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New criteria for hyperbolicity based on periodic sets
(2011)
We prove some criteria for uniform hyperbolicity based on the periodic points of the transformation. More precisely, if a mild hyperbolicity condition holds for the periodic points of any diffeomorphism in a residual subset ...
Stochastic perturbations of convex billiards
(IOP Publishing, 2015-11)
We consider a strictly convex billiard table with C 2 boundary, with the dynamics subjected to random perturbations. Each time the billiard ball hits the boundary its reflection angle has a random perturbation. The ...
Random walks with unbounded jumps among random conductances I: Uniform quenched CLT
(Univ Washington, Dept MathematicsSeattleEUA, 2012)
Unique Ergodicity of Deterministic Zero-Sum Differential Games.
We study the ergodicity of deterministic two-person zero-sum differential games. This property is defined by the uniform convergence to a constant of either the infinite-horizon discounted value as the discount factor tends ...
Characterizing asymptotic randomization in abelian cellular automata
(Cambridge University Press, 2020)
Abelian cellular automata (CAs) are CAs which are group endomorphisms of the full group shift when endowing the alphabet with an abelian group structure. A CA randomizes an initial probability measure if its iterated images ...
Escape patterns of chaotic magnetic field lines in a tokamak with reversed magnetic shear and an ergodic limiter
(AMER INST PHYSICS, 2008)
The existence of a reversed magnetic shear in tokamaks improves the plasma confinement through the formation of internal transport barriers that reduce radial particle and heat transport. However, the transport poloidal ...
Averaging Along Foliated Levy Diffusions
(PERGAMON-ELSEVIER SCIENCE LTDOXFORD, 2015)
Ballistic regime for random walks in random environment with unbounded jumps and Knudsen billiards
(Inst Mathematical StatisticsClevelandEUA, 2012)