A local ergodic theorem for non-uniformly hyperbolic symplectic maps with singularities

Gianluigi Del Magno, Roberto Markarian

Type: Article

Publication Date: 2012-07-09

Citations: 4

DOI: https://doi.org/10.1017/s0143385712000284

Abstract

Abstract 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 Wojtkowski.

Locations

Ergodic Theory and Dynamical Systems - View
arXiv (Cornell University) - View - PDF

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+	Bernoulli Property for Some Hyperbolic Billiards	2020	Rodrigo M.D. Andrade
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Works Cited by This (19)

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+	On absolutely focusing mirrors	1992	Leonid Bunimovich
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+ PDF Chat	Principles for the design of billiards with nonvanishing Lyapunov exponents	1986	Maciej P. Wojtkowski
+ PDF Chat	A “Transversal” Fundamental Theorem for semi-dispersing billiards	1990	András Krámli Nándor Simányi D. Szász
+ PDF Chat	Using integrability to produce chaos: Billiards with positive entropy	1991	Victor J. Donnay
+	On the Bernoulli nature of systems with some hyperbolic structure	1998	Donald Ornstein Benjamin Weiss
+	CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY	1977	Ya. B. Pesin
+ PDF Chat	Invariant families of cones and Lyapunov exponents	1985	Maciej P. Wojtkowski
+ PDF Chat	Continuous invariant cone families and ergodicity of flows in dimension three	1989	Keith Burns Marlies Gerber
+	Ergodic properties of certain systems of two-dimensional discs and three-dimensional balls	1987	Yakov G. Sinai N. Chernov