Vitaly Bergelson
Mathematics · The Ohio State University
Publications
235
Citations
3,814
Est. group size
—
Recurring co-author estimate
Active years
53
Publishing since 1973
Vitaly Bergelson studies ergodic theory (the long-term statistical behavior of dynamical systems) and its connections to number theory and combinatorics, particularly Ramsey theory (the study of unavoidable patterns in large structures). Much of the recent work uses tools from dynamics to prove results about patterns in numbers, such as polynomial equations that must have solutions in any large enough set, and properties of how digits or number representations distribute themselves. This research is highly theoretical and connects abstract mathematical dynamics to concrete questions about integers, finite fields, and combinatorial patterns.
Publication output rose from 2017 to a peak around 2020-2021, then has gradually declined through 2025, averaging about 4 papers per year over the last five years.
Generated by claude-sonnet-5 from public bibliographic data · Jul 20, 2026
- Polynomial actions of rings of integers of global fields and quasirandomness of Paley-type graphs
arXiv (Cornell University) · 2025
- On preservation of normality and determinism under arithmetic operations
arXiv (Cornell University) · 2025
- Metric uniform distribution on analytic curves
arXiv (Cornell University) · 2025
- New Applications of Ergodic Theory to Sets of Differences
arXiv (Cornell University) · 2024
- The work of Hillel Furstenberg and its impact on modern mathematics
The Abel prize · 2024
- Joint normality of representations of numbers: an ergodic approach
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE · 2024
- Multiple ergodic averages along functions from a Hardy field: Convergence, recurrence and combinatorial applications
Advances in Mathematics · 2024
- Multiple recurrence and popular differences for polynomial patterns in rings of integers
Mathematical Proceedings of the Cambridge Philosophical Society · 2023
- On the Polynomial Szemerédi Theorem in Finite Commutative Rings
arXiv (Cornell University) · 2023
- Polynomial patterns in subsets of large finite fields of low characteristic
arXiv (Cornell University) · 2023
- Furstenberg--Sárközy theorem and partition regularity of polynomial equations over finite fields
arXiv (Cornell University) · 2023
- Strongly mixing systems are almost strongly mixing of all orders
Ergodic Theory and Dynamical Systems · 2023
- Joint ergodicity of piecewise monotone interval maps
Nonlinearity · 2023
- Juxtaposing combinatorial and ergodic properties of large sets of integers
Israel Journal of Mathematics · 2022
- Joint ergodicity of piecewise monotone interval maps
arXiv (Cornell University) · 2022
- arXiv (Cornell University)×27
- Israel Journal of Mathematics×4
- Ergodic Theory and Dynamical Systems×4
- Journal of Combinatorial Theory Series A×3
- Advances in Mathematics×3
- Ilya D. Shkredov
Mathematics · Purdue University West Lafayette
- Gabriel Conant
Mathematics · The Ohio State University
- Andreas Koutsogiannis
Mathematics · The Ohio State University
- James A. Riddell
Mathematics · The Ohio State University
- Margaret E. M. Thomas
Mathematics · Purdue University West Lafayette
This profile was generated automatically from public scholarly data (OpenAlex). Group size and activity levels are estimates derived from co-authorship patterns.
Last updated Jul 19, 2026.
Claim or correct this profile