Office: Ziskind 253 Phone: 972 (0)8 934 4305
Fax: 972 (0)8 934 4308

Faculty of Mathematics and Computer Sciences
The Weizmann Institute of Science
234 Herzl Street, Rehovot 7610001, Israel

הפקולטה למתימטיקה ומדעי המחשב
מכון וייצמן למדע
רחוב הרצל 234, רחובות 7610001


 On an example with topological pressure
which is not analytic . C.R. Acad. Sci. Serie I:
Math. 330, 311315 (2000)
 Thermodynamic Formalism for Null
Recurrent Potentials. Israel J. Math. 121, 285311 (2001)
 Phase Transitions for Countable
Topological Markov Shifts. Commun. Math. Phys. 217, 555577 (2001)
 Invariant measures and asymptotics for some
skew products. with J. Aaronson, H. Nakada
, and
R.
Solomyak . Israel J. Math. 128, 93134 (2002). See Corrections.
 Tailinvariant measures for some
suspension semiflows. with J. Aaronson
and R. Solomyak.
Discr. and Contin. Dyn. Sys. 8 (no. 3), 725735 (2002)
 Subexponential decay of correlations.
Invent. Math. 150, 629653 (2002)
 Characterization of existence of Gibbs
measures for Countable Markov shifts. Proc. of AMS. 131 (no. 6), 17511758 (2003)
 Uniqueness of equilibrium measures
for countable Markov shifts and
multidimensional piecewise expanding maps. with J. Buzzi
Erg. Thy. Dynam. Sys. 23, 13831400 (2003)
 Invariant Radon measures for horocycle flows on Abelian covers.
Invent. Math. 157, 519551 (2004).
 Aperiodicity of cocycles and conditional local limit theorems.
with Jon Aaronson,
Manfred Denker and Roland Zweimueller.
Stoch. & Dynam. 4 no. 1, 3162 (2004).
 Dynamical Zeta functions for the
Renewal shift. in Dynamics of Complex Systems, RIMS Kokyuroku 1404 (2004) 98104.
 Exchangeable measures for subshifts.
with J. Aaronson and H. Nakada.
Ann. Inst. H. Poincare Probab. Stat. 42, 727751 (2006)
 Invariant measures for the horocycle flow on periodic hyperbolic surfaces
with F. Ledrappier
Electron. Res. Announc. Amer. Math. Soc. 11 (2005), 8994.
 Unique ergodicity for nonuniquely ergodic horocycle flows.
with F. Ledrappier
Disc. Cont. Dynam. Syst. 16, 411433 (2006) (Katok Birthday Issue)
 Critical exponents for dynamical systems
. Commun. Math. Phys. 267, 631667 (2006). Errata
 Invariant measures for the horocycle
flow on periodic hyperbolic surfaces. with F. Ledrappier. Israel J. Math. 160, 281317 (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.
 Spectral gap and transience for Ruelle operators on countable Markov shifts
with Van Cyr. Commun.
Math. Phys. 292, 637666 (2009)
 The horocycle flow and the Laplacian on hyperbolic surfaces of infinite genus.
Geom. Funct.
Anal. 19 17571812 (2010)
 Unique ergodicity for infinite measures. Proc. Inter. Congress Math., Hyderabad (2010).

Bernoulli equilibrium states for surface diffeomorphisms.
J. Modern Dynamics 5 (2011)
 Adic flows, transversal flows, and horocycle flows
with Martin Schmoll.
Ergodic Theory and Dynamical Systems, Proc. of the Ergodic Theory workshops at University of North Carolina at Chapel Hill, 20112012. Ed. by I. Assani. De Gruyter Proceedings in Mathematics, 241259 (2013).
 Exponential chi squared distributions in infinite ergodic theory
. with Jon Aaronson
Erg. Th. Dyn. Syst. In press. Published online on CJO doi:10.1017/etds.2012.160 (2013)
 Symbolic dynamics for surface diffeomorphisms with positive
entropy. Journal of the AMS 26, 341426 (2013).
 The visits to zero of a random walk driven by an irrational rotation with
Artur Avila ,Dmitry Dolgopyat ,
and Eduard Duryev.
To appear in Israel J. Math. (2014) 46 pp.
Lecture notes
(These were never proof read, and probably never will be. Use with care!)
Workshop on infinite ergodic theory and related fields
Weizmann Institute, June 27
to July 1, 2010
