Coronel, DanielRivera-Letelier, Juan2023-03-132023-03-132015-090022-4715https://repositorio.unab.cl/xmlui/handle/ria/47489Indexación: ScopusThe 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.enHamiltonianStochastic HomogenizationArnold DiffusionSensitive Dependence of Gibbs Measures at Low TemperaturesArtículoAtribución 4.0 Internacional (CC BY 4.0)10.1007/s10955-015-1288-8