O. Shalom

activity

20202026

most citedMultiple ergodic averages in abelian groups and Khintchine type recurrence

14 citations · 30 across the 16 of their papers we have counts for

collaborators

Showing 2021 · math.DSShow all

4 papers · 2 filters

math.DS2021

The structure of arbitrary Conze-Lesigne systems

Asgar Jamneshan, Or Shalom, Terence Tao

Let $Γ$ be a countable abelian group. An (abstract) $Γ$ -system $X$ - that is, an (abstract) probability space equipped with an (abstract) probability-preserving action of…

math.DS2021★ 3 cited

Host-Kra factors for $⨁_{p \in P} Z / p Z$ actions and finite dimensional nilpotent systems

Or Shalom

Let $P$ be a countable multiset of primes and let $G = ⨁_{p \in P} Z / p Z$ . We study the universal characteristic factors associated with the Gowers-H…

math.DS2021★ 14 cited

Multiple ergodic averages in abelian groups and Khintchine type recurrence

Or Shalom

Let $G$ be a countable abelian group. We study ergodic averages associated with configurations of the form ${a g, b g, (a + b) g}$ for some $a, b \in Z$ . Under some assumptions on…

math.DS2021★ 5 cited

Host-Kra theory for $⨁_{p \in P} F_{p}$ - Systems and multiple recurrence

Or Shalom

Let $P$ be an (unbounded) countable multiset of primes (i.e. every prime may appear multiple times) and let $G = ⨁_{p \in P} F_{p}$ . We develop a Hos…

The structure of arbitrary Conze-Lesigne systems

Host-Kra factors for ⨁p∈P​Z/pZ actions and finite dimensional nilpotent systems

Multiple ergodic averages in abelian groups and Khintchine type recurrence

Host-Kra theory for ⨁p∈P​Fp​- Systems and multiple recurrence

Host-Kra factors for $⨁_{p \in P} Z / p Z$ actions and finite dimensional nilpotent systems

Host-Kra theory for $⨁_{p \in P} F_{p}$ - Systems and multiple recurrence