715 citations
- Centre National de la Recherche ScientifiqueFR184 papers
- École PolytechniqueFR127 papers
- Aix-Marseille UniversitéFR71 papers
- Université de ToulonFR69 papers
- Laboratoire de Physique ThéoriqueFR18 papers
- National Centre for Nuclear ResearchPL17 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR16 papers
- Université Paris-SudFR14 papers
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- Center for Pastor TheologiansUS12 papers
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- University of LiègeBE12 papers
5 papers · 2 filters
The Gauss map on a class of interval translation mappings
H. Bruin, S. Troubetzkoy
We study the dynamics of a class of interval translation map on three intervals. We show that in this class the typical ITM is of finite type (reduce to an interval exchange transf…
Projection of Markov measures may be Gibbsian
J. -R. Chazottes, E. Ugalde
We study the induced measure obtained from a 1-step Markov measure, supported by a topological Markov chain, after the mapping of the original alphabet onto another one. We give su…
Integrability, hyperbolic flows and the Birkhoff normal form
M. Rouleux
We prove that a Hamiltonian is locally integrable near a non-degenerate critical point of the energy, provided that the fundamental matrix at $ρ…
Central symmetries of periodic billiard orbits in right triangles
S. Troubetzkoy
This paper had a serious error. In fixing the error the emphasis of the paper has changed completely, thus meriting a new name: ``Periodic orbits in right triangles''. I have made…
Recurrence and lyapunov exponents
B. Saussol, S. Troubetzkoy, S. Vaienti
We prove two inequalities between the Lyapunov exponents of a diffeomorphism and its local recurrence properties. We give examples showing that each of the inequalities is optimal.