P. le Calvez

activity

19972022

most citedForcing theory for transverse trajectories of surface homeomorphisms

46 citations · 119 across the 10 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.DS2015★ 7 cited

On mixing diffeomorphisms of the disk

A. Avila, B. Fayad, P. Le Calvez +2

We prove that a real analytic pseudo-rotation $f$ of the disc or the sphere is never topologically mixing. When the rotation number of $f$ is of Brjuno type, the latter follows fro…

math.DS2015

Rational Mode Locking for Homeomorphisms of the 2-Torus

Patrice Le Calvez, Salvador Addas-Zanata

Let $f : T^{2} \to T^{2}$ be a homeomorphism homotopic to the identity, $f : I R^{2} \to I R^{2}$ be a fixed lift a…

math.DS2015★ 46 cited

Forcing theory for transverse trajectories of surface homeomorphisms

Patrice Le Calvez, Fabio Armando Tal

This paper studies homeomorphisms of surfaces isotopic to the identity by means of purely topological methods and Brouwer theory. The main development is a novel theory of orbit fo…