2 citations · 3 across the 4 of their papers we have counts for
4 papers
The asymptotic mean action and the asymptotic linking number for pseudo-rotations
David Bechara Senior, Patrice Le Calvez, Abror Pirnapasov
We establish that the asymptotic mean action and the asymptotic linking number of irrational pseudo-rotations remain well-defined everywhere and constant for every irration…
Non contractible periodic orbits for generic hamiltonian diffeomorphisms of surfaces
Patrice Le Calvez, Martin Sambarino
Let be a closed surface of genus , furnished with an area form . We show that there exists an open and dense set of the space of Hamiltonian diffeo…
A finite dimensional proof of a result of Hutchings about irrational pseudo-rotations
Patrice Le Calvez
We prove that the Calabi invariant of a pseudo-rotation of the unit disk, that coincides with a rotation on the unit circle, is equal to its rotation number. This result has…
A periodicity criterion and the section problem on the Mapping Class Group
Patrice Le Calvez
Some years ago, V. Markovic proved that there is no section of the Mapping Class Group for a closed surface of genus g larger than 5 (in the case of homeomorphims) and more recentl…