53 citations · 114 across the 13 of their papers we have counts for
16 papers
Generic Points on the Staircase and Irregularities in Uniform Distribution
Dmitry Dolgopyat, Omri Sarig
We study the ergodic integrals for linear flows on the infinite staircase, a translation surface with infinite area, and deduce detailed information on the bias properties of local…
Strong positive recurrence and exponential mixing for diffeomorphisms
Jérôme Buzzi, Sylvain Crovisier, Omri Sarig
We introduce the strong positive recurrence (SPR) property for diffeomorphisms on closed manifolds with arbitrary dimension, and show that it has many consequences and holds in man…
Complete regularity of linear cocycles and the Baire category of the set of Lyapunov-Perron regular points
Jairo Bochi, Yakov Pesin, Omri Sarig
Given a continuous linear cocycle A over a homeomorphism f of a compact metric space X, we investigate its set R of Lyapunov-Perron regular points, that is, the collection of traje…
Another proof of Burguet's existence theorem for SRB measures of surface diffeomorphisms
Jérôme Buzzi, Sylvain Crovisier, Omri Sarig
Recently, Burguet proved a strong form of Viana's conjecture on physical measures, in the special case of surface diffeomorphisms. We give another proof, based on our an…
Effective intrinsic ergodicity for countable state Markov shifts
René Rühr, Omri Sarig
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…
Local limit theorems for inhomogeneous Markov chains
Dmitry Dolgopyat, Omri Sarig
We prove the Local Limit Theorems for bounded additive functionals of uniformly elliptic inhomogeneous Markov arrays. As an application we obtain the precise asymptotics in the lar…