Utilisateur·rice
- Accueil
- 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
2022/11 – AN UPPER BOUND ON TOPOLOGICAL ENTROPY OF THE BUNIMOVICH STADIUM BILLIARD MAP2022/10 – ERGODIC MEASURES WITH INFINITE ENTROPY
2022/08 – VERTEX TO VERTEX GEODESICS ON PLATONIC SOLIDS
2022/07 – Are generic dynamical properties stable under composition with rotations?
2022/03 – PERIODIC POINTS AND SHADOWING PROPERTY FOR GENERIC LEBESGUE MEASURE PRESERVING INTERVAL MAPS
2021/04 – S-limit shadowing is generic for continuous Lebesgue measure preserving circle maps
2020/10 Nonlinearity – Typical properties of interval maps preserving the Lebesgue measure
2020/07 – CHESS BILLIARDS
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
2017/02 – Topologically weakly mixing polygonal billiards
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 The American Mathematical Monthly – Dual billiards, Fagnano orbits and regular polygons
2009/01 – Approximation and billiards
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