Author

V. Bergelson

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Open access Sep 2025

Metric uniform distribution on analytic curves

We obtain multidimensional metric uniform distribution results involving sequences in Rk\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\m...

V. Bergelson, Joel Moreira · Research in the Mathematical... · 0 citations

Preprint Sep 2026

Weighted averages and applications to sets of multiple recurrence

We introduce new techniques for determining combinatorial properties of sets of multiple recurrence by considering weighted averages with quickly growing weights. Our main result is a far-reaching generalization of Szemer\'edi's Theorem which additionally confirms a conjecture of Bergelson-Moreira-Richter and contains...

V. Bergelson, Michael Reilly · 0 citations

Preprint Sep 2026

Weighted ergodic averages along subpolynomials in Hardy fields and applications

We establish new pointwise convergence results for weighted ergodic averages along sequences of the form $ (\lfloor a(n) \rfloor)_{n \in \mathbb{N}}, $ where $a(x)$ is a subpolynomial function in a Hardy field. For example, we establish pointwise convergence of logarithmic averages along sequences of the form $(\lflo...

V. Bergelson, Sovanlal Mondal, Younghwan Son · 0 citations