Frédéric Le Roux

There is no minimal action of 2 on the plane

In this paper it is proved that there is no minimal action (i.e. every orbit is dense) of Z^2 on the plane. The proof uses the non-existence of minimal homeomorphisms on the infinite annulus (Le Calvez-Yoccozs theorem), and the theory of Brouwer homeomorphisms.

Free planar actions of the Klein bottle group

We describe the structure of the free actions of the Klein bottle group by orientation preserving homeomorphisms of the plane. This group is generated by two elements

CONSTRUCTION OF CURIOUS MINIMAL UNIQUELY ERGODIC HOMEOMORPHISMS ON MANIFOLDS: THE DENJOY-REES TECHNIQUE

a,b

Ensemble oscillant d'un homéomorphisme de Brouwer, homéomorphismes de Reeb

, where the conjugate of

Bounded recurrent sets for planar homeomorphisms

b

A topological characterization of holomorphic parabolic germs in the plane

by

Classes de conjugaison des flots du plan topologiquement équivalents au flot de Reeb

a

Simplicity of homeo(D2, ∂D2, Area) and fragmentation of symplectic diffeomorphisms

equals the inverse of

Structure des homeomorphismes de Brouwer

b

Migration des points errants d'un homéomorphisme de surface

. The main result is that