46 citations · 279 across the 57 of their papers we have counts for
68 papers
An ergodic approach to equations of the form
Vitaly Bergelson, Hao Pan, Saúl Rodríguez Martín
Motivated by questions and results of Erdős, Sárközy and Sós (1989), and Khalfalah and Szemerédi (2006), we introduce an ergodic approach to additive problems concerning solutions…
Weighted averages and applications to sets of multiple recurrence
Vitaly Bergelson, Michael Reilly
We introduce new techniques for determining combinatorial properties of sets of multiple recurrence by considering weighted averages with quickly growing weights. Our main result i…
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…
Product sets in sets of returns and positivity of symmetric ergodic averages
Vitaly Bergelson, Saúl Rodríguez-Martín
We study sets of (measurable) returns in countable groups , namely sets of the form arising from measure-preserving actions. Extending a result of B…
Weighted averages of arithmetic functions and applications to equidistribution and ergodic theory
Vitaly Bergelson, Michael Reilly, Florian K. Richter
For a wide range of functions , we establish a general result for estimating weighted averages of the form\[\mathbb{E}^{W}_{n \le N} f(\vartheta(n))…
Regularized Regression by Composition: Identifiability, Structured Penalization, and Statistical Guarantees for Multi-Flow Distributional Models
Safaa K. Kadhem
Regression by composition provides a flexible framework for constructing conditional distributions through sequential group actions. However, when multiple flows act on the same di…