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Turing Instability in a Model with Two Interacting Ising Lines: Non-equilibrium Fluctuations
(Springer, 2019-01)
This is the second of two articles on the study of a particle system model that exhibits a Turing instability type effect. About the hydrodynamic equations obtained in Capanna and Soprano (Markov Proc Relat Fields ...
Equilibrium states for non-uniformly hyperbolic systems: Statistical properties and analyticity
(2021-09-01)
We consider a wide family of non-uniformly expanding maps and hyperbolic Hölder continuous potentials. We prove that the unique equilibrium state associated to each element of this family is given by the eigenfunction of ...
Thermodynamic potentails for non-equilibrium systems
(2001)
The notion of non-equilibrium potential for systems far from equilibrium is reviewed and the relation to the reversed process is examined. The potential is constructed in the neighborhood of the homogeneous attractors for ...
Approach to Equilibrium for a Class of Random Quantum Models of Infinite Range
(SPRINGER, 2010)
We consider random generalizations of a quantum model of infinite range introduced by Emch and Radin. The generalizations allow a neat extension from the class l (1) of absolutely summable lattice potentials to the optimal ...
Stackelberg security games: Computing the shortest-path equilibrium
(ELSEVIER, 2015-01-17)
In this paper we consider a game theory approach for representing a real-world attacker–defender Stackelberg security game. In this novel approach the behavior of an ergodic system (repeated stochastic Markov chain game) ...
Thermodynamic potentials for non-equilibrium systems
(PERGAMON-ELSEVIER SCIENCE LTD,, 2001)
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 ...
Correlation Decay and Recurrence Asymptotics for Some Robust Nonuniformly Hyperbolic Maps
(2008)
We study a robust class of multidimensional non-uniformly hyperbolic transformations
considered by Oliveira and Viana (Ergod. Theory Dyn. Syst. 28:501–533, 2008).
For an open class of Hölder continuous potentials with small ...