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math.DS2010
A local ergodic theorem for non-uniformly hyperbolic symplectic maps with singularities
Gianluigi Del Magno, Roberto Markarian
In this paper, we prove a criterion for the local ergodicity of non-uniformly hyperbolic symplectic maps with singularities. Our result is an extension of a theorem of Liverani and…
math.DS2010
Limit Sets of Convex non Elastic Billiards
Roberto Markarian, Sylvie Oliffson Kamphorst, Sonia Pinto-de-Carvalho
Inspired by the work of Pujals and Sambarino on dominated splitting, we present billiards with a modified reflection law which constitute simple examples of dynamical systems with…