5 citations · 12 across the 10 of their papers we have counts for
12 papers
Weighted ergodic averages along subpolynomials in Hardy fields and applications
Vitaly Bergelson, Sovanlal Mondal, Younghwan Son
We establish new pointwise convergence results for weighted ergodic averages along sequences of the form \( (\lfloor a(n) \rfloor)_{n \in \mathbb{N}}, \) where is a subpolyn…
Weighted uniform distribution of subpolynomial functions along primes and applications
Vitaly Bergelson, Grigori Kolesnik, Younghwan Son
Let be a subpolynomial function in a Hardy field. We establish necessary and sufficient conditions for the weighted uniform distribution of the sequences $(u(n))_{n\in\mathb…
An extension of the Wiener-Wintner ergodic theorem for pointwise jointly ergodic systems and its applications
Michihiro Hirayama, Younghwan Son
A joint measure-preserving system is , where each is a measure-preserving system and an…
Joint ergodicity of piecewise monotone interval maps
Vitaly Bergelson, Younghwan Son
For , let be a Borel probability measure on which is equivalent to Lebesgue measure and let be -preservi…
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 almost every number $x \i…
On the multiple recurrence properties for disjoint systems
Michihiro Hirayama, Dong Han Kim, Younghwan Son
We consider mutually disjoint family of measure preserving transformations on a probability space . We obtain the multiple recurrence proper…