Y. Son

activity

20132026

most citedBirkhoff sum fluctuations in substitution dynamical systems

5 citations · 12 across the 10 of their papers we have counts for

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Showing 2022 · math.DSShow all

2 papers · 2 filters

math.DS2022★ 1 cited

Joint ergodicity of piecewise monotone interval maps

Vitaly Bergelson, Younghwan Son

For $i = 0, 1, 2, \dots, k$ , let $μ_{i}$ be a Borel probability measure on $[0, 1]$ which is equivalent to Lebesgue measure $λ$ and let $T_{i} : [0, 1] \to [0, 1]$ be $μ_{i}$ -preservi…

math.DS2022

Joint normality of representations of numbers: an ergodic approach

Vitaly Bergelson, Younghwan Son

We introduce an ergodic approach to the study of {\em joint normality} of representations of numbers. For example, we show that for any integer $b \geq 2$ almost every number $x \i…