58 citations · 373 across the 79 of their papers we have counts for
4 papers · 1 filter
Direct and inverse results for popular differences in trees of positive dimension
Alexander Fish, Leo Jiang, with a joint appendix with Ilya D. Shkredov
We establish analogues for trees of results relating the density of a set , the density of its set of popular differences, and the structure of . To obtain…
Sets of transfer times with small densities
Michael Björklund, Alexander Fish, Ilya D. Shkredov
We consider in this paper the set of transfer times between two measurable subsets of positive measures in an ergodic probability measure-preserving system of a countable abelian g…
On Dynamical Systems With Slow Recurrence Time
I. Shkredov
Using a result of Behrend concerning sets without arithmetic progressions, we construct some examples of dynamical systems with slow time of multiple recurrence. Our theorem is a q…
On Multiple Recurrence
I. D. Shkredov
Let X be a metric space with metric d and T,S be two commutative measure-preserving maps of X. In this paper we obtain numerical results about multiple recurrence of almost every p…