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)
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 Zd 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]
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
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).