Publications – Dynamical Systems at Imperial College London (DynamIC)

Trevor Clark and Sebastian van Strien, Quasisymmetric rigidity in one-dimensional dynamics. DynamIC Preprint 2018-10
Fabrizio Bianchi and Yusuke Okuyama, Degeneration of quadratic polynomial endomorphisms to a Hénon map, to appear in: Indiana University Mathematical Journal. DynamIC Preprint 2018-5
Matthieu Astorg and Fabrizio Bianchi, Bifurcations in families of polynomial skew products. DynamIC Preprint 2018-1
Davoud Cheraghi and Mitsuhiro Shishikura, Satellite renormalization of quadratic polynomials. DynamIC Preprint 2015-5

2022

Trevor Clark, Kostiantyn Drach, Oleg Kozlovski, and Sebastian van Strien, The dynamics of complex box mappings, Arnold Mathematical Journal 8, 2 (2022), 319−410. Article MathSciNet

2020

Genadi Levin, Weixiao Shen, and Sebastian van Strien, Transversality in the setting of hyperbolic and parabolic maps, Journal d'Analyse Mathématique 141, 1 (2020), 247−284. Article MathSciNet

2019

Fabrizio Bianchi, Misiurewicz parameters and dynamical stability of polynomial-like maps of large topological degree, Mathematische Annalen 373, 3−4 (2019), 901−928. Article MathSciNet Preprint
Davoud Cheraghi, Typical orbits of quadratic polynomials with a neutral fixed point: non-Brjuno type, Annales Scientifiques de l'École Normale Supérieure. Quatrième Série 52, 1 (2019), 59−138. MathSciNet Preprint

2018

Artur Avila and Davoud Cheraghi, Statistical properties of quadratic polynomials with a neutral fixed point, Journal of the European Mathematical Society (JEMS) 20, 8 (2018), 2005−2062. Article MathSciNet Preprint
François Berteloot and Fabrizio Bianchi, Perturbations d'exemples de Lattès et dimension de Hausdorff du lieu de bifurcation, Journal de Mathématiques Pures et Appliquées. Neuvième Série 116(2018), 161−173. Article MathSciNet Preprint
François Berteloot and Fabrizio Bianchi, Stability and bifurcations in projective holomorphic dynamics, in: Dynamical systems, Banach Center Publ., 37−71, Polish Acad. Sci. Inst. Math., Warsaw, 2018. MathSciNet Preprint

2015

Henk Bruin and Sebastian van Strien, Monotonicity of entropy for real multimodal maps, Journal of the American Mathematical Society 28, 1 (2015), 1−61. Article MathSciNet
Davoud Cheraghi and Arnaud Chéritat, A proof of the Marmi-Moussa-Yoccoz conjecture for rotation numbers of high type, Inventiones Mathematicae 202, 2 (2015), 677−742. MathSciNet Preprint
Lasse Rempe-Gillen and Sebastian van Strien, Density of hyperbolicity for classes of real transcendental entire functions and circle maps, Duke Mathematical Journal 164, 6 (2015), 1079−1137. Article MathSciNet

2014

Weixiao Shen and Sebastian van Strien, Recent developments in interval dynamics, in: Proceedings of the International Congress of Mathematicians Seoul 2014, Volume III, 699−719, Kyung Moon Sa, Seoul, 2014. MathSciNet Preprint

2013

Davoud Cheraghi, Typical orbits of quadratic polynomials with a neutral fixed point: Brjuno type, Communications in Mathematical Physics 322, 3 (2013), 999−1035. Article MathSciNet

2011

Alexandre Eremenko and Sebastian van Strien, Rational maps with real multipliers, Transactions of the American Mathematical Society 363, 12 (2011), 6453−6463. Article MathSciNet
Lasse Rempe and Sebastian van Strien, Absence of line fields and Mañé's theorem for nonrecurrent transcendental functions, Transactions of the American Mathematical Society 363, 1 (2011), 203−228. Article MathSciNet

2010

Sebastian van Strien, One-dimensional dynamics in the new millennium, Discrete and Continuous Dynamical Systems A 27, 2 (2010), 557−588. Article MathSciNet

2009

Oleg Kozlovski and Sebastian van Strien, Local connectivity and quasi-conformal rigidity of non-renormalizable polynomials, Proceedings of the London Mathematical Society 99, 2 (2009), 275−296. Article MathSciNet

2008

Henk Bruin, Juan Rivera-Letelier, Weixiao Shen, and Sebastian van Strien, Large derivatives, backward contraction and invariant densities for interval maps, Inventiones Mathematicae 172, 3 (2008), 509−533. Article MathSciNet

2007

Oleg Kozlovski, Weixiao Shen, and Sebastian van Strien, Density of hyperbolicity in dimension one, Annals of Mathematics 166, 1 (2007), 145−182. Article MathSciNet
Oleg Kozlovski, Weixiao Shen, and Sebastian van Strien, Rigidity for real polynomials, Annals of Mathematics 165, 3 (2007), 749−841. Article MathSciNet

2006

Henk Bruin, Weixiao Shen, and Sebastian van Strien, Existence of unique SRB-measures is typical for real unicritical polynomial families, Annales Scientifiques de l'École Normale Supérieure. Quatrième Série 39, 3 (2006), 381−414. Article MathSciNet

2004

Sebastian van Strien and Edson Vargas, Real bounds, ergodicity and negative Schwarzian for multimodal maps, Journal of the American Mathematical Society 17, 4 (2004), 749−782 (electronic). Article MathSciNet

2000

Genadi Levin and Sebastian van Strien, Total disconnectedness of Julia sets and absence of invariant linefields for real polynomials, Astérisque , 261 (2000), xii, 161−172. MathSciNet
Sebastian van Strien, Misiurewicz maps unfold generically (even if they are critically non-finite), Fundamenta Mathematicae 163, 1 (2000), 39−54. MathSciNet

1998

Genadi Levin and Sebastian van Strien, Local connectivity of the Julia set of real polynomials, Annals of Mathematics 147, 3 (1998), 471−541. Article MathSciNet

1996

Henk Bruin, Gerhard Keller, Tomasz Nowicki, and Sebastian van Strien, Wild Cantor attractors exist, Annals of Mathematics 143, 1 (1996), 97−130. Article MathSciNet
Sebastian van Strien, Transitive maps which are not ergodic with respect to Lebesgue measure, Ergodic Theory and Dynamical Systems 16, 4 (1996), 833−848. Article MathSciNet

1995

Sebastian van Strien, Real bounds in complex dynamics, in: Real and complex dynamical systems, NATO Adv. Sci. Inst. Ser. C Math. Phys. Sci., 211−229, Kluwer Acad. Publ., Dordrecht, 1995. MathSciNet

1993

Welington de Melo and Sebastian van Strien, One-dimensional dynamics, Ergebnisse der Mathematik und ihrer Grenzgebiete 25, Springer, Berlin, 1993. MathSciNet

1992

Marco Martens, Welington de Melo, and Sebastian van Strien, Julia-Fatou-Sullivan theory for real one-dimensional dynamics, Acta Mathematica 168, 3−4 (1992), 273−318. Article MathSciNet

1991

Henk Broer, Freddy Dumortier, Sebastian van Strien, and Floris Takens, Structures in dynamics, Studies in Mathematical Physics 2, North-Holland Publishing Co., Amsterdam, 1991. MathSciNet
Tomasz Nowicki and Sebastian van Strien, Invariant measures exist under a summability condition for unimodal maps, Inventiones Mathematicae 105, 1 (1991), 123−136. Article MathSciNet

1990

Tomasz Nowicki and Sebastian van Strien, Nonhyperbolicity and invariant measures for unimodal maps, Annales de l'Institut Henri Poincaré. Physique Théorique 53, 4 (1990), 427−429. Article MathSciNet
Sebastian van Strien, Hyperbolicity and invariant measures for general C^2 interval maps satisfying the Misiurewicz condition, Communications in Mathematical Physics 128, 3 (1990), 437−495. Article MathSciNet