[person]
|
prof. dr. aernout coert daniël van enter
Rijksuniversity Groningen the netherlands
email: aenter [phys.rug.nl] |
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[publications]
A.C.D. van Enter,
Stability Properties of Phase Diagrams in Lattice Systems;
Ph.D. thesis, Rijksuniversiteit Groningen, 1981
A.C.D. van Enter and W.Th.F. den Hollander:
Interacting particle systems and Gibbs measures
MRI masterclass notes , 1992--1993
years
1980-1985 1986-1990 1991-1995
1996-2000 2001-2005 2006-2010
1980-1985
1. H.A.M. Daniëls and A.C.D. van Enter:
Differentiability Properties of the Pressure in Lattice Systems,
Comm. Math.Phys., 71 , pp. 65--76, 1980
2. A.C.D. van Enter:
A Note on the Stability of Phase Diagrams in Lattice Systems,
Comm. Math. Phys , 79 , pp. 25--32, 1981
3. A.C.D. van Enter:
Instability of phase diagrams for a class of irrelevant perturbations,
Phys. Rev. B , 26 , pp. 1336--1339, 1982
4. A.C.D. van Enter:
On a Question of Bratteli and Robinson,
Lett. Math. Phys., 6 pp. 289--291, 1982
5. J.L. van Hemmen, A.C.D. van Enter and J. Canisius:
On a classical Spin-Glass Model,
Z. Phys. B , 50 , pp.311--336, 1983
6. A.C.D. van Enter and J.L. van Hemmen:
The thermodynamic limit for long range random systems,
J. Stat. Phys. , 32 , pp. 141--152, 1983
7. A.C.D. van Enter and R.B. Griffiths:
The order parameter in a spin glass,
Comm. Math. Phys. , 90 , pp. 319--327, 1983
8. A.C.D. van Enter and J.L. van Hemmen:
Statistical mechanical formalism for spin glasses,
Phys. Rev. A , 29 , pp. 355-365, 1984
9. A.C.D. van Enter and J.L. van Hemmen:
Spin canting and reentrance,
Phys. Rev. B , 31 , pp. 603--605, 1985
10. A.C.D. van Enter and J.L. van Hemmen:
Absence of phase transitions in certain one-dimensional long-range random systems,
J. Stat. Phys., 39 , pp. 1--13, 1985
11. A.C.D. van Enter and J. Fröhlich:
Absence of symmetry breaking for n-vector spin glass models in two dimensions,
Comm. Math. Phys., 98 , pp. 425--432, 1985
12. A.C.D. van Enter:
Bounds on correlation decay for long-range vector spin-glasses,
J. Stat. Phys., 41 , pp. 315--321, 1985
1986-1990
13. J.L. van Hemmen and A.C.D. van Enter:
Chopper model for pattern recognition,
Phys. Rev. A , 34 , pp. 2509--2512, 1986
14. M. Campanino, E. Olivieri and A.C.D. van Enter:
One-dimensional spin-glasses with decay 1/(1+ r^(1 + ε)),
Comm. Math. Phys., 108 , pp. 241--255, 1986
15. A.C.D. van Enter:
Upper bounds on correlation decay for one-dimensional long-range spin-glass models,
J. Stat. Phys., 47 , pp. 905--910, 1987
16. A.C.D. van Enter, J.L. van Hemmen and C. Pospiech:
Mean-field theory of random-site q-state Potts models,
J. Phys. A, Math. Gen., 21 , pp. 791--801, 1988
17. A.C.D. van Enter:
Proof of Straley's argument for bootstrap percolation,
J. Stat. Phys., 48 , pp. 943--945, 1987
18. A.C.D. van Enter:
One-dimensional spin-glasses, uniqueness and cluster properties,
J. Phys. A, Math. Gen., 21 , pp. 1781--1786, 1988
19. T.C.Dorlas and A.C.D. van Enter:
Non-Gibbsian limit for large-block majority spin transformations,
J. Stat. Phys., 55 , pp. 171--181, 1989
20. J. Adler, A.C.D. van Enter and A.B. Harris:
Transmission of order in a correlated spin-glass,
Phys. Rev. B , 38 , pp. 11405-11417, 1988
21. A. C. D. van Enter and R. Fernández:
A Remark on Different Norms and Analyticity for Many-Particle Interactions,
J. Stat. Phys., 56 , pp. 965--972, 1989
22. C. Gardner, J. Miekisz, C. Radin and A.C.D. van Enter:
Fractal symmetry in an Ising model,
J. Phys. A, Math. Gen., 22 , pp. L1019--1023, 1989
23. A.C.D. van Enter:
Stiffness exponent, number of pure states and Almeida-Thouless line in spin-glasses,
J. Stat. Phys., 60 , pp. 275--279, 1990
24. A.C.D. van Enter, J. Adler and J.A.M.S. Duarte:
Finite size effects for bootstrap percolation models,
J. Stat. Phys. , 60 , pp. 323-332, 1990 and
24a. Addendum; 62 , pp. 505--506, 1991
25. A.C.D. van Enter and J. Miekisz:
Breaking of periodicity at positive temperatures,
Comm. Math. Phys. , 134 , pp. 647--651, 1990
1991-1995
26. A.C.D. van Enter, R. Fernández and A. D. Sokal:
Renormalization Transformations in the Vicinity of First-Order Phase Transitions:
What Can and Cannot Go Wrong,
Phys. Rev. Lett., 66 , pp. 3253--3256, 1991
27. A.C.D. van Enter and J. Miekisz:
How should one define a (weak) crystal?
J. Stat. Phys. , 66 , pp. 647--653, 1992
28. A.C.D. van Enter, A. Hof and J. Miekisz:
Overlap distributions for deterministic systems with many ground states,
J. Phys. A, Math. Gen. , 25 , pp. L1133-1137, 1992
29. A.C.D. van Enter, R. Fernández and A. D. Sokal:
Regularity Properties and Pathologies of Position-Space Renormalization-Group
Transformations: Scope and Limitations of Gibbsian Theory,
J.Stat.Phys. , 72 , pp. 879--1167,1993
30. A.C.D.van Enter, R. Fernández and R. Kotecký:
Pathological Behavior of renormalization-group maps at high fields and above the transition
temperature, J. Stat. Phys. , 79 , pp. 969--991, 1995
31. M. Campanino and A.C.D. van Enter:
Weak versus strong uniqueness of Gibbs measures: a regular short-range example,
J. Phys. A, Math. Gen. , 28 , pp. L45--47, 1995
32. A.C.D. van Enter and B. Zegarlinski:
A remark on differentiability of the pressure functional,
Rev. Math. Phys. , 7 , pp. 959--977, 1995
1996-2000
33. A.C.D. van Enter:
Ill-defined block-spin transformations at arbitrarily high temperatures,
J. Stat. Phys. , 83 , pp. 761--765, 1996
34. A.C.D. van Enter and J. Lörinczi:
Robustness of the non-Gibbsian property: some examples,
J. Phys. A, Math. Gen. , 29 , pp. 2465--2473, 1996
35. A.C.D. van Enter and B. Zegarlinski:
Non-periodic long-range order for one-dimensional pair interactions,
J. Phys. A, Math. Gen. , 30 , pp.501--505, 1997
36. A.C.D. van Enter, R. Fernández, R.H. Schonmann and S.B. Shlosman:
Complete Analyticity for the 2d Potts model above the critical temperature,
Comm. Math. Phys. , 189 pp.373--393, 1997
37. A.C.D. van Enter, J. Miekisz and M. Zahradník:
Non-periodic long-range order for fast decaying interactions at positive temperatures,
J. Stat. Phys., 90 pp. 1441--1447, 1998
38. A.C.D. van Enter and S.B. Shlosman:
(Almost) Gibbsian description of the sign fields of SOS fields,
J. Stat. Phys., 92 pp. 353--368, 1998
39. H. Moriya and A.C.D. van Enter:
On thermodynamic limits of entropy densities,
Lett. Math. Phys. , 45 pp.323--330, 1998
40. A. Bovier, A.C.D. van Enter and B. Niederhauser:
Stochastic symmetry-breaking in a Gaussian Hopfield model,
J. Stat. Phys. , 95 pp. 181--213, 1999
41. A.C.D. van Enter and R. Fernández:
Problems with the definition of momentum-space renormalization transformations,
Phys. Rev. E , 59 pp. 5165--5171, 1999
42. A.C.D. van Enter, C. Maes, R.H. Schonmann and S.B. Shlosman:
The Griffiths singularity random field,
On Dobrushin's way. From probability theory to statistical mechanics. Dobrushin memorial volume,
temperature; American Mathematical Society , 51--58, 2000
43. A.C.D. van Enter, C Maes and S.B. Shlosman:
Dobrushin's program on Gibbsianity restoration: Weakly Gibbsian and Almost Gibbsian
random fields, On Dobrushin's way. From probability theory to statistical mechanics. Dobrushin
memorial volume, American Mathematical Society , 59--70, 2000
44. A.C.D. van Enter:
A remark on the notion of robust phase transitions,
J. Stat. Phys. , 98 pp.1409--1417, 2000
45. A.C.D. van Enter, C. Külske and C. Maes:
Comment on ``Critical behavior of the randomly spin diluted 2D Ising model,
A grand ensemble approach'',
Phys. Rev. Lett. , 84 , 6134, 2000
2001-2005
46. A.C.D. van Enter, R. Fernández, W. Th. F. den Hollander and F. Redig:
Possible loss and recovery of Gibbsianness during the stochastic evolution of
Gibbs measures,
Comm. Math. Phys. , 226 , 101--130, 2002
47. A.C.D. van Enter, I. Medved and K. Netocny:
Chaotic Size dependence in the Ising Model with Random Boundary Conditions,
Markov Proc.Rel.Fields , 8 , 479--508, 2002
48. A.C.D. van Enter and H.G. Schaap:
Infinitely many states and stochastic symmetry breaking in a Gaussian Potts-Hopfield model,
J. Phys. A, Math. Gen. , 35 , 2581--2592, 2002
49. A.C.D. van Enter and S.B. Shlosman:
First-order transitions for n-vector models in two and more dimensions; rigorous proof,
Phys. Rev. Lett. , 28 , 285702, 2002
50. A.C.D. van Enter and S.B. Shlosman:
Provable first-order transitions for nonlinear vector and gauge models with continuous
symmetries , Comm. Math.Phys. , 255 , 21-32,2005
51. A.C.D.van Enter and E.A. Verbitskiy:
On the Variational Principle for Generalized Gibbs Measures,
Markov Proc.Rel.Fields , 10 , 411--434, 2004
52. A.C.D. van Enter, K. Netocný and H.G.Schaap:
On the Ising model with random boundary condition,
J.Stat.Phys. , 118 , 997--1056, 2005
2006-2010
53. A.C.D. van Enter and S.B. Shlosman:
First-order transitions for very nonlinear sigma models,
Markov Proc.Rel.Fields, 13/2 , 239--219, 2007
54. A.C.D. van Enter and C. Külske:
Two connections between random systems and non-Gibbsian measures,
J.Stat. Phys. , 126 , 1007--1024, 2007
55. A.C.D.van Enter, S.Romano and V.A.Zagrebnov:
First-order transitions for some generalized XY models,
J.Phys. A, , 39 L439--445, 2006
56. A.C.D. van Enter and W.M.Ruszel:
Chaotic temperature dependence at zero temperature,
J. Stat. Phys. , 127 , 567--573, 2007
57. A.C.D. van Enter and C. Külske:
Nonexistence of random gradient Gibbs measures in continuous interface models in d=2,
Ann. Appl. Prob. , 18/1 , 109--119, 2008
58. A.C.D. van Enter and T. Hulshof:
Finite-size effects for anisotropic bootstrap percolation: logarithmic corrections,
J. Stat. Phys. , 128 , 1383--1389, 2007
59. A.C.D. van Enter and W.M. Ruszel:
Gibbsianness versus Non-Gibbsianness of time-evolved planar rotor models,
Stoch. Proc. Appl. , 119 , 1866-1888, 2009
60. A.C.D. van Enter, F.Redig and E. Verbitskiy:
Gibbsian and Non-Gibbsian states at Eurandom,
Stat. Neerl. , 62, 331--344, 2008
61. A.C.D. van Enter and W.M. Ruszel:
Loss and recovery of gibbsianness for xy spins in a small external field ,
J. Math. Phys. , 49, 125208-125208-8 ,2008
62. A.C.D. van Enter, C.K�lske, A. A. Opoku and W.M. Ruszel:
Gibbs-non-Gibbs properties for n-vector lattice and mean-field models
Braz. J. Prob. Stat., special Proceedings volume of XII Brazilian school of Probability,
Vol. 24, 226-255 ,2010.
63. A.C.D. van Enter and E. Verbitskiy
Erasure entropies and Gibbs measures
Markov Proc.Rel. Fields , 16, 3-15, 2010.
64. A.C.D. van Enter, R. Fernández, W. Th. F. den Hollander and F. Redig:
A large-deviation view of dynamical Gibbs-non-Gibbs transitions
arXiv 10050147, 2010, Moscow Math.J. to appear.
65. A.C.D. van Enter, V.Ermolaev, G. Iacobelli and C. K�lske:
Gibbs-non-Gibbs properties for evolving Ising models on trees.
arXiv 10092952, 2010.
1. H.A.M. Daniëls and A.C.D. van Enter:
On the lack of Fréchet differentiability in more phase regions;
Springer Lecture Notes in Physics 116 , Mathematical Problems in Theoretical Physics
(Lausanne 1979), pp. 160--161, 1980
2. H.A.M. Daniëls and A.C.D. van Enter:
On Ruelle's heuristic theory of phase transitions;
Proceedings 1979 Brasov summer school , pp. 596--606, 1980
3. A.C.D. van Enter:
Some results on spin glass models;
Proceedings 1984 les Houches summer school on Critical Phenomena, Random systems and
Gauge Theory , Vol. II, pp. 1145--1154, K. Osterwalder and R. Stora, editors; North Holland,
Amsterdam, 1986
4. A.C.D. van Enter:
Effective decay in long-range spin-glasses;
Proceedings 1985 Groningen meeting on Statistical Mechanics and Field Theory: Mathematical
Aspects , pp.75--88, T.C. Dorlas, N.M.Hugenholtz and M. Winnink, editors;
Springer Lecture Notes in Physics , 257 , 1986
5. A.C.D. van Enter:
Non-periodic Ground and Gibbs States;
Proceedings Asian Mathematical Conference 1990 (Hong Kong), pp.132--134, Li Zhong,
K.P. Shum, C.C. Yang and Yang Le, editors; World Scientific, Singapore, 1992
6. A.C.D. van Enter, R. Fernández and A.D. Sokal:
Regularity Properties and Pathologies of Position-Space Renormalization-Group
Transformations; Nucl. Phys. B (Proc.Suppl.) , 20 (Lattice 90), pp. 48--52, 1991
7. A.C.D. van Enter, R. Fernández and A.D. Sokal:
On-Gibbsian States;
Proceedings of the 1992 Prague Workshop on Phase Transitions;Mathematics, Physics,
Biology,...; pp.77--84, R. Kotecký, editor; World Scientific, Singapore, 1993
8. A.C.D. van Enter, R. Fernández and A.D. Sokal:
Non-Gibbsian States for Renormalization-Group Transformations and Beyond;
Proceedings of the NATO Advanced Studies Institute workshop on Cellular Automata and
Cooperative Systems [Les Houches 1992]; pp.141--152, N. Boccara,
E. Goles, S. Martinez and P. Picco, editors; Kluwer, Dordrecht, 1993
9. A.C.D. van Enter, R. Fernández and A.D. Sokal:
Renormalization Transformations: Source of Examples and Problems in Probability and
Statistics; Resenhas do IME-USP , Invasion percolation
on regular trees 2 , pp. 233--262, 1994
10. A.C.D. van Enter, R. Fernández and A.D. Sokal:
Gibbsian versus non-Gibbsian measures: some results and some questions in
renormalization group theory and stochastic dynamics;
On three levels , Proceedings of the 1993 Leuven advanced research workshop, pp. 155--160,
M. Fannes, C. Maes and A. Verbeure, editors; NATO ASI Series B 324, Plenum, 1994
11. A.C.D. van Enter:
On the set of pure states for some systems with non-periodic long-range order;
mp-arc 96-93 , Proceedings Volume 8th Born Symposion, Kudowa-Zdrój, 1995, Physica A , 232 ,
pp. 600--607, 1996
12. A.C.D. van Enter:
On the possible failure of the Gibbs property for measures on lattice systems;
mp-arc 96-92, Proceedings Volume Budapest meeting on Disordered systems and statistical physics: rigorous
results ,1995, Markov Processes and Related Fields , pp. 209--225, 1996
13. A.C.D. van Enter:
The renormalization-group peculiarities of Griffiths and Pearce: What have we learned?
mp-arc 96-692, Proceedings 1998 Marseille IUPAP-Statphys satellite Colloquium on Mathematical Results in
Statistical Mechanics , Eds. S. Miracle-Solé, J. Ruiz and V. Zagrebnov, pp. 509--526.
World Scientific, 1999
14. A.C.D. van Enter, K. Netocný and H.G.Schaap:
Incoherent boundary conditions and metastates.
mp-arc 05-57, arXiv math-phys / 0502031, 2005. Dynamics and Stochastics,
Keane Festschrift, Eds. D.Denteneer, F. den Hollander and
E.Verbitskiy,pp.144--153. Institute of Mathematical Statistics Lecture Notes, 2006
15. A.C.D.van Enter:
Renormalization Group, Non-Gibbsian states, their relationship and further developments.
RIMS Lecture Notes 1483: Applications of Renormalization Group Methods in the
Mathematical Sciences, pp.49--64, 2006
16. A.C.D.van Enter:
Griffiths Singularities.
Modern Encyclopedia of Mathematical Physics, Springer, to appear, 2007
17. A.C.D.van Enter:
Non-Gibbsian States.
Modern Encyclopedia of Mathematical Physics, Springer, to appear, 2007
popular
nederlands tijdschrift voor natuurkunde
1. Renormalisatie in de statistische mechanica Vol. 64, 135, 1998
2. Ken Uw Klassieken: Peierls Vol. 68, 26 , 2002
3. Various book reviews, editorials, columns etc.
Wetenschappelijke scheurkalender Natuur en Techniek 2003; thermodynamica-week
Nieuw Archief voor Wiskunde, 5/4 107--108, 2003:
Laudatio Michael Aizenman (with F. den Hollander)