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STAFF
  Jeroen Lamb  
  Martin Rasmussen  
  Dmitry Turaev  
  Sebastian van Strien  
RESEARCHERS
Mike Field
POSTDOCS
Fabrizio Bianchi
Trevor Clark
Nikos Karaliolios
Dongchen Li
Sofia Trejo Abad
Paul Verschueren
Björn Winckler
PHD STUDENTS
Alex Athorne
Sajjad Bakrani Balani
Giulia Carigi
Andrew Clarke
Maximilian Engel
Federico Graceffa
Michael Hartl
Giuseppe Malavolta
Guillermo Olicón Méndez
Cezary Olszowiec
Christian Pangerl
Matteo Tanzi
Kalle Timperi
VISITORS
Shangzhi Li
Ole Peters
Cristina Sargent
Bill Speares
Kevin Webster
RELATED STAFF
Mauricio Barahona
Davoud Cheraghi
Darryl Holm
Greg Pavliotis


PUBLICATIONS




Complete List

BY SUBJECT
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Pattern formation
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Low-dimensional dynamical systems

Preprints
  • Davoud Cheraghi and Mitsuhiro Shishikura, Satellite renormalization of quadratic polynomials. DynamIC Preprint 2015-5
  • Weixiao Shen and Sebastian van Strien, Recent developments in interval dynamics, to appear in: Proceedings of the International Congress of Mathematicians 2014. DynamIC Preprint 2014-11
  • Davoud Cheraghi, Typical orbits of quadratic polynomials with a neutral fixed point: Non-Brjuno type. DynamIC Preprint 2013-7
  • Artur Avila and Davoud Cheraghi, Statistical properties of quadratic polynomials with a neutral fixed point. DynamIC Preprint 2013-6
2017
  • Trevor Clark, Sebastian van Strien, and Sofia Trejo, Complex bounds for real maps, Communications in Mathematical Physics 355, 3 (2017), 1001−1119. Article MathSciNet Preprint
2015
  • Vasso Anagnostopoulou, Tobias Jäger, and Gerhard Keller, A model for the nonautonomous Hopf bifurcation, Nonlinearity 28, 7 (2015), 2587−2616. MathSciNet Preprint
  • 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
2014
  • Alexander Gonchenko, Sergey V. Gonchenko, Alexey Kazakov, and Dmitry Turaev, Simple scenarios of onset of chaos in three-dimensional maps, International Journal of Bifurcation and Chaos 24, 8 (2014), 1440005, 25. Article MathSciNet Preprint
  • Sebastian van Strien, Milnor's conjecture on monotonicity of topological entropy: results and questions, in: Frontiers in complex dynamics, Princeton Mathematical Series, 323−337, Princeton University Press, Princeton, New Jersey, 2014. MathSciNet
2013
  • Henk Bruin and Sebastian van Strien, On the structure of isentropes of polynomial maps, Dynamical Systems 28, 3 (2013), 381−392. Article MathSciNet
  • 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
  • Julian Newman, Regularization of a disk in a frictionable wedge, in: Mathematical Modelling (Inge Troch and Felix Breitenecker), 830−835, Vienna University of Technology, Vienna, 2013. Article
  • Weixiao Shen and Sebastian van Strien, On stochastic stability of expanding circle maps with neutral fixed points, Dynamical Systems 28, 3 (2013), 423−452. Article MathSciNet
2012
  • Vasso Anagnostopoulou and Tobias Jäger, Nonautonomous saddle-node bifurcations: random and deterministic forcing, Journal of Differential Equations 253, 2 (2012), 379−399. Article MathSciNet
  • Gerson Florence, Tiago Pereira, and Jürgen Kurths, Extracellular potassium dynamics in the hyperexcitable state of the neuronal ictal activity, Communications in Nonlinear Science and Numerical Simulation 17, 12 (2012), 4700−4706. Article MathSciNet
2011
  • Stefan Liebscher, Jörg Härterich, Kevin N. Webster, and Marc Georgi, Ancient dynamics in Bianchi models: approach to periodic cycles, Communications in Mathematical Physics 305, 1 (2011), 59−83. 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
  • Dmitry Turaev, Diffeomorphisms which cannot be topologically conjugate to diffeomorphisms of a higher smoothness, Ergodic Theory and Dynamical Systems 31, 2 (2011), 563−569. Article MathSciNet
2010
  • Vassili Gelfreich and Dmitry Turaev, Universal dynamics in a neighborhood of a generic elliptic periodic point, Regular and Chaotic Dynamics 15, 2−3 (2010), 159−164. Article MathSciNet
  • Sebastian van Strien, One-parameter families of smooth interval maps: density of hyperbolicity and robust chaos, Proceedings of the American Mathematical Society 138, 12 (2010), 4443−4446. Article MathSciNet
  • Sebastian van Strien, One-dimensional dynamics in the new millennium, Discrete and Continuous Dynamical Systems A 27, 2 (2010), 557−588. Article MathSciNet
2009
  • Vítor Araújo, Stefano Luzzatto, and Marcelo Viana, Invariant measures for interval maps with critical points and singularities, Advances in Mathematics 221, 5 (2009), 1428−1444. Article MathSciNet
  • Katie Bloor and Stefano Luzzatto, Some remarks on the geometry of the standard map, International Journal of Bifurcation and Chaos 19, 7 (2009), 2213−2232. Article MathSciNet
  • 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
  • Christian Pötzsche and Martin Rasmussen, Hibernation prevents chaos: a logistic case study, in: Difference equations and applications (M. Bohner, Z. Doslá, G. Ladas, M. Ünal, A. Zafer), 259−274, Uğur-Bahçeşehir Univ. Publ. Co., Istanbul, 2009. 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
  • Yongluo Cao, Stefano Luzzatto, and Isabel Rios, The boundary of hyperbolicity for Hénon-like families, Ergodic Theory and Dynamical Systems 28, 4 (2008), 1049−1080. Article MathSciNet
  • Sarah Day, Hiroshi Kokubu, Stefano Luzzatto, Konstantin Mischaikow, Hiroe Oka, and Paveł Pilarczyk, Quantitative hyperbolicity estimates in one-dimensional dynamics, Nonlinearity 21, 9 (2008), 1967−1987. Article MathSciNet
2007
  • Oliver Butterley and Carlangelo Liverani, Smooth Anosov flows: correlation spectra and stability, Journal of Modern Dynamics 1, 2 (2007), 301−322. Article MathSciNet
  • Arek Goetz, Sebastian van Strien, and Franco Vivaldi, Special issue on geometric dynamics with singularities, Dynamical Systems 22, 1 (2007), 1. Article MathSciNet
  • Sergey V. Gonchenko, Dmitry Turaev, and Leonid P. Shilnikov, Homoclinic tangencies of arbitrarily high orders in conservative and dissipative two-dimensional maps, Nonlinearity 20, 2 (2007), 241−275. Article MathSciNet
  • 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
  • Tanya Schmah and Cristina Stoica, Saari's conjecture is true for generic vector fields, Transactions of the American Mathematical Society 359, 9 (2007), 4429−4448. Article MathSciNet
  • Sebastian van Strien and Edson Vargas, Erratum to: Real bounds, ergodicity and negative Schwarzian for multimodal maps, Journal of the American Mathematical Society 20, 1 (2007), 267−268. Article MathSciNet
2006
  • Henk Bruin and Stefano Luzzatto, Topological invariance of the sign of the Lyapunov exponents in one-dimensional maps, Proceedings of the American Mathematical Society 134, 1 (2006), 265−272. Article MathSciNet
  • 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
  • Yongluo Cao, Stefano Luzzatto, and Isabel Rios, Some non-hyperbolic systems with strictly non-zero Lyapunov exponents for all invariant measures: horseshoes with internal tangencies, Discrete and Continuous Dynamical Systems A 15, 1 (2006), 61−71. Article MathSciNet
  • Karla Díaz-Ordaz, Decay of correlations for non-Hölder observables for one-dimensional expanding Lorenz-like maps, Discrete and Continuous Dynamical Systems A 15, 1 (2006), 159−176. Article MathSciNet
  • Karla Díaz-Ordaz, Mark P. Holland, and Stefano Luzzatto, Statistical properties of one-dimensional maps with critical points and singularities, Stochastics and Dynamics 6, 4 (2006), 423−458. Article MathSciNet
  • Sergey V. Gonchenko, Dmitry Turaev, and Leonid P. Shilnikov, Homoclinic tangencies of arbitrary order in conservative two-dimensional mappings, Rossiĭskaya Akademiya Nauk. Doklady Akademii Nauk 407, 3 (2006), 299−303. MathSciNet
  • Mark P. Holland and Stefano Luzzatto, Stable manifolds under very weak hyperbolicity conditions, Journal of Differential Equations 221, 2 (2006), 444−469. Article MathSciNet
  • Tobias H. Jäger and Jaroslav Stark, Towards a classification for quasiperiodically forced circle homeomorphisms, Journal of the London Mathematical Society 73, 3 (2006), 727−744. Article MathSciNet
  • Stefano Luzzatto, Stochastic-like behaviour in nonuniformly expanding maps, in: Handbook of Dynamical Systems. Vol. 1B, 265−326, Elsevier, Amsterdam, 2006. Article MathSciNet
  • Stefano Luzzatto and Hiroki Takahasi, Computable conditions for the occurrence of non-uniform hyperbolicity in families of one-dimensional maps, Nonlinearity 19, 7 (2006), 1657−1695. Article MathSciNet
  • Stefano Luzzatto and Lanyu Wang, Topological invariance of generic non-uniformly expanding multimodal maps, Mathematical Research Letters 13, 2−3 (2006), 343−357. Article MathSciNet
2005
  • José F. Alves, Stefano Luzzatto, and Vilton Pinheiro, Markov structures and decay of correlations for non-uniformly expanding dynamical systems, Annales de l'Institut Henri Poincaré. Analyse Non Linéaire 22, 6 (2005), 817−839. Article MathSciNet
  • Mark P. Holland and Stefano Luzzatto, A new proof of the stable manifold theorem for hyperbolic fixed points on surfaces, Journal of Difference Equations and Applications 11, 6 (2005), 535−551. Article MathSciNet
2004
  • José F. Alves, Stefano Luzzatto, and Vilton Pinheiro, Lyapunov exponents and rates of mixing for one-dimensional maps, Ergodic Theory and Dynamical Systems 24, 3 (2004), 637−657. Article MathSciNet
  • Yongluo Cao, Stefano Luzzatto, and Isabel Rios, A minimum principle for Lyapunov exponents and a higher-dimensional version of a theorem of Ma\~né, Qualitative Theory of Dynamical Systems 5, 2 (2004), 261−273. Article MathSciNet
  • 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
2003
  • José F. Alves, Stefano Luzzatto, and Vilton Pinheiro, Markov structures for non-uniformly expanding maps on compact manifolds in arbitrary dimension, Electronic Research Announcements of the American Mathematical Society 9(2003), 26−31. Article MathSciNet
  • Henk Bruin, Stefano Luzzatto, and Sebastian van Strien, Decay of correlations in one-dimensional dynamics, Annales Scientifiques de l'École Normale Supérieure. Quatrième Série 36, 4 (2003), 621−646. Article MathSciNet
  • Henk Bruin, Weixiao Shen, and Sebastian van Strien, Invariant measures exist without a growth condition, Communications in Mathematical Physics 241, 2−3 (2003), 287−306. MathSciNet
  • Henk Bruin and Sebastian van Strien, Expansion of derivatives in one-dimensional dynamics, Israel Journal of Mathematics 137(2003), 223−263. Article MathSciNet
  • Jaroslav Stark, Transitive sets for quasi-periodically forced monotone maps, Dynamical Systems 18, 4 (2003), 351−364. Article MathSciNet
  • Dmitry Turaev, Polynomial approximations of symplectic dynamics and richness of chaos in non-hyperbolic area-preserving maps, Nonlinearity 16, 1 (2003), 123−135. Article MathSciNet
  • Kevin N. Webster and John N. Elgin, Asymptotic analysis of the Michelson system, Nonlinearity 16, 6 (2003), 2149−2162. Article MathSciNet
2001
  • Henk Bruin and Sebastian van Strien, Existence of absolutely continuous invariant probability measures for multimodal maps, in: Global analysis of dynamical systems, 433−447, Inst. Phys., Bristol, 2001. MathSciNet
2000
  • Genadi Levin and Sebastian van Strien, Bounds for maps of an interval with one critical point of inflection type. II, Inventiones Mathematicae 141, 2 (2000), 399−465. Article MathSciNet
  • 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
  • Stefano Luzzatto, Bounded recurrence of critical points and Jakobson's theorem, in: The Mandelbrot set, theme and variations, London Mathematical Society Lecture Note Series, 173−210, Cambridge University Press, Cambridge, 2000. MathSciNet
  • Stefano Luzzatto and Marcelo Viana, Positive Lyapunov exponents for Lorenz-like families with criticalities, Astérisque , 261 (2000), 201−237. 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
  • Roza Galeeva and Sebastian van Strien, Which families of l-modal maps are full?, Transactions of the American Mathematical Society 348, 8 (1996), 3215−3221. 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
  • Jean-Marc Gambaudo, Sebastian van Strien, and Charles Tresser, Vers un ordre de Sarkovskiĭ pour les plongements du disque préservant l'orientation, Comptes Rendus de l'Académie des Sciences. Série I. Mathématique 310, 5 (1990), 291−294. MathSciNet
  • Marco Martens, Sebastian van Strien, Welington de Melo, and Pedro Mendes, On Cherry flows, Ergodic Theory and Dynamical Systems 10, 3 (1990), 531−554. Article MathSciNet
  • 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
  • Tomasz Nowicki and Sebastian van Strien, Hyperbolicity properties of C^2 multi-modal Collet-Eckmann maps without Schwarzian derivative assumptions, Transactions of the American Mathematical Society 321, 2 (1990), 793−810. Article MathSciNet
  • Sebastian van Strien, One-dimensional versus two-dimensional dynamics, in: Open problems in topology, 645−654, North-Holland, Amsterdam, 1990. 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
1989
  • Welington de Melo and Sebastian van Strien, A structure theorem in one-dimensional dynamics, Annals of Mathematics 129, 3 (1989), 519−546. Article MathSciNet
  • Jean-Marc Gambaudo, Sebastian van Strien, and Charles Tresser, The periodic orbit structure of orientation preserving diffeomorphisms on D^2 with topological entropy zero, Annales de l'Institut Henri Poincaré. Physique Théorique 50, 3 (1989), 335−356. Article MathSciNet
  • Jean-Marc Gambaudo, Sebastian van Strien, and Charles Tresser, Hénon-like maps with strange attractors: there exist C^\infty Kupka-Smale diffeomorphisms on S^2 with neither sinks nor sources, Nonlinearity 2, 2 (1989), 287−304. Article MathSciNet
1988
  • Welington de Melo and Sebastian van Strien, One-dimensional dynamics: the Schwarzian derivative and beyond, Bulletin of the American Mathematical Society 18, 2 (1988), 159−162. Article MathSciNet
  • Tomasz Nowicki and Sebastian van Strien, Absolutely continuous invariant measures for C^2 unimodal maps satisfying the Collet-Eckmann conditions, Inventiones Mathematicae 93, 3 (1988), 619−635. Article MathSciNet
  • Sebastian van Strien, Smooth dynamics on the interval (with an emphasis on quadratic-like maps), in: New directions in dynamical systems, London Math. Soc. Lecture Note Ser., 57−119, Cambridge Univ. Press, Cambridge, 1988. MathSciNet
1987
  • Welington de Melo and Sebastian van Strien, Diffeomorphisms on surfaces with a finite number of moduli, Ergodic Theory and Dynamical Systems 7, 3 (1987), 415−462. Article MathSciNet
1981
  • Sebastian van Strien, On the bifurcations creating horseshoes, in: Dynamical systems and turbulence, Lecture Notes in Mathematics, 316−351, Springer, Berlin, 1981. MathSciNet