Vitaly Bergelson

Research.com Recognitions

• 2013 - Fellow of the American Mathematical Society

Overview

Best Publications

• Polynomial extensions of van der Waerden’s and Szemerédi’s theorems

  V. Bergelson;A. Leibman;A. Leibman

  447
  Citations

• Multiple recurrence and nilsequences

  Vitaly Bergelson;Bernard Host;Bryna Kra;Imre Ruzsa

  307
  Citations

• Weakly mixing PET

  V. Bergelson

  265
  Citations

• Nonmetrizable topological dynamics and Ramsey theory

  Vitaly Bergelson;Neil Hindman

  158
  Citations

• An Inverse Theorem for the Uniformity Seminorms Associated with the Action of {{\mathbb {F}^{\infty}_{p}}}

  Vitaly Bergelson;Terence Tao;Tamar Ziegler

  133
  Citations

• Mixing actions of groups

  Vitaly Bergelson;Joseph Rosenblatt

  119
  Citations

• Distribution of values of bounded generalized polynomials

  Vitaly Bergelson;Alexander Leibman

  107
  Citations

• Partition Theorems for Spaces of Variable Words

  Vitaly Bergelson;Andreas Blass;Neil Hindman

  104
  Citations

• An ergodic IP polynomial Szemerédi theorem

  Vitaly Bergelson;Randall McCutcheon

  95
  Citations

• Set-polynomials and polynomial extension of the Hales-Jewett Theorem

  Vitaly Bergelson;Alexander Leibman

  88
  Citations

• Notions of Size and Combinatorial Properties of Quotient Sets in Semigroups

  Vitaly Bergelson;Neil Hindman;Randall McCutcheon

  84
  Citations

• Sumset phenomenon in countable amenable groups

  Mathias Beiglböck;Vitaly Bergelson;Alexander Fish

  79
  Citations

• Intersective polynomials and the polynomial Szemerédi theorem

  Vitaly Bergelson;Alexander Leibman;Emmanuel Lesigne

  76
  Citations

• Large sets of integers and hierarchy of mixing properties of measure preserving systems

  Vitaly Bergelson;Tomasz Downarowicz

  75
  Citations

• A nilpotent Roth theorem

  V. Bergelson;A. Leibman

  73
  Citations

• Topics in Dynamics and Ergodic Theory: Minimal idempotents and ergodic Ramsey theory

  Unknown

  73
  Citations

• IP-sets and polynomial recurrence

  Vitaly Bergelson;Hillel Furstenberg;Randall McCutcheon

  71
  Citations

• Chapter 12 – Combinatorial and Diophantine Applications of Ergodic Theory

  Vitaly Bergelson;A. LeibmanM;Anthony Quas;Máté Wierdl

  71
  Citations

• Partition Regular Structures Contained in Large Sets Are Abundant

  Vitaly Bergelson;Neil Hindman

  70
  Citations

• Multiplicative structures in additively large sets

  Mathias Beiglböck;Vitaly Bergelson;Neil Hindman;Dona Strauss

  67
  Citations

• Convergence in ergodic theory and probability

  V. Bergelson;P. March;J. Rosenblatt

  37
  Citations

• Ultrafilters, IP sets, Dynamics, and Combinatorial Number Theory

  Vitaly Bergelson

  27
  Citations

• Intersective polynomials and polynomial Szemeredi theorem

  Vitaly Bergelson;Alexander Leibman;Emmanuel Lesigne

  10
  Citations