4 papers
Asymmetry of -cohomology via skewed Følner geometry
Nachi Avraham-Re'em, Zemer Kosloff
We study the two -Dirichlet structures on a countable group arising from the left and right regular actions on . Although the two regular representati…
Counterexamples to double recurrence for non-commuting deterministic transformations
Zemer Kosloff, Shrey Sanadhya
We show that if are injective, integer polynomials that vanish at the origin, such that either both are of degree or both are of degree or higher, then double rec…
Sinai factors of nonsingular systems: Bernoulli shifts and Anosov flows
Zemer Kosloff, Terry Soo
We show that a totally dissipative system has all nonsingular systems as factors, but that this is no longer true when the factor maps are required to be finitary. In particular, i…
Multidimensional local limit theorem in deterministic systems and an application to non-convergence of polynomial multiple averages
Zemer Kosloff, Shrey Sanadhya
We show that for every ergodic and aperiodic probability preserving system , there exists , whose corresponding cocycle satisfies the -…