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Weak Gibbs Measures As Gibbs Measures For Asymptotically Additive Sequences
(2017)
In this note we prove that every weak Gibbs measure for an asymptotically additive sequence is a Gibbs measure for another asymptotically additive sequence. In particular, a weak Gibbs measure for a continuous potential ...
Variational Description of Gibbs-Non-Gibbs Dynamical Transitions for Spin-Flip Systems with a Kac-Type Interaction
(Springer, 2014-07)
We continue our study of Gibbs-non-Gibbs dynamical transitions. In the present paper we consider a system of Ising spins on a large discrete torus with a Kac-type interaction subject to an independent spin-flip dynamics ...
Non-lacunary Gibbs Measures for Certain Fractal Repellers
(Springer, 2009-09-01)
In this paper, we study non-uniformly expanding repellers constructed as the limit sets for a non-uniformly expanding dynamical systems. We prove that given a Holder continuous potential phi satisfying a summability ...
Non-lacunary Gibbs Measures for Certain Fractal Repellers
(Springer, 2009-09-01)
In this paper, we study non-uniformly expanding repellers constructed as the limit sets for a non-uniformly expanding dynamical systems. We prove that given a Holder continuous potential phi satisfying a summability ...
Non-uniform Specification and Large Deviations for Weak Gibbs Measures
(2012)
We establish bounds for the measure of deviation sets associated to continuous observables with respect to not necessarily invariant weak Gibbs measures. Under some mild assumptions, we obtain upper and lower bounds for ...
Non-lacunary Gibbs Measures for Certain Fractal Repellers
(Springer, 2014)