Sebastian van Strien

from Wikipedia, the free encyclopedia

Sebastian van Strien (born April 21, 1956 in Groningen ) is a Dutch mathematician who deals with dynamic systems .

Van Strien received his doctorate in 1982 with Johannes Duistermaat at the University of Utrecht (and with Floris Takens from the University of Warwick ) (One Parameter Families of Vectorfields. Bifurcations near Saddle-connections) and again with David Rand (and Floris Takens) at the University of Warwick 1984 (Diffeomorphisms on Surfaces with a Finite Number of Moduli). From 1982 to 1992 he was a lecturer (Universitair Hoofddocent) at the TU Delft and from 1992 to 1997 professor at the University of Amsterdam . In 1997 he became a professor at the University of Warwick and in 2012 at Imperial College London .

With Gennadi Levin, he published partial results in 1998 on MLC and the local context of Julia quantities. A proof by him and Tomasz Nowicki from 1994 about the existence of Julia sets with a positive Lebesgue measure turned out to be flawed, the existence was later proven by Xavier Buff and Arnaud Chéritat . In 1993 he showed with Henk Bruin , Gerhard Keller and Tomasz Nowicki that polynomial unimodal mappings of the unit interval exist with Fibonacci dynamics, with which they answered a question by John Milnor (the topological and metric attractor are different in these mappings). In 2007, together with Oleg Kozlovski and Weixiao Shen , he solved an important part of the eleventh problem of the Smale problem : Hyperbolic mappings are close together in the space of the mappings of a compact interval or circle ( ). They also showed that every real polynomial can be approximated by a hyperbolic polynomial of the same degree. With Lasse Rempe-Gillen he showed that hyperbolic mappings are also dense for large classes of real transcendent functions (for example, whole transcendent real functions bounded on the real line, with a finite number of singular places that are all real).

In 2014 he was invited speaker at the International Congress of Mathematicians in Seoul (with Weixiao Shen: Recent developments in interval dynamics).

From 1996 to 2013 he was editor of Ergodic Theory and Dynamical Systems. In 1999 he became a corresponding member of the Dutch Academy of Sciences. In 2007/08 he was a Leverhulme Research Fellow.

Fonts (selection)

  • with Welington de Melo : One-dimensional dynamics, results of mathematics and their border areas , Springer 1993
  • with Henk Bruin, Gerhard Keller, Tomasz Nowicki: Wild Cantor attractors exist, Annals of Math., 143 (1996), 97-130
  • with Genadi Levin, Locally connected Julia sets of real polynomials. Annals of Math., 147: 471-541 (1998). Arxiv
  • with G. Levin, Bounds for interval maps with one inflection point II, Inventiones Mathematicae 141 (2000), 399-465.
  • with Henk Bruin, Weixiao Shen: Invariant measures exist without a growth condition, Commun. Math. Phys. 241: 287-306 (2003).
  • with Oleg Kozlovski, Weixiao Shen, Rigidity for real polynomials, Annals of Math., 165 (2007), 749-841.
  • with Henk Bruin, Weixiao Shen, Existence of unique SRB-measures is typical for unimodal families, Annales Scientifiques de l'ENS. 39: 381-534 (2006)
  • with Oleg Kozlovski, Weixiao Shen, Density of hyperbolicity in dimension one, Annals of Math., 166 (2007), 145-182.
  • with Colin Sparrow, Christopher Harris: Fictitious Play in 3x3 Games: the transition between periodic and chaotic bahavior. Games and Economic Behavior, 63 (2008), 259-291. Arxiv
  • with Oleg Kozlovski: Local connectivity and quasi-conformal rigidity of non-renormalizable polynomials, Proceedings of the London Mathematical Society 99 (2009), 275-296. Arxiv
  • with Henk Bruin, Juan Rivera-Letelier, Weixiao Shen: Large derivatives, backward contraction and invariant densities for interval maps, Inventiones Mathematicae, 172 (2008), 509-533.
  • with Henk Bruin, Monotonicity of entropy for real multimodal maps, Journal of the AMS. 28 (2015), 1-61.
  • with Lasse Rempe-Gillen: Density of hyperbolicity for real entire functions, Duke Mathematical Journal, Volume 164, 2015, pp. 1079–1137, Arxiv

Web links

Individual evidence

  1. ↑ Sebastian van Strien in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ^ Van Strien, Nowicki, Polynomial maps with a Julia set of positive measure, 1994 . Xavier Buff found a bug in 1997.
personal data
SURNAME Strien, Sebastian van
BRIEF DESCRIPTION Dutch mathematician
DATE OF BIRTH April 21, 1956
PLACE OF BIRTH Groningen