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
To appear in Disc. Cts Dynam. Syst. (Pesin Birthday Issue)
Preprints:
The Generic Points for the Horocycle Flow on a Class of Hyperbolic Surfaces with Infinite Genus
with
B. Schapira
The horocycle flow and the Laplacian on hyperbolic surfaces of infinite genus
Spring 2008 courses:
231H Honors Calculus of Several Variables
Steve Kalikow's book
'Ergodic Theory'
