Ergodic theory, topological dynamics, symbolic dynamics, group actions, probability theory.
Teaching (Fall semester 2016-2017)
See here, or contact me by email to schedule an appointment.
Publications and Online preprints
Positive Sofic Entropy Implies Finite Stabilizer, Entropy (to appear in the Special Issue Entropic Properties of Dynamical Systems). [ arXiv], [journal]
Polynomials and harmonic functions on discrete groups with Idan Perl, Matthew Tointon and Ariel Yadin, to appear in Trans. Amer. Math. Soc..[ arXiv ]
Markov Random Fields, Markov Cocycles and the 3-colored Chessboard with Nishant Chandgotia , Israel Journal of Mathematics (2016).[ arXiv ], [journal]
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).