Vitaly Bergelson

Mathematical Physics · 2000–2011

A researcher in the Science corpus: 15 papers; trusts 9 researchers and is trusted by 19 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 36 citations into it; #1,273 of 8,562 by trust here, #686 by citations
• Discrete Mathematics and Combinatorics — 34 citations into it; #315 of 2,017 by trust here, #138 by citations
• Geometry and Topology — 34 citations into it; #1,166 of 7,422 by trust here, #788 by citations
• Algebra and Number Theory — 12 citations into it
• Statistics and Probability — 6 citations into it

Whom Vitaly Bergelson trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Alexander Leibman
2. T. Ziegler
3. B. Host
4. Nimish A. Shah
5. William T. Gowers
6. Ben Joseph Green
7. Bryna Kra
8. Bassam Fayad
9. Terence Tao
10. S. Bezuglyi

Who trusts Vitaly Bergelson overall

1. Ben Joseph Green
2. Nikos Frantzikinakis
3. Terence Tao
4. Tim Austin
5. Q. Chu
6. Wen Huang
7. B. Host
8. M. N. Walsh
9. Alexander Leibman
10. S. Shao

Papers from Vitaly Bergelson's perspective

Ordered by how strongly the researchers Vitaly Bergelson trusts endorse each paper. Same corpus, a different order for every researcher.

1. Universal characteristic factors and Furstenberg averages
2. Pointwise convergence of ergodic averages for polynomial sequences of translations on a nilmanifold (Ergodic Theory and Dynamical Systems)
3. Invariant Measures and Orbit Closures on Homogeneous Spaces for Actions of Subgroups Generated by Unipotent Elements
4. Convergence of multiple ergodic averages along polynomials of several variables
5. Polynomial mappings of groups
6. Ergodic Theory via Joinings
7. Multiple recurrence and nilsequences
8. Real Analysis
9. Fourier Analysis on Groups.
10. Distribution of values of bounded generalized polynomials

Their papers

• Topics in Dynamics and Ergodic Theory: Minimal idempotents and ergodic Ramsey theory (2003) — 74 citations
• Rigidity and non-recurrence along sequences (2011) — 59 citations
• Ultrafilters, IP sets, Dynamics, and Combinatorial Number Theory (2010) — 73 citations
• An Inverse Theorem for the Uniformity Seminorms Associated with the Action of $${{\mathbb {F}^{\infty}_{p}}}$$ (2009) — 61 citations
• Sumset phenomenon in countable amenable groups (2009) — 77 citations
• Large sets of integers and hierarchy of mixing properties of measure preserving systems (2008) — 62 citations
• Distribution of values of bounded generalized polynomials (2007) — 97 citations
• Intersective polynomials and polynomial Szemeredi theorem (2007) — 68 citations
• Piecewise-Bohr Sets of Integers and Combinatorial Number Theory (2006) — 48 citations
• Chapter 12 – Combinatorial and Diophantine Applications of Ergodic Theory (2006) — 51 citations
• Multiple recurrence and nilsequences (2005) — 205 citations
• A nilpotent Roth theorem (2002) — 76 citations
• Encyclopaedia of Mathematics, Supplement III (2002) — 57 citations
• The Multifarious Poincaré Recurrence Theorem (2000) — 47 citations
• An Ergodic IP Polynomial Szemerédi Theorem (2000) — 97 citations