Výsledky vyhledávání - "Ramos,Vanessa"

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Uniqueness and Stability of Equilibrium States for Random Non-uniformly Expanding Maps

We consider a robust class of random non-uniformly expanding local homeomorphisms and H\"older continuous potentials with small variation. For each element of this class we develop the Thermodynamical Formalism and prove the existence and uniqueness

Externí odkaz: http://arxiv.org/abs/2007.11076

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Equilibrium states for non-uniformly hyperbolic systems: statistical properties and analyticity

Autor: Afonso, Suzete M., Siqueira, Jaqueline, Ramos, Vanessa

We consider a wide family of non-uniformly expanding maps and hyperbolic H\"older continuous potentials. We prove that the unique equilibrium state associated to each element of this family is given by the eigenfunction of the transfer operator and t

Externí odkaz: http://arxiv.org/abs/1908.00066

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Equilibrium stability for non-uniformly hyperbolic systems

Autor: Alves, Jose F., Ramos, Vanessa, Siqueira, Jaqueline

We prove that for a wide family of non-uniformly hyperbolic maps and hyperbolic potentials we have equilibrium stability, i.e. the equilibrium states depend continuously on the dynamics and the potential. For this we deduce that the topological press

Externí odkaz: http://arxiv.org/abs/1707.02458

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