Omri Sarig

עמרי שריג

Email: omsariggmail dot com

Phone: 972 (0)8 934 4305

Fax: 972 (0)8 934 4308

Faculty of Mathematics and Computer Sciences

The Weizmann Institute for Science

POB 26, Rehovot 76100, Israel

הפקולטה למתימטיקה ומדעי המחשב

מכון וייצמן למדע

ת.ד. 26  , רחובות 76100

Workshop on infinite ergodic theory and related fields

Weizmann Institute, June 27 to July 1, 2010

I am an associate professor in the Department of Mathematics of the Weizmann Institute of Science. For my Penn State webpage go here.  My main interests are Probability, Ergodic Theory and Dynamical Systems. 

Some links: Ha'aretz, BBC, NY Times, Tex, Google, Rakevet, 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 , and 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.  CMP, 30 pages,  DOI 10.1007/s00220-009-0891-4

Winter 09 Course: Ergodic Theory    תורה ארגודית