Utilisateur·rice

Serge • Troubetzkoy
Professeur (PR) • Affiliation : Aix-Marseille Université (AMU)
Site : Luminy • Bureau : 207 • Etage du bureau : 2 •

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Groupe(s) scientifiques(s) de l'utilisateur :
Thématiques scientifiques :
  • Informatique théorique, calculabilité
  • Mathématiques discrètes
  • Systèmes dynamiques mesurés
  • Systèmes dynamiques géométriques
  • Systèmes dynamiques symboliques

Publications HAL

2023/04 - Continuous Lebesgue measure-preserving maps on one-dimensional manifolds: a survey

2023/03 Proceedings of the American Mathematical Society - Topologically weakly mixing polygonal billiards

2023/03 - The horizontal chord set: to CIRM and back

2023/01 Ergodic Theory and Dynamical Systems - S-limit shadowing is generic for continuous Lebesgue measure preserving circle maps

2022/12 The Mathematical Intelligencer - CHESS BILLIARDS

2022/11 - AN UPPER BOUND ON TOPOLOGICAL ENTROPY OF THE BUNIMOVICH STADIUM BILLIARD MAP

2022/10 - ERGODIC MEASURES WITH INFINITE ENTROPY

2022/08 The American Mathematical Monthly - VERTEX TO VERTEX GEODESICS ON PLATONIC SOLIDS

2022/07 - Are generic dynamical properties stable under composition with rotations?

2022/05 Nonlinearity - PERIODIC POINTS AND SHADOWING PROPERTY FOR GENERIC LEBESGUE MEASURE PRESERVING INTERVAL MAPS

2020/10 Nonlinearity - Typical properties of interval maps preserving the Lebesgue measure

2020/04 Chaos, Solitons & Fractals - Probabilistic aspects of dynamical systems

2019/09 Nonlinearity - Invariant measures for typical continuous maps on manifolds

2019/08 - Unique ergodicity for infinite area Translation Surfaces

2019/06 - A BESICOVITCH-MORSE FUNCTION PRESERVING THE LEBESGUE MEASURE

2019/01 - The role of continuity and expansiveness on leo and periodic specification properties

2018/09 Nonlinearity - λ-stability of periodic billiard orbits

2018/04 Journal of the London Mathematical Society - On the Hausdorff dimension of minimal interval exchange transformations with flips

2018/03 Communications in Mathematical Physics - Infinite ergodic index of the ehrenfest wind-tree model

2017/05 - PSEUDO-PHYSICAL MEASURES FOR TYPICAL CONTINUOUS MAPS OF THE INTERVAL

2017/04 Geometriae Dedicata - Residual generic ergodicity of periodic group extensions over translation surfaces

2017/01 Bulletin of the London Mathematical Society - WEAK-MIXING POLYGONAL BILLIARDS

2016/02 Stochastics and Dynamics - Multiple mixing from weak hyperbolicity by the Hopf argument

2016/01 Comptes Rendus. Mathématique - Ergodicity of the Ehrenfest wind-tree model

2016/01 Journal of modern dynamics - MINIMALITY OF THE EHRENFEST WIND-TREE MODEL

2015/08 Nonlinearity - ENTROPY AND COMPLEXITY OF POLYGONAL BILLIARDS WITH SPY MIRRORS

2015/01 Annales de l'Institut Fourier - POLYGONAL BILLIARDS WITH ONE SIDED SCATTERING

2014/08 Topology and its Applications - Homotopical rigidity of polygonal billiards

2013/06 Discrete and Continuous Dynamical Systems - Series A - Ergodicity of certain cocycles over certain interval exchanges

2013/01 Nonlinearity - Orbit structure of interval exchange transformations with flip

2013/01 Proceedings of the London Mathematical Society - A multifractal mass transference principle for Gibbs measures with applications to dynamical Diophantine approximation

2012/10 Journal of modern dynamics - Ergodic infinite group extensions of geodesic flows on translation surfaces

2012/03 Discrete and Continuous Dynamical Systems - Series A - Recurrence in generic staircases

2012/01 Topology and its Applications - Code & order in polygonal billiards

2011/06 Physica D: Nonlinear Phenomena - Infinite-horizon Lorentz tubes and gases: recurrence and ergodic properties

2011/05 Discrete Math. - Coding discretizations of continuous functions

2011/03 Journal für die reine und angewandte Mathematik - The Ehrenfest wind-tree model: periodic directions, recurrence, diffusion

2011/01 Fund. Math. - Does a billiard orbit determine its (polygonal) table?

2011/01 Ergodic Theory and Dynamical Systems - TOPOLOGICAL AND SYMBOLIC DYNAMICS FOR HYPERBOLIC SYSTEMS WITH HOLES

2010/08 Journal of Statistical Physics - TYPICAL RECURRENCE FOR THE EHRENFEST WIND-TREE MODEL

2009/01 - Approximation and billiards

2009/01 The American Mathematical Monthly - Dual billiards, Fagnano orbits and regular polygons

2008/01 Communications in Mathematical Physics - Quantisations of piecewise affine maps on the torus and their quantum limits

2008/01 International Mathematics Research Notices - Modular Fibers And Illumination Problems

2005/11 - Periodic billiard orbits in right triangles II

2005/01 Annales de l'Institut Fourier - Periodic billiard orbits in right triangle

2004/01 - Central symmetries of periodic billiard orbits in right triangles

2004/01 Journal of Statistical Physics - Rotor interaction in the annulus billiard

2004/01 Nonlinearity - Ergodicity of two hard balls in integrable polygons

2003/01 Matematicheski Sbornik - Inhomogeneous Diophantine Approximation and Angular Recurrence for Polygonal Billiards

2003/01 Moscow Mathematical Journal - Recurrence and lyapunov exponents

2002/01 Journal of Statistical Physics - Recurrence, dimensions and Lyapunov exponents

2002/01 Annales de l'Institut Fourier - Complexity and growth for polygonal billiards


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