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STAFF
  Jeroen Lamb  
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  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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LMS Network Holomorphic Dynamics

Publications Sebastian van Strien from 1996 (by subject)

for recent papers and to download papers go here

Game Theory and Fictitious Play:

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.
  • Trevor Clark and Sofia Trejo, Complex box bounds for real maps. arXiv:1310.8338. Comm. Math. Phys. 355 (2017), no 3, 1001-1119.
  • 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.