STAFF
HONORARY STAFF
POSTDOCS
PHD STUDENTS
VISITORS
RELATED STAFF
|
|
PROFESSOR
SEBASTIAN VAN STRIEN
Chair in Dynamical Systems
Phone: +44(207)59-42844
Room: 6M36 Huxley Building
PUBLICATIONS
FURTHER INFO
|
|
Publications Sebastian van Strien from 1996 (by subject)
for recent papers and to download papers go
here
Quasisymmetric rigidity and asymptotically holomorphic maps:
- with Trevor Clark, Quasisymmetric rigidity in one-dimensional dynamics, https://arxiv.org/abs/1805.09284. Submitted for publication. 143 pages.
-
with Trevor Cark and Edson de Faria,
Dynamics of asymptotically holomorphic polynomial-like maps, Ergodic Theory and Dynamical Systems. 43 (2023), no. 11, 3636–3684.
-
with Trevor Clark, Conjugacy classes of real analytic one-dimensional maps are analytic connected manifolds Submitted for publication.
Game Theory and Fictitious Play:
- with Georg Ostrovski, Payoff performance of fictitious play. Journal of Dynamics and Games (1), 2014, 621-638.
- With Georg Ostrovski, Piecewise Linear Hamiltonian Flows Associated to Zero-Sum Games: Transition Combinatorics and Questions on Ergodicity, Regular and Chaotic Dynamics, 16, 1-2, 2011, 129-154.
- A new class of Hamiltonian flows with random-walk behavior originating from zero-sum games and Fictitious Play. Nonlinearity 24 (2011), 1715-1742.
- With Colin Sparrow, Fictitious Play in 3x3 Games: chaos and dithering behaviour,
Games and Economic Behavior 73 (2011), 262-286.
Some of the computations were done by Maple, and can be downloaded. Maple worksheet 1 computation for first piece of orbit; Maple worksheet 2 second piece of orbit; Maple worksheet 3 computation of ratios
-
Wi th Colin Sparrow and Christopher Harris, Fictitious Play in 3x3 Games: the transition between periodic and chaotic bahavior. Games and Economic Behavior 63, (2008), 259-291. Download maple worksheet clockwise orbit and maple worksheet anticlockwise orbit
- With Colin Sparrow, Dynamics associated to games (fictitious play) with chaotic behavior, in "Dynamics, Games and Science I", Editors Peixoto, Pinto and Rand. Springer Verlag 2011.
Stochastic Stability:
Network dynamics:
-
with Tiago Pereira and Matteo Tanzi, Heterogeneously Coupled Maps: hub dynamics and emergence across connectivity layers https://arxiv.org/abs/1704.06163.
J. Eur. Math. Soc. 22, 2183-2252, 2020.
with Deniz Eroglu, Matteo Tanzi and Tiago Pereira, Revealing Dynamics, Communities,
and Criticality from Data, Physical Review X 10, 021047 (2020)
- with Tiago Pereira and Edmilson Roque dos Santos, Robust reconstruction of sparse network dynamics, Submitted for publication.
Survey on One-dimensional Dynamics:
- with Weixiao Shen, Recent developments in interval dynamics. Proceedings of the International Congress of Mathematicians 2014, Seoul 2014, 699-719.
- One-dimensional dynamics in the new millennium, Discr. and Cont. Dyn. Syst. A. 27 (June 2010), 557-588.
-
Milnor's Conjecture on Monotonicity of Topological Entropy:
results and questions.
Frontiers in Complex Dynamics:In Celebration of John Milnor's 80th Birthday, Editor(s): Bonifant, Lyubich, Sutherland, Princeton University Press, ISBN:9780691159294
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:
-
with Henk Bruin, Monotonicity of entropy for real multimodal maps. Journal of AMS 28 (2015), 1-61.
-
Milnor's Conjecture on Monotonicity of Topological Entropy:
results and questions. Frontiers in complex dynamics (Celebrating John Milnor's 80th birthday), 323–337, Princeton Math. Ser., 51, Princeton Univ. Press, Princeton, NJ, 2014.
-
with Henk Bruin, On the structure of isentropes of polynomial maps, Dynamical Systems: An International Journal 28 (2013), 381-392
-
with Genadi Levin and Weixiao Shen,
Transversality for critical relations of families of rational maps: an elementary proof.
In: Pacifico M., Guarino P. (eds) New Trends in One-Dimensional Dynamics. Springer Proceedings in Mathematics & Statistics, vol 285. Springer, Cham.
-
with Genadi Levin and Weixiao Shen,
Monotonicity of entropy and positively oriented transversality for families of interval maps.
arXiv.org/abs/1611.10056
- with Genadi Levin and Weixiao Shen, Transversality in the setting of hyperbolic and parabolic maps, https:/ /arxiv.org/abs/1901.09941. J. Anal. Math. 141 (2020), no. 1, 247–284.
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, Arnold Mathematical Journal (2022) 8:319–410. 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,
A complete topological classification of Morse-Smale diffeomorphisms on surfaces: a kind of kneading theory in dimension two
|
