Vitaly Bergelson

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Vitaly Bergelson 2012

Vitaly Bergelson (* 1950 in Kiev ) is an Israeli mathematician .

Career

Bergelson received his doctorate in 1984 under Hillel Fürstenberg at the Hebrew University in Jerusalem ( Applications of ergodic theory to combinatorics ). He taught at the Technion and is a professor at Ohio State University .

Bergelson deals with ergodic theory and combinatorics . He proved his doctoral Alexander Leibman a polynomial generalization of the set of Szemerédi (polynomial Szemerédi theorem). More precisely, they proved a polynomial version of a multi-dimensional generalization of Szemeredi's theorem by Katznelson and Fürstenberg. He also worked with Terence Tao and Tamar Ziegler .

In 2012 he became a Fellow of the American Mathematical Society . In 2006 he was invited speaker at the International Congress of Mathematicians in Madrid (Ergodic Ramsey Theory: A Dynamical Approach to Static Theorems).

Fonts

  • with A. Leibman: Polynomial extensions of van der Waerden's and Szemerédi's theorems, Journal of the American Mathematical Society, Volume 9, 1996, pp. 725-753
  • with B. Host, B. Kra: Multiple recurrence and nilsequences, Inventiones Math., Volume 160, 2005, pp. 261-303.
  • with B. Host, R. McCutcheon, F. Parreau: Aspects of uniformity in recurrence, Colloq. Math., Volume 85, 2000, pp. 549-576.
  • with A. Leibman: Failure of Roth theorem for solvable groups of exponential growth, Ergodic Theory and Dynam. Systems, Volume 24, 2004, pp. 45--53.
  • with P. March, J. Rosenblatt: Convergence in ergodic theory and probability, De Gruyter 1996
  • with Randall McCutcheon: An ergodic IP polynomial Szemerédi theorem, Memoirs AMS 2000

Web links

Individual evidence

  1. Alexander Soifer, The mathematical coloring book, Springer 2009, p. 358
  2. Vitaly Bergelson in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  3. Born 1960 in Moscow, PhD with Bergelson at the Technion 1995. Later like Bergelson at the Ohio State University.
  4. Green, Tao, Szemeredi's Theorem, Scholarpedia