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STAFF
  Jeroen Lamb  
  Martin Rasmussen  
  Dmitry Turaev  
  Sebastian van Strien  
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PROFESSOR
SEBASTIAN VAN STRIEN


Sebastian van Strien

Chair in Dynamical Systems

 
 

Phone: +44(207)59-42844
Room: 6M36 Huxley Building

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FURTHER INFO
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LMS Network Holomorphic Dynamics
Reading group Dynamics of Games

Publications Sebastian van Strien from 1996 (by subject)

for recent papers and to download papers go here

Quasisymmetric rigidity and asymptotically holomorphic maps:

Stochastic Stability:

Network dynamics:

Survey on One-dimensional Dynamics:

Palis Conjecture and Density of Hyperbolicity in Real Dimension One:

  • with Lasse Rempe, Density of hyperbolicity for classes of real transcendental entire functions and circle maps. Duke Math. J. 164 (2015), no. 6, 1079–1137.
  • Oleg Kozlovski, Weixiao Shen and Sebastian van Strien, Rigidity for real polynomials. Annals of Mathematics 165 (May 2007), 749-841.
  • Oleg Kozlovski, Weixiao Shen and Sebastian van Strien, Density of hyperbolicity in dimension one. Annals of Mathematics 166 (July 2007), 145-182.
  • Henk Bruin, Weixiao Shen and Sebastian van Strien, Existence of unique SRB-measures is typical for unimodal families, Annales Scientifiques de l'ENS (4) 39 (2006), no 4, 381--414
  • One-Parameter Families of Smooth Interval Maps: Density of Hyperbolicity and Robust Chaos, Proc. A.M.S. 138 (2010), 4443-4446.

Monotonicity of Topological Entropy:

Real versus Complex Dynamics:

  • Alexandre Eremenko and Sebastian van Strien, Rational functions with real multipliers. Trans. AMS 363 (2011), 6453-6463

Invariant Measures in Real Dimension One:

  • Henk Bruin, Juan Rivera-Letelier, Weixiao Shen and Sebastian van Strien, Large derivatives, backward contraction and invariant densities for interval maps, Inventiones Math. 172, (2008), 509-533.
  • Henk Bruin, Weixiao Shen and Sebastian van Strien, Invariant measures exist without a growth condition, Commun. Math. Phys. 241 (2003), 287-306.
  • Henk Bruin, Stefano Luzzatto and Sebastian van Strien, Decay of correlations in one-dimensional dynamics. Annales Scientifiques de l'Ecole Norm. Sup. (4) 36 (2003), no. 4, 621--646.

Local Connectivity and Complex Bounds in Complex Dimension One:

  • Oleg Kozlovski and Sebastian van Strien, Local connectivity and quasi-conformal rigidity of non-renormalizable polynomials. Proceedings LMS (2) 99 (2009), 275--296.
  • Olek Kozlovski and Sebastian van Strien, Stable maps are dense in dimension one, In: Sidoravicius (ed.), New trends in mathematical physics. Selected contributions of the XVth international congress on mathematical physics, Rio de Janeiro, Brazil, August 5--11, 2006. Dordrecht: Springer. 403-412 (2009).
  • Lasse Rempe and Sebastian van Strien, Absence of line fields and Mane's theorem for non-recurrent transcendental functions, Trans. Amer. Math. Soc. 363 (2011) 203-228.
  • with Trevor Clark and Sofia Trejo, Complex box bounds for real maps. arXiv:1310.8338. Comm. Math. Phys. 355 (2017), no 3, 1001-1119.
  • with Trevor Clark, Kostiantyn Drach, Oleg Kozlovski, The dynamics of complex box mappings, 88 pages.

  • Bounds in Real One Dimensional Dynamics:

  • Sebastian van Strien and Edson Vargas, Real Bounds, ergodicity and negative Schwarzian for multimodal maps , J. Amer. Math. Soc. 17 (2004), 749-782.
  • Two Dimensional Dynamics:

  • with Viacheslav Grines and Olga Pochinka, Viacheslav Grines, Olga Pochinka and Sebastian van Strien, A complete topological classification of Morse-Smale diffeomorphisms on surfaces: a kind of kneading theory in dimension two