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pro vyhledávání: '"Aernout C. D. van, Enter"'
We show how decimated Gibbs measures which have an unbroken continuous symmetry due to the Mermin-Wagner theorem, although their discrete equivalents have a phase transition, still can become non-Gibbsian. The mechanism rests on the occurrence of a s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3717f60f23eb4a9ba6cca27185dde937
https://hal.archives-ouvertes.fr/hal-03695701/document
https://hal.archives-ouvertes.fr/hal-03695701/document
Autor:
Aernout C. D. van Enter, Jacek Miekisz
Publikováno v:
Journal of Statistical Physics, 181(5), 1906-1914. SPRINGER
We discuss what ground states for generic interactions look like. We note that a recent result, due to Morris, implies that the behaviour of ground-state measures for generic interactions is similar to that of generic measures. In particular, it foll
Autor:
Christof, Külske, Aernout C. D. van, Enter, Louis-Pierre, Arguin, Roberto, Persechino, Erwin, Bolthausen, Jiri, Cerny, Gayrard-Troy, Véronique, Lisa, Hartung, Francesco, Guerra, Goetz, Kersting, Nicola, Kistler, Adrien, Schertzer, Marius A., Schmidt, Lily Z., Wang, Reza, Gheissari, Charles M., Newman, Daniel L., Stein, Pietro, Caputo, Dmitry, Ioffe, Vitali, Wachtel, Alessandra, Faggionato, Gayrard, Véronique
Publikováno v:
Véronique Gayrard, Louis-Pierre Arguin, Nicola Kistler, Irina Kourkova. Springer Nature, https://link.springer.com/book/10.1007/978-3-030-29077-1 (293), 2019, Springer Proceedings in Mathematics & Statistics, ⟨10.1007/978-3-030-29077-1⟩
International audience
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::1642d0505779b3baf49406ed33dc6750
https://hal.science/hal-02379251
https://hal.science/hal-02379251
Publikováno v:
Journal of Statistical Physics, 178(3), 832-844. SPRINGER
We construct for the first time examples of non-frustrated, two-body, infinite-range, one-dimensional classical lattice-gas models without periodic ground-state configurations. Ground-state configurations of our models are Sturmian sequences defined
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d54a6685919110fb57177412b29ee4c4
Publikováno v:
Annales Henri Poincaré, 19(8), 2557-2574. Springer International Publishing AG
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
We consider ferromagnetic long-range Ising models which display phase transitions. They are long-range one-dimensional Ising ferromagnets, in which the interaction is given by $J_{x,y} = J(|x-y|)\equiv \frac{1}{|x-y|^{2-\alpha}}$ with $\alpha \in [0,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6a1e50dc735325db40283d56407b9f36
https://research.rug.nl/en/publications/b6b49ba2-1116-4234-80ba-49b164417f48
https://research.rug.nl/en/publications/b6b49ba2-1116-4234-80ba-49b164417f48
Publikováno v:
Journal of Statistical Physics
Journal of Statistical Physics, Springer Verlag, 2018, ⟨10.1007/s10955-018-2097-7⟩
IF_PREPUB. 11 pages. 2018
Journal of Statistical Physics, 172
Journal of Statistical Physics, 172(5), 1210. Springer New York
Journal of Statistical Physics, 172(5), 1210-1222. SPRINGER
Journal of Statistical Physics, Springer Verlag, 2018, ⟨10.1007/s10955-018-2097-7⟩
IF_PREPUB. 11 pages. 2018
Journal of Statistical Physics, 172
Journal of Statistical Physics, 172(5), 1210. Springer New York
Journal of Statistical Physics, 172(5), 1210-1222. SPRINGER
We consider the two-dimensional Ising model with long-range pair interactions of the form $J_{xy}\sim|x-y|^{-\alpha}$ with $\alpha>2$, mostly when $J_{xy} \geq 0$. We show that Dobrushin states (i.e. extremal non-translation-invariant Gibbs states se
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b6e0be4483c24343a930825e7d31bbc4
https://hal.archives-ouvertes.fr/hal-01810117
https://hal.archives-ouvertes.fr/hal-01810117
Publikováno v:
Stochastic processes and their applications, 127(12), 4126-4138. ELSEVIER SCIENCE BV
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
We consider the ferromagnetic Ising model with spatially dependent external fields on a Cayley tree, and we investigate the conditions for the existence of the phase transition for a class of external fields, asymptotically approaching a homogeneous
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dc80e9dbdceb5ba8e72fd260d28b25ee
https://research.rug.nl/en/publications/4270d07b-fd94-4d3d-a470-332642d15224
https://research.rug.nl/en/publications/4270d07b-fd94-4d3d-a470-332642d15224
Autor:
Aernout C. D. van Enter, Arnaud Le Ny
Publikováno v:
Stochastic processes and their applications, 127(11), 3776-3791. ELSEVIER SCIENCE BV
We study the decimation to a sublattice of half the sites of the one-dimensional Dyson–Ising ferromagnet with slowly decaying long-range pair potentials of the form 1 | i − j | α , deep in the phase transition region ( 1 α ≤ 2 and low tempera
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c44d00123d6bdc8439adc081dd91ce30
https://research.rug.nl/en/publications/e8b1ef7a-bed6-47d8-9cc7-0a93835c71e8
https://research.rug.nl/en/publications/e8b1ef7a-bed6-47d8-9cc7-0a93835c71e8
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Communications in Mathematical Physics, 363(3), 767-788. Nature Publishing Group
Universidade de São Paulo (USP)
instacron:USP
Communications in Mathematical Physics, 363(3), 767-788. Nature Publishing Group
We consider Dyson models, Ising models with slow polynomial decay, at low temperature and show that its Gibbs measures deep in the phase transition region are not $g$-measures. The main ingredient in the proof is the occurrence of an entropic repulsi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e2750fbf1b7adb3dc972a906b12a7a72
http://arxiv.org/abs/1705.03156
http://arxiv.org/abs/1705.03156
Publikováno v:
Ann. Probab. 44, no. 2 (2016), 1599
We provide an Erratum, correcting how our main result generalises and correct some steps in the proof.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::32a2fcae2124c99771eafcd52e47d3cf
http://projecteuclid.org/euclid.aop/1457960402
http://projecteuclid.org/euclid.aop/1457960402