Leave Rempe-Gillen

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Lasse Rempe-Gillen in 2014 at an exhibition on fractals that he organized

Lasse Rempe-Gillen , until 2012 Lasse Rempe , (born January 20, 1978 in Kiel ) is a German mathematician who deals with complex dynamics ( Mandelbrot set , Julia set, etc.) and complexity theory. He is a professor at the University of Liverpool .

From 1996 Rempe studied mathematics at the Christian-Albrechts-Universität Kiel , where he received his doctorate summa cum laude under Walter Bergweiler in 2003 (his dissertation Dynamics of Exponential Maps received the faculty award). He also studied as a Fulbright Scholar at the State University of New York at Stony Brook in 1999/2000 and at the University of Paris-South (DEA in computer science) in 2001/02 . He was a post-doctoral student at the University of Warwick . From 2006 he was a lecturer , from 2009 reader and from 2012 professor at the University of Liverpool.

He dealt with the complex dynamics (iteration) of entire functions such as the exponential mapping and their escaping sets (escaping sets, with partial results for the conjecture of Alexandre Eremenko ). Rempe-Gillen is also known for popularizing mathematics, for example in television programs on the BBC.

In 2010 he received the Whitehead Prize and in 2012 the Philip Leverhulme Prize. In 2017 he became a Fellow of the American Mathematical Society .

Parameter space of the iteration of the exponential function (picture by Lasse Rempe); Points with periodic attractor colored (hyperbolic components), bifurcation points (with regard to parameter variation in unstable dynamics) black

Fonts

  • with Markus Förster, Dierk Schleicher: Classification of Escaping Exponential Maps, Proc. AMS, vol. 136, 2008, pp. 651-663, Arxiv
  • On a question of Eremenko concering escaping sets of entire functions, Bull. London Math. Soc., Volume 39, 2007, pp. 661-666, Arxiv
  • with Dierk Schleicher : Bifurcations in the Space of Exponential Maps, Inventiones Mathematicae, Volume 175, 2009, pp. 103-135, Arxiv
  • Rigidity of escaping dynamics of transcendental entire functions, Acta Mathematica, Volume 203, 2009, pp. 235-267, Arxiv
  • The escaping set of the exponential, Ergodic theory and dynamical systems, Volume 30, 2010, pp. 595-599, Arxiv
  • Prime Ends and Local Connectivity, Bull. LMS, Vol. 40, 2008, pp. 817-826, Arxiv
  • with Helena Mihaljević : Absence of wandering domains for some real entire functions with bounded singular sets, Mathematische Annalen , (2013) Volume 357, Issue 4, pp. 1577-1604. DOI
  • Hyperbolic entire functions with full hyperbolic dimension and approximation by Eremenko-Lyubich functions, J. LMS, Volume 108, 2014, pp. 1193-1225, Arxiv
  • with Zhaiming Shen: The exponential map is chaotic: An invitation to transcendental dynamics, American Math. Monthly, Arxiv 2014
  • Arc-like continua, Julia sets of entire functions, and Eremenko's Conjecture, Arxiv 2016
  • with Rebecca Waldecker: Primality tests for beginners, Vieweg / Teubner 2009
    • English translation: Primality testing for beginners, AMS 2014
  • with Sebastian van Strien : Density of hyperbolicity for real entire functions, Duke Mathematical Journal, Volume 164, 2015, pp. 1079–1137, Arxiv

Web links

Individual evidence

  1. ↑ Lasse Rempe-Gillen in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
personal data
SURNAME Rempe-Gillen, Lasse
ALTERNATIVE NAMES Rempe, Lasse
BRIEF DESCRIPTION German mathematician
DATE OF BIRTH January 20, 1978
PLACE OF BIRTH Kiel