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Recurrence and lyapunov exponents

B. Saussol , Serge Troubetzkoy , S. Vaienti
Moscow Mathematical Journal, 2003, 3 (1), pp.189-203
Article dans une revue hal-00012245v1
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Homotopical rigidity of polygonal billiards

Jozef Bobok , Serge Troubetzkoy
Topology and its Applications, 2014, 173, pp.308-324. ⟨10.1016/j.topol.2014.06.003⟩
Article dans une revue hal-00700476v1
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PERIODIC POINTS AND SHADOWING PROPERTY FOR GENERIC LEBESGUE MEASURE PRESERVING INTERVAL MAPS

Jozef Bobok , Jernej Činč , Piotr Oprocha , Serge Troubetzkoy
Nonlinearity, 2022, 35 (5), pp.2535-2558. ⟨10.1088/1361-6544/ac62df⟩
Article dans une revue hal-03181370v3
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VERTEX TO VERTEX GEODESICS ON PLATONIC SOLIDS

Serge Troubetzkoy
The American Mathematical Monthly, 2022, pp.379-382. ⟨10.1080/00029890.2023.2172298⟩
Article dans une revue hal-03563408v3
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Typical properties of interval maps preserving the Lebesgue measure

Jozef Bobok , Serge Troubetzkoy
Nonlinearity, 2020
Article dans une revue hal-02156804v2
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λ-stability of periodic billiard orbits

José Pedro Gaivão , Serge Troubetzkoy
Nonlinearity, 2018, 31 (9), pp.4326-4353. ⟨10.1088/1361-6544/aacc47⟩
Article dans une revue hal-01400339v1

Rotor interaction in the annulus billiard

Serge Troubetzkoy , Peter Balint
Journal of Statistical Physics, 2004, 117 (3-4), pp.681-702
Article dans une revue hal-00002830v1

Orbit structure of interval exchange transformations with flip

Arnaldo Nogueira , Benito Pires , Serge Troubetzkoy
Nonlinearity, 2013, 26 (2), pp.525-537. ⟨10.1088/0951-7715/26/2/525⟩
Article dans une revue hal-00965040v1
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Ergodicity of certain cocycles over certain interval exchanges

David Ralston , Serge Troubetzkoy
Discrete and Continuous Dynamical Systems - Series A, 2013, 33 (6), pp.2523-2529. ⟨10.3934/dcds.2013.33.2523⟩
Article dans une revue hal-00639964v2
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Invariant measures for typical continuous maps on manifolds

Eleonora Catsigeras , Serge Troubetzkoy
Nonlinearity, 2019, 10, pp.3981-4001
Article dans une revue hal-01915783v1
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On the Hausdorff dimension of minimal interval exchange transformations with flips

Alexandra Skripchenko , Serge Troubetzkoy
Journal of the London Mathematical Society, 2018, 97, pp.149-169. ⟨10.1112/jlms.12099⟩
Article dans une revue hal-01213473v2
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Periodic billiard orbits in right triangles II

Serge Troubetzkoy
2005
Pré-publication, Document de travail hal-00005014v2
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Quantisations of piecewise affine maps on the torus and their quantum limits

Cheng-Hung Chang , Tyll Krueger , Roman Schubert , Serge Troubetzkoy
Communications in Mathematical Physics, 2008, 282 (2), pp.395-418
Article dans une revue hal-00142663v1

Recurrence, dimensions and Lyapunov exponents

B. Saussol , Serge Troubetzkoy , S. Vaienti
Journal of Statistical Physics, 2002, 106, pp.623-634
Article dans une revue hal-00113005v1

Are generic dynamical properties stable under composition with rotations?

Jozef Bobok , Jernej Činč , Piotr Oprocha , Serge Troubetzkoy
2022
Pré-publication, Document de travail hal-03728857v1
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The role of continuity and expansiveness on leo and periodic specification properties

Serge Troubetzkoy , Paulo Varandas
CIRM Jean-Morlet Chair, Fall 2019, 2019, Marseille, France
Communication dans un congrès hal-02557857v2
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Code & order in polygonal billiards

Jozef Bobok , Serge Troubetzkoy
Topology and its Applications, 2012, 159 (1), pp.236-247. ⟨10.1016/j.topol.2011.09.007⟩
Article dans une revue hal-00567488v1

Modular Fibers And Illumination Problems

Pascal Hubert , Martin Schmoll , Serge Troubetzkoy
International Mathematics Research Notices, 2008, 8, Art. ID rnn011, 42 pp. ⟨10.1093/imrn/rnn011⟩
Article dans une revue hal-00362166v1
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Approximation and billiards

Serge Troubetzkoy
Dynamical systems and Diophantine approximation, 2009, Paris, France. pp.173-185
Communication dans un congrès hal-00115001v2
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MINIMALITY OF THE EHRENFEST WIND-TREE MODEL

Alba Málaga Sabogal , Serge Troubetzkoy
Journal of modern dynamics, 2016, ⟨10.3934/jmd.2016.10.209⟩
Article dans une revue hal-01158924v2
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Continuous Lebesgue measure-preserving maps on one-dimensional manifolds: a survey

Jozef Bobok , Jernej Činč , Piotr Oprocha , Serge Troubetzkoy
2023
Pré-publication, Document de travail hal-04055647v1
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CHESS BILLIARDS

Arnaldo Nogueira , Serge Troubetzkoy
The Mathematical Intelligencer, 2022, 44 (4), pp.331-338. ⟨10.1007/s00283-021-10150-1⟩
Article dans une revue hal-02909233v1
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Dual billiards, Fagnano orbits and regular polygons

Serge Troubetzkoy
The American Mathematical Monthly, 2009, 116, pp.251-260
Article dans une revue hal-00139790v3
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Residual generic ergodicity of periodic group extensions over translation surfaces

David Ralston , Serge Troubetzkoy
Geometriae Dedicata, 2017, 187 (1), pp.219-239. ⟨10.1007/s10711-016-0198-5⟩
Article dans une revue hal-01006475v1
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ENTROPY AND COMPLEXITY OF POLYGONAL BILLIARDS WITH SPY MIRRORS

Alexandra Skripchenko , Serge Troubetzkoy
Nonlinearity, 2015, 28 (9), pp.14
Article dans une revue hal-01105008v2
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POLYGONAL BILLIARDS WITH ONE SIDED SCATTERING

Alexandra Skripchenko , Serge Troubetzkoy
Annales de l'Institut Fourier, 2015, 65 (5), pp.16
Article dans une revue hal-00835455v2
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A multifractal mass transference principle for Gibbs measures with applications to dynamical Diophantine approximation

Ai-Hua Fan , Joerg Schmeling , Serge Troubetzkoy
Proceedings of the London Mathematical Society, 2013, 107 (5), pp.1173-1219. ⟨10.1112/plms/pdt005⟩
Article dans une revue hal-00150085v1
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TOPOLOGICAL AND SYMBOLIC DYNAMICS FOR HYPERBOLIC SYSTEMS WITH HOLES

Serge Troubetzkoy , Tyll Krueger , Stefan Bundfuss
Ergodic Theory and Dynamical Systems, 2011, 31 (05), pp.1305-1323. ⟨10.1017/S0143385710000556⟩
Article dans une revue hal-00477064v1
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Multiple mixing from weak hyperbolicity by the Hopf argument

Yves Coudène , Boris Hasselblatt , Serge Troubetzkoy
Stochastics and Dynamics, 2016, 16 (02), pp.15. ⟨10.1142/S0219493716600030⟩
Article dans une revue hal-01006451v3
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Recurrence in generic staircases

Serge Troubetzkoy
Discrete and Continuous Dynamical Systems - Series A, 2012, 32 (3), pp.1047-1053. ⟨10.3934/dcds.2012.32.1047⟩
Article dans une revue hal-00480006v2