Omri Sarig

Department of Mathematics

Penn State University

University Park, PA 16802

U.S.A

Email: sarig@math.psu.edu

Office: 222 McAllister

Phone: +1 814 863 9678

Fax: +1 814 865 3735

I am an associate professor in the Department of Mathematics of the Pennsylvania State University. My main interests are Probability, Ergodic Theory and Dynamical Systems. Here is a program of our weekly dynamics seminar. Other links: Ha'aretz, BBC, NY Times, Tex, Google, Weather, and MathSciNet.

Papers

Thermodynamic Formalism for Countable Markov shifts. Erg. Th. Dyn. Sys. 19, 1565-1593 (1999)
On an example with topological pressure which is not analytic . C.R. Acad. Sci. Serie I: Math. 330, 311-315 (2000)
Thermodynamic Formalism for Null Recurrent Potentials. Israel J. Math. 121, 285-311 (2001)
Phase Transitions for Countable Topological Markov Shifts. Commun. Math. Phys. 217, 555-577 (2001)
Invariant measures and asymptotics for some skew products. with J. Aaronson, H. Nakada , O. Sarig, R. Solomyak . Israel J. Math. 128, 93-134 (2002). See Corrections.
Tail-invariant measures for some suspension semiflows. with J. Aaronson and R. Solomyak. Discr. and Contin. Dyn. Sys. 8 (no. 3), 725-735 (2002)
Subexponential decay of correlations. Invent. Math. 150, 629-653 (2002)
Characterization of existence of Gibbs measures for Countable Markov shifts. Proc. of AMS. 131 (no. 6), 1751-1758 (2003)
Uniqueness of equilibrium measures for countable Markov shifts and multi-dimensional piecewise expanding maps. with J. Buzzi Erg. Thy. Dynam. Sys. 23, 1383-1400 (2003)
Invariant Radon measures for horocycle flows on Abelian covers. Invent. Math. 157, 519-551 (2004).
Aperiodicity of cocycles and conditional local limit theorems. with Jon Aaronson, Manfred Denker and Roland Zweimueller. Stoch. & Dynam. 4 no. 1, 31--62 (2004).
Dynamical Zeta functions for the Renewal shift. in Dynamics of Complex Systems, RIMS Kokyuroku 1404 (2004) 98-104.
Exchangeable measures for subshifts. with J. Aaronson and H. Nakada. Ann. Inst. H. Poincare Probab. Stat. 42, 727-751 (2006)
Invariant measures for the horocycle flow on periodic hyperbolic surfaces with F. Ledrappier Electron. Res. Announc. Amer. Math. Soc. 11 (2005), 89-94.
Unique ergodicity for non-uniquely ergodic horocycle flows. with F. Ledrappier Disc. Cont. Dynam. Syst. 16, 411-433 (2006) (Katok Birthday Issue)
Critical exponents for dynamical systems . Commun. Math. Phys. 267, 631-667 (2006). Errata
Invariant measures for the horocycle flow on periodic hyperbolic surfaces. with F. Ledrappier. Israel J. Math. 160, 281-317 (2007).
Fluctuations of ergodic sums for horocycle flows on Z^d covers of finite volume surfaces with F. Ledrappier Disc. Cont. Dynam. Syst. 22, 247 - 325 (2008) (Pesin Birthday Issue).
The Generic Points for the Horocycle Flow on a Class of Hyperbolic Surfaces with Infinite Genus with B. Schapira, IMRN 2008 Art. ID rnn 086, 37 pp.
The horocycle flow and the Laplacian on hyperbolic surfaces of infinite genus. To appear in GAFA
Spectral gap and transience for Ruelle operators on countable Markov shifts with Van Cyr. To appear in CMP

Omri Sarig

Papers

Spring 2009 courses: Thermodynamic Formalism