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Papers in Journals

S. Hassi, H.S.V. de Snoo, and H. Winkler. Limit properties of eigenvalues in spectral gaps. Operator Theory: Adv. Appl., 263:335–355, 2018.   bib
H.S.V. de Snoo and H. Woracek. Compressed resolvents, Q-functions and h_0-resolvents in almost Pontryagin spaces. Operator Theory: Adv. Appl., 263:425–483, 2018.   bib
S. Hassi, A. Sandovici, H.S.V. de Snoo, and H. Winkler. Extremal maximal sectorial extensions of sectorial relations. Indagationes Mathematicae, 28(5):1019 – 1055, 2017.   url
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Seppo Hassi, Manfred Möller, and Henk de Snoo. Limit-point/limit-circle classification for Hain–Lüst type equations. Mathematische Nachrichten, 2017.   doi
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Anna Levit and Daniel Valesin. Improved asymptotic estimates for the contact process with stirring. Braz. J. Probab. Stat., 31(2):254–274, 05 2017.   doi
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Balázs Ráth and Daniel Valesin. Percolation on the stationary distributions of the voter model. Ann. Probab., 45(3):1899–1951, 05 2017.   doi
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Aernout van Enter and Arnaud Le Ny. Decimation of the Dyson‚ÄìIsing ferromagnet. Stochastic Processes and their Applications, 127(11):3776 – 3791, 2017.   url
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A.E. Sterk and D.L. van Kekem. Predictability of Extreme Waves in the Lorenz-96 Model Near Intermittency and Quasi-Periodicity. Complexity, 2017.   url
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B. Schapira and D. Valesin. Extinction time for the contact process on general graphs. Probability Theory and Related Fields, 169(3):871–899, Dec 2017.   doi
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N. Martynchuk and K. Efstathiou. Parallel Transport Along Seifert Manifolds and Fractional Monodromy. Communications in Mathematical Physics, 356(2):427–449, Dec 2017.   doi
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D. Boer and H. Waalkens. The Groenewold product. Dutch Journal of Physics, 1, 2017.   url
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Rodrigo Bissacot, Eric Ossami Endo, and Aernout C.D. van Enter. Stability of the phase transition of critical-field Ising model on Cayley trees under inhomogeneous external fields. Stochastic Processes and their Applications, 127(12):4126 – 4138, 2017.   url
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C. Alves, M. R. Hilário, B. N. B. De Lima, and D. Valesin. A Note on Truncated Long-Range Percolation with Heavy Tails on Oriented Graphs. Journal of Statistical Physics, 169(5):972–980, Dec 2017.   doi
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K. Efstathiou and N. Martynchuk. Monodromy of Hamiltonian systems with complexity 1 torus actions. Journal of Geometry and Physics, 115:104 – 115, 2017. FDIS 2015: Finite Dimensional Integrable Systems in Geometry and Mathematical Physics.   doi
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D. Boer and H. Waalkens. Het Groenewoldproduct. Nederlands Tijdschrift voor Natuurkunde, 2:54–57, 2017.   bib
Henk Broer and Lei Zhao. De Sitter’s theory of Galilean satellites. Celestial Mechanics and Dynamical Astronomy, 127(1):95–119, Jan 2017.   doi
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Amit Chattopadhyay, Gert Vegter, and Chee K. Yap. Certified computation of planar Morse-Smale complexes. Journal of Symbolic Computation, 78:3–40, 2017. Algorithms and Software for Computational Topology.   doi
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K. Efstathiou, A. Giacobbe, P. Mardešić, and D. Sugny. Rotation forms and local Hamiltonian monodromy. Journal of Mathematical Physics, 58(2):022902, 2017.   doi
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J.-D. Boissonnat, R. Dyer, A. Ghosh, and N. Martynchuk. An Obstruction to Delaunay Triangulations in Riemannian Manifolds. Discrete & Computational Geometry, Jul 2017.   doi
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H.S.V. de Snoo and H. Woracek. Restriction and factorization for isometric and symmetric operators in almost Pontryagin spaces. Operator Theory Adv. Appl., 252:123–170, 2016.   bib
Tomoyuki Shirai and Evgeny Verbitskiy. Solvable and algebraic systems on infinite ladder. Indag. Math. (N.S.), 27(5):1162–1183, 2016.   doi
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A.E. Sterk. Extreme amplitudes of a periodically forced Duffing oscillator. Indagationes Mathematicae, 27:1059–1067, 2016.   url
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Jean-Christophe Mourrat and Daniel Valesin. Phase transition of the contact process on random regular graphs. Electron. J. Probab., 21:17 pp. 2016.   doi
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Evgeny Verbitskiy. Thermodynamics of the binary symmetric channel. Pac. J. Math. Ind., 8:Art. 2, 9, 2016.   doi
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A.E. Sterk, D.B. Stephenson, M.P. Holland, and K.R. Mylne. On the predictability of extremes: does the butterfly effect ever decrease? Quarterly Journal of the Royal Meteorological Society, 142:58–64, 2016.   url
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Thomas Mountford and Daniel Valesin. Functional Central Limit Theorem for the Interface of the Symmetric Multitype Contact Process. ALEA Lat. Am. J. Probab. Math. Stat., 13(1):481–519, 2016.   url
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Réka Szabó and Bálint Vető. Ages of Records in Random Walks. Journal of Statistical Physics, 165(6):1086–1101, 2016.   doi
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R. Szabó and D. Valesin. From survival to extinction of the contact process by the removal of a single edge. Electron. Commun. Probab., 21:8 pp. 2016.   doi
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P. Pranav, H. Edelsbrunner, R. van de Weygaert, G. Vegter, M. Kerber, B. Jones, and M. Wintraecken. The Topology of the Cosmic Web in Terms of Persistent Betti Numbers. Monthly Notices of the Royal Astronomical Society, 465:4281–4310, 2016.   url
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Martin Göll, Klaus Schmidt, and Evgeny Verbitskiy. A Wiener lemma for the discrete Heisenberg group. Monatsh. Math., 180(3):485–525, 2016.   doi
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S. Garst and A.E. Sterk. The dynamics of a fold-and-twist map. Indagationes Mathematicae, 27:1279–1304, 2016.   url
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A. C. D. van Enter, B. N. B. de Lima, and D. Valesin. Truncated Long-Range Percolation on Oriented Graphs. Journal of Statistical Physics, 164(1):166–173, 2016.   doi
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H. W. Broer and L. Zhao. De Sitter’s theory of Galilean satellites. Celestial Mechanics and Dynamical Astronomy, 2016.   doi
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Thomas Mountford, Jean-Christophe Mourrat, Daniel Valesin, and Qiang Yao. Exponential extinction time of the contact process on finite graphs. Stochastic Processes and their Applications, 126(7):1974 – 2013, 2016.   url
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A.C.D. van Enter. Editorial: Krijgt men genoeg van experts? Nederlands Tijdschrift voor Natuurkunde, 10:330, 2016.   bib
Kevin Kuoch and Frank Redig. Ergodic theory of the symmetric inclusion process. Stochastic Processes and their Applications, 126(11):3480 – 3498, 2016.   doi
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M.P. Holland, P. Rabassa, and A.E. Sterk. Quantitative recurrence statistics and convergence to an extreme value distribution for non-uniformly hyperbolic dynamical systems. Nonlinearity, 29:2355–2394, 2016.   url
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N. Martynchuk and H. Waalkens. Knauf’s Degree and Monodromy in Planar Potential Scattering. Regular and Chaotic Dynamics, 21(6):697–706, 2016.   url
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Henk W. Broer and Heinz Hanßmann. On Jupiter and his Galilean satellites: Librations of De Sitter’s periodic motions. Indagationes Mathematicae, 27(5):1305 – 1336, 2016. Dynamics and Geometry.   doi

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H. Jardón Kojakhmetov, H.W. Broer, and R. Roussarie. Analysis of a slow–fast system near a cusp singularity. Journal of Differential Equations, 260(4):3785–3843, 2016.   url
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N.N. Martynchuk. Semi-local Liouville equivalence of complex Hamiltonian systems defined by rational Hamiltonian. Topology and its Applications, 191:119–130, 2015.   doi
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A.E. Sterk. De voorspelbaarheid van weersextremen. De Physicus, 26:44–46, 2015.   bib
Konstantinos Efstathiou, Xia Liu, and Henk W. Broer. The Boundary-Hopf-Fold Bifurcation in Filippov Systems. SIAM Journal on Applied Dynamical Systems, 14(2):914–941, 2015.   url
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M.H.M.J. Wintraecken and G. Vegter. On the Optimal Triangulation of Convex Hypersurfaces, Whose Vertices Lie in Ambient Space. Mathematics in Computer Science, 9(3):345–353, 2015.   doi
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R. Dyer, G. Vegter, and M.H.M.J. Wintraecken. Riemannian simplices and triangulations. Geometriae Dedicata, 179(1):1–48, 2015.   doi
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M. Baake, D. Lenz, and A. C. D. van Enter. Dynamical versus diffraction spectrum for structures with finite local complexity. Ergodic Theory and Dynamical Systems, 35:2017–2043, 2015.   url
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H. W. Broer. Near-Horizon Celestial Phenomena, a Study in Geometric Optics. Acta Applicandae Mathematicae, 137:17–39, 2015.   url
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W. Broer, H. Waalkens, V.B. Svetovoy, J. Knoester, and G. Palasantzas. Nonlinear actuation dynamics of Casimir oscillators in the presence of surface roughness. Phys. Rev. Applied, 4:054016, 2015.   url
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S. Hassi, H.S.V. de Snoo, and F.H. Szafraniec. Normal intermediate extensions of symmetric relations. Acta Math. Szeged, 80:195–232, 2014.   url
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H. Jardón-Kojakhmetov and Henk W. Broer. Polynomial normal forms of constrained differential equations with three parameters. Journal of Differential Equations, 257(4):1012–1055, 2014.   url
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L. Zhao. Quasi-periodic Solutions of the Spatial Lunar Three-body Problem. Cel. Mech. Dyn. Astron., 119:91–118, 2014.   url
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H.S.V. de Snoo, H. Winkler, and M. Wojtylak. Global and local behavior of zeros of nonnegative type. J. Math. Anal. Appl., 414:273–284, 2014.   url
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L. Zhao. Partial Reduction and Delaunay/Deprit coordinates. Cel. Mech. Dyn. Astron., 120:423–432, 2014.   url
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M. Göll, K. K. Schmidt, and E. Verbitskiy. Algebraic actions of the discrete Heisenberg group: Expansiveness and homoclinic points. Indagationes Mathematicae, 2014.   bib
J.-D. Boissonnat, R. Dyer, and A. Ghosh. Delaunay stability via perturbations. International Journal of Computational Geometry & Applications, 24:125–152, 2014.   url
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A. Fleige, S. Hassi, H.S.V. de Snoo, and H. Winkler. Non-semibounded closed symmetric forms associatedwith a generalized Friedrichs extension. Proc. Roy. Soc. Edinburg, 144A:731–745, 2014.   url
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J. Behrndt, S. Hassi, H.S.V. de Snoo, and H.L. Wietsma. Antitonicity of the inverse for selfadjoint matrices,operators, and relations. Proc. Amer. Math. Soc., 142:2783–2796, 2014.   url
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H. W. Broer. Bernoulli’s Light Ray Solution of the Brachistochrone Problem Through Hamilton’s Eyes. Int. J. Bifurcations Chaos, 24:1440009, 2014.   url
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A.C.D. van Enter. Aperiodicity in Equilibrium Systems: Between Order and Disorder. Acta Physica Polonica A, 126:621–624, 2014.   url
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Ü. Çiftçi, H. Waalkens, and H. W. Broer. Cotangent bundle reduction and Poincaré-Birkhoff normal forms. Physica D, 268:1–13, 2014.   url
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Ü. Çiftçi and H. Waalkens. Reaction Dynamics Through Kinetic Transition States. Phys. Rev. Lett., 110:233201, 2013.   url
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K. Efstathiou and H. W. Broer. Uncovering Fractional Monodromy. Comm. Math. Phys., 324:549–588, 2013.   url
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D. Lind, K. Schmidt, and E. Verbitskiy. Homoclinic points, atoral polynomials, and periodic points of algebraic $\Bbb Z^d$-actions. Ergodic Theory Dynam. Systems, 33(4):1060–1081, 2013.   url
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H. Duminil-Copin and A.C.D. van Enter. Sharp metastability threshold for an anisotropic bootstrap percolation model. Ann. Prob., 41(3A):1218–1242, 2013.   url
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J. Behrndt, S. Hassi, H.S.V de Snoo, H.L. Wietsma, and H. Winkler. Linear fractional transformations of Nevanlinna functionsassociated with a nonnegative operator. Complex Anal. Oper. Theory, 7:331–362, 2013.   bib
H. W. Broer, M. Levi, and C. Simó. Large scale radial stability density of Hill’s equation. Nonlinearity, 26:565–589, 2013.   url
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H. W. Broer. Bernoulli’s lichtstraal-oplossing van het brachistochrone probleem door de ogen van Hamilton. Nieuw Archief voor Wiskunde 5th series, 14(2):99–107, 2013.   url
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H. W. Broer, T. J. Kaper, and M. Krupa. Geometric Desingularization of a Cusp Singularity in Slow–Fast Systems with Applications to Zeeman’s Examples. J. Dyn. Diff. Equat., 25:925–958, 2013.   url
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S. Hassi, H.S.V. de Snoo, and F.H. Szafraniec. Infinite-dimensional perturbations, maximally nondensely defined symmetric operators, and some matrix representations. Indag. Math., 23:1087–1117, 2012.   bib
A.C.D. van Enter, G. Iacobelli, and S. Taati. POTTS MODEL WITH INVISIBLE COLORS:RANDOM-CLUSTER REPRESENTATION AND PIROGOV–SINAI ANALYSIS. Rev. Math. Phys., 24:1250004, 2012.   url
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H.S.V. de Snoo and H. Woracek. Sums, couplings, and completions of almost Pontryagin spaces. Lin. Alg. Appl., 437:559–580, 2012.   bib
E. G. F. Thomas. Vector integration. Quaestiones Mathematicae, 35(4):391–416, 2012.   url
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A. Sterk, M.P. Holland, P. Rabassa, H.W. Broer, and R. Vitolo. Predictability of extreme values in geophysical models. Nonlin. Processes Geophys., 19:529–539, 2012.   url
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L. Yu, K. Efstathiou, P. Isenberg, and T. Isenberg. Efficient Structure-Aware Selection Techniques for 3D Point Cloud Visualizations with 2DOF Input. IEEE Transactions on Visualization and Computer Graphics, 18(12):2245–2254, 2012.   doi
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A.C.D. van Enter and A. Fey. Metastability Thresholds for Anisotropic Bootstrap Percolation in Three Dimensions. J. Stat. Phys., 147:97–112, 2012.   url
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J.-Ph. Labrousse, A. Sandovici, H.S.V. de Snoo, and H. Winkler. Closed linear relations and their regular points. Operators and Matrices, 6:681–714, 2012.   bib
V.A. Derkach, S. Hassi, and H.S.V. de Snoo. The truncated moment problem. Math. Nachr., 285:1741–1769, 2012.   bib
Ü. Çiftçi and H. Waalkens. Phase space structures governing reaction dynamics in rotating molecules. Nonlinearity, 25:791–812, 2012.   url
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H.W. Broer. Perspectives on the legacy of Poincaré in the field of dynamical systems. NAW, 5/13(3):201–208, 2012.   url
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A.C.D. van Enter, V. N. Ermolaev, G. Iacobelli, and C. Külske. Gibbs–non-Gibbs properties for evolving Ising models on trees. Ann. Inst. H. Poincaré Probab. Statist., 48(3):774–791, 2012.   url
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H.W. Broer. Resonance and Fractal Geometry. Acta Applicandae Mathematicae, 120(1):61–86, 2012.   url
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A.C.D. van Enter. Tijd in machten van tien. Nederlands Tijdschrift voor Natuurkunde, 78:70, 2012.   bib
J. Behrndt, S. Hassi, H.S.V. de Snoo, and H.L. Wietsma. Limit properties of monotone matrix functions. Lin. Alg. Appl., 436:935–953, 2012.   bib
A.C.D. van Enter. On the prevalence of non-Gibbsian states in mathematical physics. IAMP News Bulletin, April 2012:15–24, 2012.   url
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K. Efstathiou and A. Giacobbe. The topology associated to cusp singular points. Nonlinearity, 25(12):3409–3422, 2012.   doi
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M. P. Holland, R. Vitolo, P. Rabassa, A. E. Sterk, and H. W. Broer. Extreme value laws in dynamical systems under physical observables. Physica D, 2011.   url
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R. Hales, M. Sieber, and H. Waalkens. Trace formula for a dielectric microdisk with a point scatterer. J. Phys. A, 44:155305, 2011.   url
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Klaus Schmidt and Evgeny Verbitskiy. New directions in algebraic dynamical systems. Regul. Chaotic Dyn., 16(1-2):79–89, 2011.   doi
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A.C.D. van Enter, S. Romano, and V.A. Zagrebnov. Comment on ’Phase transition of a two-dimensional generalized XY model’. J. Phys. A, 44:208001, 2011.   url
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E.A. Verbitskiy. On factors of -measures. Indagationes Mathematicae, 22(3-4):315 – 329, 2011. Devoted to: Floris Takens (1940-2010).   url
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B. Škorić, C. Obi, E.A. Verbitskiy, and B. Schoenmakers. Sharp lower bounds on the extractable randomness from non-uniform sources. Inform. and Comput., 209(8):1184–1196, 2011.   bib
A.C.D. van Enter, G. Iacobelli, and S. Taati. First-Order Transition in Potts Models with “Invisible” States – Rigorous Proofs –. Prog. Theor. Phys., 126:983–991, 2011.   url
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R. Vitolo, H. Broer, and C. Simó. Quasi-periodic Bifurcations of Invariant Circles in Low-dimensional Dissipative Dynamical Systems. Regular and Chaotic Dynamics, 16(1-2):154–184, 2011.   url
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E.A. Verbitskiy. Thermodynamics of Hidden Markov Processes. London Mathematical Society, Lecture Note Series 385 B. Markus, K. Petersen, T. Weissman, (Eds), 2011. Papers from the Banff International Research Station Workshop on Entropy of Hidden Markov Processes and Connections to Dynamical Systems.   bib
H.S.V. de Snoo, H. Winkler, and M. Wojtylak. Zeros of nonpositive type of generalized Nevanlinna functions with one negative square. J. Math. Anal. Appl., 382:399–417, 2011.   bib
A.C.D. van Enter, C. Külske, and A. Opoku. Discrete approximations to vector spin models. J. Phys. A: Math. Theor., 44:475002, 2011.   url
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J. Behrndt, S. Hassi, H.S.V. de Snoo, H.L. Wietsma, and H. Winkler. Linear fractional transformations of Stieltjes functions. Proc. Applied Math. Mech., 11:887–888, 2011.   bib
J. Behrndt, S. Hassi, H.S.V. de Snoo, and H.L. Wietsma. Square-integrable solutions and Weyl functionsfor singular canonical systems. Math. Nachr. (Editor’s choice), 11:1334 – 1384, 2011.   bib
D.G.M. Beersma, H.W. Broer, K. Efstathiou, K.A. Gargar, and I. Hoveijn. Pacer cell response to periodic Zeitgebers. Physica D, 19:1516–1527, 2011.   url
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M. Baake and A.C.D. van Enter. Close-packed Dimers on the Line: Diffraction versus Dynamical Spectrum. J. Stat. Phys., 143(1):88–101, 2011.   url
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A.C.D. van Enter and E. de Groote. An Ultrametric State Space with a Dense Discrete Overlap Distribution: Paperfolding Sequences. J. Stat. Phys., 142:223–228, 2011.   url
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J. Behrndt, V.A. Derkach, S. Hassi, and H.S.V. de Snoo. A realization theorem for generalized Nevanlinna pairs. Operators and Matrices, 5:679–706, 2011.   bib
H. Broer, H. Dijkstra, C. Simó, A. Sterk, and R. Vitolo. The dynamics of a low-order model for Atlantic Multidecadal Oscillation. DCDS-B, 16(1):73–102, 2011.   url
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A.C. van Bon, E. Verbitskiy, G. van Basum, J.B.L. Hoekstra, and J.H. De Vries. Exercise in Closed-Loop Control: A Major Hurdle. Journal of Diabetes Science and Technology, 5(6):1337–1341, 2011.   bib
H. W. Broer, S. J. Holtman, G. Vegter, and R. Vitolo. Dynamics and Geometry Near Resonant Bifurcations. Regular and Chaotic Dynamics, 16(1-2):39–50, 2011.   url
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Ü. Çiftçi and H. Waalkens. Holonomy reduced dynamics of triatomic molecules. J. Phys. A, 44:165202, 2011.   url
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A.C. den Brinker and H. and Verbitskiy Krishnamoorthi. Similarities and Differences Between Warped Linear Prediction and Laguerre Linear Prediction. IEEE Transactions on Audio, Speech & Language Processing, 19(1):24–33, 2011.   url
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A. Fleige, S. Hassi, H.S.V. de Snoo, and H. Winkler. Sesquilinear forms corresponding to a non-semibounded Sturm-Liouville operator. Proc. Royal Soc. Edinburgh., 140A:291–318, 2010.   bib
A.C.D. van Enter, C. Külske, A.A. Opoku, and W.M. Ruszel. Gibbs–non-Gibbs properties for n-vector lattice and mean-field models. Braz. J. Prob. Stat., 24(2):226–255, 2010.   url
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A.C.D. van Enter and E. Verbitskiy. Erasure Entropies and Gibbs Measures. Markov Processes Relat. Fields, 16:3–14, 2010.   bib
A. Goussev, R. Schubert, H. Waalkens, and S. Wiggins. The flux-flux correlation function for anharmonic barriers. J. Chem. Phys., 133:244113, 2010.   url
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K. Schmidt and E. Verbitskiy. New directions in algebraic dynamical systems. Regular and Chaotic Dynamics, 2010.   url
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M. Hoekstra, M. Vogelzang, E. Verbitskiy, and M.W.N. Nijsten. Hourly measurements not required for safe and effective glycemic control in the critically ill patient. Critical Care, 14(404), 2010.   url
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A.C.D. van Enter, R. Fernandez, F. den Hollander, and F. Redig. A Large-Deviation View on Dynamical Gibbs-non-Gibbs Transitions. Mosc. Math. J., 10(4):687–711, 2010.   url
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F. Redig, S. Roelly, and W. Ruszel. Short-time Gibbsianness for Infinite-dimensional Diffusions with Space-Time Interaction. J. Stat. Phys., 138(6):1124–1144, 2010.   url
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J.-Ph. Labrousse, A. Sandovici, H.S.V. de Snoo, and H. Winkler. The Kato decomposition of quasi-Fredholm relations. Operators and Matrices, 4:1–51, 2010.   bib
I. Hoveijn and O.N. Kirillov. Singularities on the boundary of the stability domain near 1:1 resonance. J. Diff. Equ., 248(10):2585–2670, 2010.   url
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H. W. Broer, H. Hanßmann, and M. B. Sevryuk (eds.). Special Issue on KAM Theory and its applications.. DCDS-S, 3(4), 2010.   url
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K. Efstathiou and D. Sugny. Integrable Hamiltonian systems with swallowtails. J. Phys. A, 43(8):085216, 2010.   url
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P. Bonckaert, I. Hoveijn, and F. Verstringe. Local analytic reduction offamilies of diffeomorphisms. J. Math. Anal. Appl., 367(1):317–328, 2010.   url
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J. Behrndt, S. Hassi, H.S.V. de Snoo, and R. Wietsma. Monotone convergence theorems for semibounded operators and forms with applications. Proc. Royal Soc. Edinburgh, Sec. A, 140(5):927–951, 2010.   url
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E. Assémat, K. Efstathiou, M. Joyeux, and D. Sugny. Fractional bidromy in the vibrational spectrum of HOCl. Phys. Rev. Lett., 104(11):113002, 2010.   url
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H.W. Broer. Do Diophantine vectors form a Cantor bouquet? Journ. Difference Equations and Applications, 16(5/6):433–434, 2010.   url
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H. W. Broer, K. Efstathiou, and O. V. Lukina. A geometric fractional monodromy. DCDS-S, 3(4):517–532, 2010.   url
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K. Efstathiou and D. A. Sadovskií. Normalization and global analysis of perturbations of the hydrogen atom. Rev. Mod. Phys., 82(3):2099–2154, 2010.   url
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H. W. Broer, C. Simó, and R. Vitolo. Chaos and quasi-periodicity in diffeomorphisms of the solid torus. DCDS-B, 14(3):871–905, 2010.   url
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H. W. Broer, S.J. Holtman, and G. Vegter. Recognition of resonance type in periodically forced oscillators. Physica D, 239(17):1627–1636, 2010.   bib
H. W. Broer and V. A. Gaiko. Global qualitative analysis of a quartic ecological model. Nonlinear Anal., 72(2):628–634, 2010.   url
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R. Schubert, H. Waalkens, A. Goussev, and S. Wiggins. Periodic-orbit formula for quantum reactions through transition states. Phys. Rev. A, 82(1):012707, 2010.   url
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R. Vitolo, H.W. Broer, and C. Simó. Routes to chaos in the Hopf-saddle-node bifurcation for fixed points of 3D-diffeomorphisms. Nonlinearity, 23:1919–1947, 2010.   url
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A.E. Sterk, R. Vitolo, H.W. Broer, Simó , and H.A. Dijkstra. New nonlinear mechanisms of midlatitude atmospheric low-frequency variability. Physica D, 239(10):702–718, 2010.   url
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H. Waalkens and S. Wiggins. Geometric Models of the Phase Space Structures Governing Reaction Dynamics. Reg. Chaot. Dyn., 15:1–39, 2010.   url
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E. Verbitskiy. Variational Principle for Fuzzy Gibbs Measures. Moscow Mathematical Journal, 10(4):811–829, 2010.   url
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E. Verbitskiy, P. Tuyls, C. Obi, B. Skoric, and B. Schoenmakers. Key Extraction From General Non-Discrete Signals. EEE Trans. on Information Forensics and Security, 5(2):269–279, 2010.   url
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S. Hassi, H.S.V. de Snoo, and F.H. Szafraniec. Componentwise and canonical decompositions of linear relations. Dissertationes Math., 465:1–59, 2009.   url
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S. Hassi, Z. Sebestyén, and H.S.V. de Snoo. Domain and range descriptions for adjoint relations, and parallel sums and differences of forms. Oper. Theory Adv. Appl., 198:211–227, 2009.   bib
A. Goussev, R. Schubert, H. Waalkens, and S. Wiggins. The quantum normal form approach to reactive scattering: The cumulative reaction probability for collinear exchange reactions. J. Chem. Phys., 131(14):144103, 2009.   url
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R. Hales and H. Waalkens. Classical and quantum transport through entropic barriers modeled by hardwall hyperboloidal constrictions. Ann. Phys., 324(7):1408–1451, 2009.   url
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M. Hoekstra, M. Vogelzang, E. Verbitskiy, and M. Nijsten. Health technology assessment review: Computerized glucose regulation in the intensive care unit - how to create artificial control. Critical Care, 13:223, 2009.   bib
A.V. Sazonov, C. K. Ho, J. W. M. Bergmans, J. B. A. M. Arends, Griep, P. A. M., E.A. Verbitskiy, P. J. M. Cluitmans, and P.A. J. M. Boon. An investigation of the phase locking index for measuring of interdependency of cortical source signals recorded in the EEG. Biological Cybernetics, 100(2):129–146, 2009.   bib
A. Sandovici and H.S.V. de Snoo. An index formula for the product of linear relations. Linear Algebra Appl., 431(11):2160–2171, 2009.   url
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H. Waalkens. Quantum transition state theory. Bulletin Am. Phys. Soc., 51, 2009.   bib
R. Schubert, H. Waalkens, and S. Wiggins. A Quantum Version of Wigner’s Transition State Theory. Few-Body Systems, 45(2-4):203–206, 2009.   url
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Klaus Schmidt and Evgeny Verbitskiy. Abelian sandpiles and the harmonic model. Comm. Math. Phys., 292(3):721–759, 2009.   doi
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S. R. Fleurke and C. Külske. A Second-row Parking Paradox. J. Stat. Phys., 136(2):285–295, 2009.   url
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S. Hassi, Z. Sebestyén, and H.S.V. de Snoo. Lebesgue type decompositions for nonnegative forms. J. Funct. Anal., 257(12):3858–3894, 2009.   url
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J.-R. Chazottes, P. Collet, F. Redig, and E. Verbitskiy. A concentration inequality for interval maps with an indifferent fixed point. Ergodic Theory Dynam. Systems, 29(4):1097–1117, 2009.   doi
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H.W. Broer, S.J. Holtman, G. Vegter, and R. Vitolo. Geometry and dynamics of mildly degenerate Hopf-Neimarck-Sacker families near resonance. Nonlinearity, 22:2161–2200, 2009.   url
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H.W. Broer, M.C. Ciocci, H. Hanßmann, and A. Vanderbauwhede. Quasi-periodic stability of normally resonant tori. Physica D, 238:309–318, 2009.   url
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J. Behrndt and H.S.V. de Snoo. On Kreĭ n’s formula. J. Math. Anal. Appl., 351(2):567–578, 2009.   url
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Yu.M. Arlinskiĭ, S. Hassi, and H. S. V. de Snoo. Passive systems with a normal main operator and quasi-selfadjoint systems. Complex Anal. Oper. Theory, 3(1):19–56, 2009.   url
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G. S. Ezra, H. Waalkens, and S. Wiggins. Microcanonical rates, gap times, and phase space dividing surfaces. J. Chem. Phys., 130(16):164118, 2009.   url
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J. Behrndt, S. Hassi, and H.S.V. de Snoo. Boundary relations, unitary colligations, and functional models. Complex Anal. Oper. Theory, 3(1):57–98, 2009.   url
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H.R. Dullin and H. Waalkens. Dullin and Waalkens reply [to comments by Eiglsperger et al. on the phase shift for 2D central scattering]. Phys. Rev. Lett., 102(18):188902, 2009.   url
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K. Efstathiou, O.V. Lukina, and D.A. Sadovskií. Complete classification of qualitatively different perturbations of the hydrogen atom in weak near orthogonal electric and magnetic fields. J. Phys. A, 42(5):055209, 2009.   url
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V. A. Derkach, S. Hassi, M.M. Malamud, and H.S.V. de Snoo. Boundary relations and generalized resolvents of symmetric operators. Russ. J. Math. Phys., 16(1):17–60, 2009.   url
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A.C.D. van Enter and W.M. Ruszel. Gibbsianness versus non-Gibbsianness of time-evolvedplanar rotor models. Stoch. Proc. Appl., 431(119):1866–1888, 2009.  
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C.P. Dettmann, G.V. Morozov, M. Sieber, and H. Waalkens. Unidirectional emission from circular dielectric microresonators with a point scatterer. Phys. Rev. A, 80(6):063813, 2009.   url
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C.P. Dettmann, G.V. Morozov, M. Sieber, and H. Waalkens. Internal and external resonances of dielectric disks. Europhys. Lett., 87(3):34003, 2009.   url
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A.C.D. van Enter and W.M. Ruszel. Loss and recovery of Gibbsianness for XY models in small external fields. J. Math. Phys., 49(12):125208, 2008.   bib
S. Hassi, A. Sandovici, H.S.V. de Snoo, and H. Winkler. One-dimensional perturbations, asymptotic expansions, and spectral gaps. Oper. Theory Adv. Appl., 188:149–173, 2008.   bib
A.C.D. van Enter, F. Redig, and E. Verbitskiy. Gibbsian and non-Gibbsian states at Eurandom. Stat. Neerlandica, 62(3):331–344, 2008.   bib
C. Külske and A. Opoku. The posterior metric and the goodness of Gibbsianness for transforms of Gibbs measures. El. J. Prob., 13:1307–1344, 2008.   bib
T. LaCour Jansen and W.M. Ruszel. Narrowing in the time-averaging approximation for simulating two-dimensional nonlinear infrared spectra. J. Chem. Phys., 128:214501, 2008.   bib
C. Külske and A. Opoku. Continuous-spin mean-field models: limiting kernels and Gibbs properties of local transforms. J. Math. Phys., 49(12):125215, 2008.   bib
A.C.D. van Enter and C. C. Külske. Non-existence of random gradient Gibbs measures in continuous interface models in d=2. Ann. Appl. Prob., 18(1):109–119, 2008.   bib
H. Waalkens, R. Schubert, and S. Wiggins. Wigner’s Dynamical Transition State Theory in Phase Space: Classical and Quantum. Nonlinearity, 21:R1–R118, 2008.   bib
O.V. Lukina, F. Takens, and H.W. Broer. Global properties of integrable Hamiltonian systems. Regular and Chaotic Dynamics, 13(6):588–630, 2008.   bib
C. Külske and E. Orlandi. Continuous interfaces with disorder: Even strong pinning is too weak in 2 dimensions. Stoch. Proc. Appl., 118(11):1973–1981, 2008.   bib
H.W. Broer, C. Simó, and R. Vitolo. The Hopf-Saddle-Node bifurcation for fixed points of 3D-diffeomorphisms, analysis of a resonance ‘bubble’. Physica D, 237:1773–1799, 2008.   bib
H.W. Broer, C. Simó, and R. Vitolo. The Hopf-Saddle-Node bifurcation for fixed points of 3D-diffeomorphisms, the Arnol’d resonance web. Bull. Belgian Math. Soc. Simon Stevin, 15:769–787, 2008.   bib
J. Behrndt, S. Hassi, and H.S.V. de Snoo. Functional models for Nevanlinna families. Opuscula Mathematica, 28:233–245, 2008.   bib
H.W. Broer, S.J. Holtman, and G. Vegter. Recognition of the bifurcation type of resonance in mildly degenerate Hopf-Neimark-Sacker families. Nonlinearity, 21:2463–2482, 2008.   bib
H.W. Broer, K. Efstathiou, and E. Subramanian. Robustness of unstable attractors in arbitrarily sized pulse-coupled systems with delay. Nonlinearity, 21:13–49, 2008.   bib
K. Efstathiou, O.V. Lukina, and D.A. Sadovskií. Most typical 1:2 resonant perturbation of the hydrogen atom by weak electric and magnetic fields. Phys. Rev. Lett., 101:253003, 2008.   bib
H.W. Broer, K. Efstathiou, and E. Subramanian. Heteroclinic cycles between unstable attractors. Nonlinearity, 21:1385–1410, 2008.   bib
H.R. Dullin and H. Waalkens. Nonuniqueness of the Phase Shift in Central Scattering due to Monodromy. Phys. Rev. Lett., 101:070405, 2008.   bib
H.W. Broer and G. Vegter. Generic Hopf-Ne\u\imark-Sacker bifurcations in feed forward systems. Nonlinearity, 21:1547–1578, 2008.   bib
C.P. Dettmann, G.V. Morozov, M. Sieber, and H. Waalkens. Directional Emission from an Optical Microdisk Resonator with a Point Scatterer. Europhys. Lett., 82:34002, 2008.   bib
H.W. Broer and R. Vitolo. Dynamical systems modeling of low-frequency variability in low-order atmospheric models. Discrete and Continous Dynamical Systems - Series B, 10(2/3):401–419, 2008.   bib
B.H. Fleurke Dehling and C. Külske. Parking on a random tree. J. Stat. Phys., 133(1):151–157, 2008.   bib
A.C.D. Van Enter and W.J.T. Hulshof. Finite-size effects for anisotropic bootstrap percolation: logarithmic corrections. J. Stat. Phys., 128(6):1383–1389, 2007.   bib
A.C.D. Van Enter. Alleen maar verliezers? De volgende aflevering in de affaire-Debije. Nederlands Tijdschrift voor Natuurkunde, 73(6):170, 2007.   bib
K. Efstathiou, D.A. Sadovski{\’\i}, and R.H. Cushman. Fractional monodromy in the $1:-2$ resonance. Adv. In Math., 209:241–273, 2007.   bib
K. Efstathiou and D.A. and Sadovski{\’\i}. Classification of perturbations of the hydrogen atom by small static electric and magnetic fields. Proc. Roy. Soc. London Ser. A., 463:1771–1790, 2007.   bib
A.C.D. Van Enter and C. Külske. Two connections between random systems and non-Gibbsian measures. J. Stat. Phys., 126(4&5):1007–1024, 2007.   bib
J.-R. Chazottes, P. Collet, C. Külske, and F. Redig. Concentration inequalities for random fields via coupling. Probab. Theory Related Fields, 137(1{&}2):201–225, 2007.   bib
S. Hassi, Z. Sebesty{\’}en, H.S.V. De Snoo, and F.H. Szafraniec. A canonical decomposition for linear operators and linear relations. Acta Math. Hungar., 115:281–307, 2007.   bib
A.C.D. Van Enter and W.M. Ruszel. Chaotic temperature dependence at zero temperature. J. Stat. Phys., 127(3):567–573, 2007.   bib
A. Sandovici, H.S.V. De Snoo, and H. Winkler. Ascent, descent, nullity, and defect for linear relations in linear spaces. Lin. Alg. Appl., 423:456–497, 2007.   bib
H.W. Broer and F. Takens. Unicity of \sc kam tori. Ergod. Th. &Dynam. Sys., 27:713–724, 2007.   bib
C. Külske and A. Le Ny. Spin-flip dynamics of the Curie-Weiss model: Loss of Gibbsianness with possibly broken symmetry. Comm. Math. Phys., 271(2):431–454, 2007.   bib
S. Hassi, A. Sandovici, H.S.V. De Snoo, and H. Winkler. Extremal extensions for the sum of nonnegative selfadjoint relations. Proc. Amer. Math. Soc., 135:3193–3204, 2007.   bib
A.C.D. Van Enter and S.B. Shlosman. First-order transitions for very nonlinear sigma models. Mark. Proc. Rel. Fields, 13(2):239–249, 2007.   bib
S. Hassi, A. Sandovici, H.S.V. De Snoo, and H. Winkler. A general factorization approach to the extension theory of nonnegative operators and relations. J. Operator Theory, 58:351–386, 2007.   bib
H.W. Broer, V. Naudot, R. Roussarie, and K. Saleh. Dynamics of a predator-prey model with non-monotonic response function. DCDS, 18(2&3):221–251, 2007.   bib
J. Behrndt and C. Trunk. On the negative squares of indefinite Sturm-Liouville operators,. J. Diff. Eqns., 238:491–519, 2007.   bib
J. Behrndt, A. Luger, and C. Trunk. Generalized resolvents of a class of symmetricoperators in Krein spaces. Oper. Theory. Adv. Appl., 175:13–32, 2007.   bib
J. Behrndt and A. Luger. An analytic characterization of the eigenvalues of self-adjointextensions. J. Funct. Anal., 242:607–640, 2007.   bib
J. Behrndt and M. Langer. Boundary value problems for elliptic partial differentialoperators on bounded domains. J. Funct. Anal., 243:536–565, 2007.   bib
H.W. Broer, V. Naudot, R. Roussarie, K. Saleh, and F.O.O. Wagener. Organising centres in the semi-global analysis of dynamical systems. IJAMAS, 12(D07):7–36, 2007.   bib
Yu.M. Arlinski{\i}, S Hassi, and H.S.V. de Snoo. Parametrization of contractive block operator matrices and passive discrete systems. Complex Analysis Operator Theory, 1:211–233, 2007.   bib
J. Behrndt. On the spectral theory of singular indefinite Sturm-Liouville operators. J. Math. Anal. Appl., 334:1439–1449, 2007.   bib
H.W. Broer, A. Hagen, and G. Vegter. Numerical continuation of normally hyperbolic invariant manifolds. Nonlinearity, 20:1499–1534, 2007.   bib
H.W. Broer, J. Hoo, and V. Naudot. Normal linear stability of quasi-periodic tori. J. Diff. Eqns., 232(2):355–418, 2007.   bib
S. Belyi, S. Hassi, H.S.V. de Snoo, and E.R. Tsekanovski{\i}. A general realization problem for matrix-valued Herglotz-Nevanlinna functions. Lin Alg. Appl., 419:331–358, 2007.   bib
H.W. Broer, H. Hanßmann, and J. Hoo. The quasi-periodic Hamiltonian Hopf bifurcations. Nonlinearity, 20:417–460, 2007.   bib
H.W. Broer, M.C. Ciocci, and H. Hanßmann. The quasi-periodic reversible Hopf bifurcation. IJBC, 17(8):2605–2623, 2007.   bib
H.W. Broer, R.H. Cushman, F. Fassó, and F. Takens. Geometry of \sc kam tori for nearly integrable Hamiltonian systems. Ergod. Th. &Dynam. Sys., 27:725–741, 2007.   bib
H.W. Broer. Computergebruik en demathematisering. Nieuw Arch. Wisk. 5th series, 5(3):201–206, 2007.   bib
S. Hassi, M. Möller, and H.S.V. de Snoo. A class of Nevanlinna functions associated with Sturm-Liouville operators. Proc. Amer. Math. Soc., 134:2885–2893, 2006.   bib
S. Hassi, H.S.V. de Snoo, A.E. Sterk, and H. Winkler. Non-standard boundary conditions for a class of Sturm-Liouville problems. Revue Roumaine de Mathematiques Pures et Appliquees, 51:641–653, 2006.   bib
J.M. Gambaudo and M. Martens. Algebraic Topoloty for Minimal Cantor Sets. Ann. Inst. Henri Poincaré, 7(3):423–446, 2006.   bib
A. Sandovici. Langrangian pairs in Hilbert spaces. Methods of Functional Analysis and Topology, 12(1):82–100, 2006.   bib
S. Hassi, A. Sandovici, H.S.V. de Snoo, and H. Winkler. Form sums of nonnegative selfadjoint operators. Acta Math. Hungar., 111:81–105, 2006.   bib
A.C.D. van Enter and C. Külske. Two connections between random systems and non-Gibbsian measures. published Online in J.Statist.Phys: DOI: 10.1007/s10955-006-9185-9, 2006.   bib
C. Külske and R. Redig. Loss without recovery of Gibbsianness during diffusion of continuous spins. Prob. Theor. Rel. Fields, 135:428–456, 2006.   bib
M. Kaltenbäck, H. Winkler, and H. Woracek. Generalized Nevanlinna functions with essentially positive spectrum. J. Oper. Theory, 55:17–48, 2006.   bib
H.W. Broer. Wiskunde als kritische succesfactor? Euclides, 81(6):282–285, 2006.   bib
H.W. Broer, H. Hansßmann, and J. You. Umbilical torus bifurcations in Hamiltonian systems. J. Diff. Eqns., 222:233–262, 2006.   bib
J Behrndt, F. Philipp, and C. Trunk. Properties of the spectrum of type $\pi_+$ and type $\pi_-$ of self-adjointoperators in Krein spaces. Methods Funct. Anal. Topoloty, 12:326–340, 2006.   bib
J Behrndt and P. Jonas. Boundary value problems with local generalized Nevanlinna functions in the boundary condition. Integral Equations Operator Theory, 56:453–475, 2006.   bib
V.A. Derkach, S. Hassi, M.M. Malamud, and H.S.V. de Snoo. Boundary relations and their Weyl families. Trans. Amer. Math. Soc., 358:5351–5400, 2006.   bib
J Behrndt and C. Trunk. Sturm-Liouville operators with indefinite weight functions and eigenvalue depending boundary conditions. J. Diff. Eqns., 222:297–324, 2006.   bib
H.W. Broer, V. Naudot, R. Roussarie, and K. Saleh. A predator-prey model with non-monotonic response function. Regular and Chaotic Dynamics, 11(2):155–165, 2006.   bib
J.R. Chazottes, P. Collet, C. Külske, and F. Redig. Deviation inequalities via coupling for stochastic processes and random fields. published online in Prob. Theory Related Fields, DOI 10.1007/s00440-006-0026-1, 2006.   bib
H.W. Broer, V. Naudot, and R. Roussarie. Catastrophe theory in Dulac unfoldings. Ergod. Th. &Dynam. Sys., 26:1–35, 2006.   bib
A. Sandovici and V. Blanuta. Generalized Beil metric on Cartan spaces. Tensor (N.S.), 66(1):34–43, 2005.   bib
H.S.V. De Snoo and H. Winkler. Two-dimensional trace-normed canonical system of differential equations and selfadjoint interface conditions. Integral Equations Operator Theory, 51:73–108, 2005.   bib
A. Sandovici, H.S.V. de Snoo, and H. Winkler. The structure of linear relations in Euclidean spaces. Lin. Alg. Appl., 397:141–169, 2005.   bib
K. Efstathiou. Metamorphoses of Hamiltonian Systems with Symmetries. LNM 1864, 2005.   bib
H.S.V. De Snoo and H. Winkler. Canonical systems of differential equations with selfadjoint interface conditions on graphs. Proc. Roy. Soc. Edinburgh, 135A:297–315, 2005.   bib
A. Sandovici. A smooth Gauge model on tangent bundle. Rendiconti del Seminario Matematico Torino, 63(3):255–282, 2005.   bib
F. Durmortier, H.W. Broer, J. Mawhin, A. Vanderbauwhede, and S.M. Verduyn-Lunel. Equadiff 2003, Proc. Int. Conf. Differential Equations. Proc. Int. Conf. Differential Equations, 2005.   bib
M.C. Ciocci, A. Litvak-Hinenzon, and H.W. Broer. Survey on dissipative \sc kam theory including quasi-periodic bifurcationtheory based on lectures by Henk Broer. Geometric Mechanics and Symmetry: thePeyresq Lectures, 306:303–355, 2005.   bib
Yu.M. Arlinskiĭ , S. Hassi, and H.S.V. de Snoo. $Q$-functions of Hermitian contractions of Kre\u\in-Ovcharenko type. Integral Equations Operator Theory, 35:153–189, 2005.   bib
M. Kaltenbäck, H. Winkler, and H. Woracek. Almost Pontryagin spaces. Oper. Theory Adv. Appl., 160:253–273, 2005.   bib
S. Hassi, Z. Sebestyén, and H.S.V. de Snoo. On the nonnegativity of operator products. Acta Math. Hungar., 109(4):1–15, 2005.   bib
H.W. Broer, V. Naudot, R. Roussarie, and K. Saleh. Bifurcations of a predator-prey model with non-monotonic response function. C.R. Acad. Sci. Paris, 341(1):601–604, 2005.   bib
V. Naudot and K. Neirynck. Poincaré return map near a planar center. Communications on Applied Nonlinear Analysis, 12(3):1–27, 2005.   bib
H.W. Broer, H. Hanßmann, and J. You. Bifurcations of normally parabolic tori in Hamiltonian systems. Nonlinearity, 18:1735–1769, 2005.   bib
M. Mocanu and A. Sandovici. On the convergence of a sequence generated by an integral. Creative Mathematics, 14:31–42, 2005.   bib
C. Külske and F. Redig. Loss without recovery of Gibbsianness during diffusion of continuous spins. Probability Theory and Related Fields, 2005.   bib
M. Martens, V. Naudot, and J. Yang. Suspended Cubic Hénon likemap in the unfolding of a degenerate homoclinic orbit with aresonance. C.R. Acad. Sci. Paris, 340(1):843–846, 2005.   bib
C. Liverani and M. Martens. Convergence to equilibrium for intermittent symplectic maps. Commun. Math. Phys., 260(3):527–556, 2005.   bib
A. Sandovici and V. Blanuta. On a framed $f$-structure on tangent manifold of a Riemannian space. Libertas Math., 24:21—28, 2004.   bib
A. Sandovici. Two remarkable connections associated with a Beil metric on Cartan spaces. Rad. Mat., 12:189—203, 2004.   bib
H.W. Broer. Ken uw klassieken: Kolmogorov in het Concertgebouw. Nederlands Tijdschrift voor Natuurkunde, jaargang 70:20—21, 2004.   bib
H.W. Broer. An interview with Jacob Palis. Dynamical Systems Magizine, 2004.   bib
S. Hassi, M. Möller, and H.S.V. De Snoo. Singular Sturm-Liouville equations whose coefficients depend rationally on the eigenvalue parameter. J. Math. Anal. Appl., 295:258—275, 2004.   bib
H.W. Broer, M. Van Noort, C. Simó, and G. Vegter. The parametrically forced pendulum: a case study in $1\frac12$ degree of freedom. J. Dynamics and Differential Equations, 16(4):897—947, 2004.   bib
S. Hassi, H.S.V. De Snoo, and E.R.. Tsekanovski\u{\i}. The realization problem for Herglotz-Nevanlinna functions. Unsolved problems in mathematical systems and control theory, 2004.   bib
H.W. Broer. Kolmogorov la ‘K’ de KAM. Butlletí de la Societat Catalana de Matematiques, 18(2):39–57, 2004.   bib
H.W. Broer. KAM theory: the legacy of Kolmogorov’s 1954 paper. Bull. Amer. Math. Soc. (New Series), 41(4):507–521, 2004.   bib
V.A. Derkach, S. Hassi, M.M. Malamud, and H.S.V.. De Snoo. Boundary relations and Weyl families. Rus. Doklady Acad. Sci., 399:151—156, 2004.   bib
S. Hassi, M.M. Malamud, and H.S.V.. De Snoo. On Kre\u\in’s extension theory of nonnegative operators. Math. Nachr., 274/275:40—73, 2004.   bib
A. Hagen. Hyperbolic trajectories of time discretizations. Nonlinear Analysis, 59:121—132, 2004.   bib