Publications, preprints, notes, etc.

You can find reviews of some of my papers on Mathscinet, and some of my preprints on the arxiv.

In progress

Geometric rigidity of times-m invariant measures
In preparation.

Dynamics on fractal measures
In preparation.

On the dimension of orbit closures for commuting transformations.
With Tom Meyerovitch,
in preparation.

Preprints / in review

Isomorphism and embedding into Markov shifts off universally null sets
preprint

Local entropy averages and projections of fractal measures.
With Pablo Shmerkin.
arxiv, preprint

Rohlin properties for $Z^d$-actions on the Cantor set.
preprint, arxiv

Published / accepted

On zero-temperature limits of Gibbs states.
With J.R. Chazottes,
To appear in Communications in Mathematical Physics, arxiv, Preprint.

Determinism and invertibility in topological dynamics.
To appear in Ergodic Theory Dynamical Systems, arxiv, preprint.

Expansive directions for $Z^2$ actions.
To appear in Ergodic Theory Dynamical Systems. arxiv, preprint.

On the automorphism group of multidimensional SFTs.
To appear in Ergodic Theory Dynamical Systems. preprint

A ratio ergodic theorem for multiparameter actions.
To appear in Journal of the European Mathematical Society. preprint, arxiv

A Characterization of the Entropies of Multidimensional Shifts of Finite Type.
With Tom Meyerovitch,
To appear in Annals of Mathematics. Journal, arxiv.

Upcrossing inequalities for stationary sequences and applications to entropy and complexity
Ann. Probab. Volume 37, Number 6 (2009), 2135-2149. arxiv, journal..

On universality in multidimensional symbolic dynamics,
Discrete and Continuous Dynamical Systems S, Volume: 2, No. 2, 2009. preprint, arxiv journal

On the dynamics and recursive properties of multidimensional symbolic systems .
Inventiones Mathematica, Volume 176, Number 1, April, 2009. preprint, journal

On processes which cannot be distinguished by finitary observation.
With Yonatan Gutman,
Israel journal of Mathematics, Volume 164, Number 1 / March, 2008, journal, arxiv.

Genericity in Topological Dynamics.
Ergodic Theory Dynamical Systems (2008), 28 : 125-165, journal arxiv.

Averaging sequences and abelian rank in amenable groups.
Israel Journal of Mathematics, Volume 158, Number 1 / March, 2007, journal, arxiv.

Return times, recurrence densities and entropy for actions of some discrete amenable groups,
Journal d'Analyse Mathematique, Volume 100, Number 1 / December, 2006, journal, arxiv.

Notes

On one-sided and two sided ergodic averages of non-integrable functions.
This note answers a question raised in the Fall 2008 semester on Ergodic Theory at MSRI. In retrospect it is a pretty simple thing. A similar proof was given independently by Benjamin Weiss. pdf.

Probability measures on R^d are amenable
This is the measure-theoretic analogue of the main lemma in my paper on ratio ergodic theorems. It is apparentl;y not known (let me know if you have seen it before).. pdf.

Recurrence densities for ergodic processes
This is a shorter (6 pages, incl. intro & bib), friendlier version of the main result from my paper on "Return Times and Recurrence Densities...". pdf

Calculus Textbook

Together with my friends Yonatan Harel, Ittay Weiss and Ofek Shilon, I have written a calculus textbook to accompany the first year course given at the Hebrew University (the book is in Hebrew, of course). Here is the table of contents. The book is available from Academon Press. Corrections can be found on the book site.

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