P. Naryshkin

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20182025

most citedHyperfiniteness and Borel asymptotic dimension of boundary actions of hyperbolic groups

1 citations · 1 across the 7 of their papers we have counts for

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math.DS2025

Quantitative orbit equivalence for $Z$ -odometers

Petr Naryshkin, Spyridon Petrakos

We prove that any two $Z$ -odometers are sub- $L^{1}$ -orbit equivalent, greatly strengthening previous results and giving a definitive picture of quantitative orbit equivalenc…

math.DS2024

URP, comparison, mean dimension, and sharp shift embeddability

Petr Naryshkin

For a free action $G ↷ X$ of an amenable group on a compact metrizable space, we study the Uniform Rokhlin Property (URP) and the conjunction of Uniform Rokhlin Prop…

Quantitative orbit equivalence for Z-odometers

URP, comparison, mean dimension, and sharp shift embeddability

Quantitative orbit equivalence for $Z$ -odometers