Propriétés dynamiques génériques des homéomorphismes conservatifs

Abstract

This memoir is concerned with the generic dynamical properties of conservative homeomorphisms of compact manifolds. Several important techniques allowing to prove genericity results are presented: we emphasize the important role played by periodic approximations of homeomorphisms, and by the embedding of the space of homeomorphisms in the space of bi-measurable automorphisms.

vi+113 pages, in french; Ensaios Matematicos 22. Sociedade Brasileira de Matematica, Rio de Janeiro, 2012