K. Bulinski

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20172022

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math.DS2022

Glasner property for linear group actions and their products

Kamil Bulinski, Alexander Fish

A theorem of Glasner from 1979 shows that if $Y \subset T = R / Z$ is infinite then for each $ε > 0$ there exists an integer $n$ such that $nY$ is $ε$ -dense…

math.DS2021

Reconstructing a minimal topological dynamical system from a set of return times

Kamil Bulinski, Alexander Fish

We investigate to what extent a minimal topological dynamical system is uniquely determined by a set of return times to some open set. We show that in many situations this is indee…

math.DS2021

Glasner property for unipotently generated group actions on tori

Kamil Bulinski, Alexander Fish

A theorem of Glasner from 1979 shows that if $A \subset T = R / Z$ is infinite then for each $ε > 0$ there exists an integer $n$ such that $n A$ is $ε$ -dense…

math.DS2017

Twisted Recurrence via Polynomial Walks

Kamil Bulinski, Alexander Fish

In this paper we show how polynomial walks can be used to establish a twisted recurrence for sets of positive density in $Z^{d}$ . In particular, we prove that if $Γ\leq \ope…