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math.DS2023
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…
math.DS2023★ 1 cited
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…
math.DS2023
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…