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4 papers · 1 filter
Periodic billiard orbits in right triangles II
Serge Troubetzkoy
Periodic billiard orbits are dense in the phase space of an irrational right triangle. A stronger pointwise density result is also proven.
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.