Sensitive Dependence of Gibbs Measures at Low Temperatures
| dc.contributor.author | Coronel, Daniel | |
| dc.contributor.author | Rivera-Letelier, Juan | |
| dc.date.accessioned | 2023-03-13T14:30:24Z | |
| dc.date.available | 2023-03-13T14:30:24Z | |
| dc.date.issued | 2015-09 | |
| dc.description | Indexación: Scopus | es |
| dc.description.abstract | The Gibbs measures of an interaction can behave chaotically as the temperature drops to zero. We observe that for some classical lattice systems there are interactions exhibiting a related phenomenon of sensitive dependence of Gibbs measures: An arbitrarily small perturbation of the interaction can produce significant changes in the low-temperature behavior of its Gibbs measures. For some one-dimensional XY models we exhibit sensitive dependence of Gibbs measures for a (nearest-neighbor) interaction given by a smooth function, and for perturbations that are small in the smooth category. We also exhibit sensitive dependence of Gibbs measures for an interaction on a classical lattice system with finite-state space. This interaction decreases exponentially as a function of the distance between sites; it is given by a Lipschitz continuous potential in the configuration space. The perturbations are small in the Lipschitz topology. As a by-product we solve some problems stated by Chazottes and Hochman. © 2015, Springer Science+Business Media New York. | es |
| dc.description.uri | https://link-springer-com.recursosbiblioteca.unab.cl/article/10.1007/s10955-015-1288-8 | |
| dc.identifier.doi | 10.1007/s10955-015-1288-8 | |
| dc.identifier.issn | 0022-4715 | |
| dc.identifier.uri | https://repositorio.unab.cl/xmlui/handle/ria/47489 | |
| dc.language.iso | en | es |
| dc.publisher | Springer New York LLC | es |
| dc.rights.license | Atribución 4.0 Internacional (CC BY 4.0) | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/deed.es | |
| dc.subject | Hamiltonian | es |
| dc.subject | Stochastic Homogenization | es |
| dc.subject | Arnold Diffusion | es |
| dc.title | Sensitive Dependence of Gibbs Measures at Low Temperatures | es |
| dc.type | Artículo | es |
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- Journal of Statistical Physics Volume 160, Issue 6, Pages 1658 - 168314 September 2015
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