### Research interests:

Ergodic theory, topological dynamics, symbolic dynamics, group actions, probability Theory.

Some current projects: Subshifts and their automorphism groups, Harmonic functions on groups.

## Teaching (Spring semester 2016)

### Office hours:

See here, or contact me by email to schedule an appointment.

BGU Probability and Ergodic Theory Seminar , Tuesdays at 11:00, room -101
BGU Mathematics Colloquium Tuesdays at 14:30, room -101

## Publications and Online preprints

Polynomials and harmonic functions on discrete groups *with Idan Perl, Matthew Tointon and Ariel Yadin*, submitted.[ arXiv ]
Markov Random Fields, Markov Cocycles and the 3-colored Chessboard * with Nishant Chandgotia* , submitted.[ arXiv ]
Groups with finite dimensional spaces of harmonic functions * with Ariel Yadin*, Israel Journal of Mathematics (to appear). [ arXiv ]
Direct topological factorization for topological flows , Ergodic Theory and Dynamical Systems (to appear) . [ arXiv ]
On independence and entropy for high-dimensional isotropic subshifts* with Ronnie Pavlov*, Proceedings of the London Mathematical Society (2014). [ arXiv ] [ journal ]
One dimensional Markov random fields, Markov chains and Topological Markov fields *with Nishant Chandgotia, Guangyue Han, Brian Marcus and Ronnie Pavlov* , Proceedings of the American Mathematical Society (2014). [ arXiv ] [ journal ].
Ergodicity of Poisson products and applications , Annals of Probability (2013). [ arXiv ] [ journal ].
Gibbs and equilibrium measures for some families of subshifts, , Ergodic Theory and Dynamical Systems (2013) . [ arXiv ] [ journal ]
Stationary map coloring * with Omer Angel, Itai Benjamini, Ori Gurel-Gurevich and Ron Peled*, Annales de l'Institut Henri Poincaré (2012). [ arXiv ] [ journal ]
Growth-type invariants for Z^{d} subshifts of finite type and arithmetical classes of real numbers, Inventiones Mathematica (2011). [ arXiv ] [ journal ]
Quasi-factors for infinite-measure preserving transformations, Israel Journal of Mathematics (2011). [ arXiv ] [ journal ]
Poisson suspensions and entropy
for infinite transformations with Elise Janvresse, Emmanuel Roy and
Thierry De La Rue, Transactions of the American Mathematics Society (2010). [arXiv]
[ journal ]
Finite entropy for
multidimensional cellular automata, Ergodic theory and dynamical systems (2008).[arXiv] [ journal]
A characterization of
the entropies of multidimensional shifts of finite type * with Michael
Hochman, * Annals of Mathematic (2010). [arXiv] [journal]
On multiple and polynomial recurrent extensions of infinite measure preserving transformations [arXiv]
Absolutely continuous,
invariant measures for dissipative, ergodic transformations, *with Jon
Aaronson*, Colloquium Mathematicum (2008). [arXiv] [journal]
Tail Invariant Measures,
of the Dyck Shift Israel Journal of Mathematics (2008).[ arXiv] [journal]
MSc Thesis: Tail Invariant Measures of The Dyck-Shift and Non-Sofic
Systems

I gratefully acknowledge support by People Programme (Marie
Curie Actions) of the European Union Seventh Framework Programme (FP7/2007-2013) under
REA grant agreement no. 333598 and and by the Israel Science Foundation (grant no. 626/14).