3 citations · 6 across the 8 of their papers we have counts for
8 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…
Area preserving homeomorphisms of surfaces with rational rotational direction
Pierre-Antoine Guihéneuf, Patrice Le Calvez, Alejandro Passeggi
Let be a closed surface of genus , furnished with a Borel probability measure with total support. We show that if is a -preserving homeomorphism isotopic to…
Twist maps of the annulus: an abstract point of view
Patrice Le Calvez
We introduce the notion of abstract angle at a couple of points defined by two radial foliations of the closed annulus. We use this notion to give unified proofs of some classical…
Conservative surface homeomorphisms with finitely many periodic points
Patrice Le Calvez
The goal of the article is to characterize the conservative homeomorphisms of a closed orientable surface of genus , that have finitely many periodic points. By conserv…
Homoclinic orbits for area preserving diffeomorphisms
Patrice Le Calvez, Martin Sambarino
We show that C^r generically in the space of C^r conservative diffeomorphisms of a compact surface, every hyperbolic periodic point has a transverse homoclinic orbit