Ethan Ackelsberg

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20212026

most citedKhintchine-type recurrence for 3-point configurations

8 citations · 19 across the 14 of their papers we have counts for

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Showing 2023 · math.DSShow all

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math.DS2023

On the maximal spectral type of nilsystems

Ethan Ackelsberg, Florian K. Richter, Or Shalom

Let $(G /Γ, R_{a})$ be an ergodic $k$ -step nilsystem for $k \geq 2$ . We adapt an argument of Parry to show that $L^{2} (G /Γ)$ decomposes as a sum of a subspace with discrete spectrum and a…

math.DS2023★ 1 cited

Khintchine-type double recurrence in abelian groups

Ethan Ackelsberg

We prove a Khintchine-type recurrence theorem for pairs of endomorphisms of a countable discrete abelian group. As a special case of the main result, if $Γ$ is a countable discrete…