Zobrazeno 1 - 10
of 81
pro vyhledávání: '"Sarig, Omri"'
Given a continuous linear cocycle $\mathcal{A}$ over a homeomorphism $f$ of a compact metric space $X$, we investigate its set $\mathcal{R}$ of Lyapunov-Perron regular points, that is, the collection of trajectories of $f$ that obey the conclusions o
Externí odkaz:
http://arxiv.org/abs/2409.01798
Recently, Burguet proved a strong form of Viana's conjecture on physical measures, in the special case of $C^\infty$ surface diffeomorphisms. We give another proof, based on our analysis of entropy and Lyapunov exponents in [BCS].
Externí odkaz:
http://arxiv.org/abs/2201.03165
Autor:
Rühr, René, Sarig, Omri
For strongly positively recurrent countable state Markov shifts, we bound the distance between an invariant measure and the measure of maximal entropy in terms of the difference of their entropies. This extends an earlier result for subshifts of fini
Externí odkaz:
http://arxiv.org/abs/2112.01186
We study the entropy and Lyapunov exponents of invariant measures $\mu$ for smooth surface diffeomorphisms $f$, as functions of $(f,\mu)$. The main result is an inequality relating the discontinuities of these functions. One consequence is that for a
Externí odkaz:
http://arxiv.org/abs/2103.02400
We show that $C^\infty$ surface diffeomorphisms with positive topological entropy have at most finitely many ergodic measures of maximal entropy in general, and at most one in the topologically transitive case. This answers a question of Newhouse, wh
Externí odkaz:
http://arxiv.org/abs/1811.02240
Autor:
Dolgopyat, Dmitry, Sarig, Omri
Bromberg and Ulcigrai constructed piecewise smooth functions f on the torus such that the set of angles alpha for which the Birkhoff sums of f with respect to the irrational translation by alpha satisfies a temporal distributional limit theorem along
Externí odkaz:
http://arxiv.org/abs/1803.05157
Publikováno v:
Comment. Math. Helv. 91 (2016), no. 1, 65-106
Let $\{T^t\}$ be a smooth flow with positive speed and positive topological entropy on a compact smooth three dimensional manifold, and let $\mu$ be an ergodic measure of maximal entropy. We show that either $\{T^t\}$ is Bernoulli, or $\{T^t\}$ is is
Externí odkaz:
http://arxiv.org/abs/1504.00048
Autor:
Lima, Yuri, Sarig, Omri
Publikováno v:
J. Eur. Math. Soc. 21 (2019), no. 1, 199-256
We construct symbolic dynamics on sets of full measure (w.r.t. an ergodic measure of positive entropy) for $C^{1+\epsilon}$ flows on compact smooth three-dimensional manifolds. One consequence is that the geodesic flow on the unit tangent bundle of a
Externí odkaz:
http://arxiv.org/abs/1408.3427
Autor:
Aaronson, Jon, Sarig, Omri
Publikováno v:
Ergod. Th. Dynam. Sys. 34 (2014) 705-724
We prove distributional limit theorems for random walk adic transformations obtaining ergodic distributional limits of exponential chi squared form.
Comment: Keywords: Infinite ergodic theory, distributional convergence, random walk adic transfo
Comment: Keywords: Infinite ergodic theory, distributional convergence, random walk adic transfo
Externí odkaz:
http://arxiv.org/abs/1202.4485
Autor:
Sarig, Omri
Suppose f is a $C^{1+\alpha}$ surface diffeomorphism, and m is an equilibrium measure of a Holder continuous potential. We show that if m has positive metric entropy, then f is measure theoretically isomorphic to the product of a Bernoulli scheme and
Externí odkaz:
http://arxiv.org/abs/1107.3711