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Nikos Karaliolios
Dongchen Li
Paul Verschueren
Björn Winckler
Alex Athorne
Sajjad Bakrani Balani
Giulia Carigi
Andrew Clarke
Maximilian Engel
Federico Graceffa
Michael Hartl
Giuseppe Malavolta
Guillermo Olicón Méndez
Cezary Olszowiec
Christian Pangerl
Mohammad Pedramfar
Kalle Timperi
Shangzhi Li
Ole Peters
Camille Poignard
Cristina Sargent
Bill Speares
Kevin Webster
Mauricio Barahona
Davoud Cheraghi
Martin Hairer
Darryl Holm
Xue-Mei Li
Greg Pavliotis


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.
  • 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