Conforming Dynamics in the Metric Spaces

摘要

This work is devoted to conformal dynamics in metric spaces, it consists of two parts, the first concerning hyperbolic groups, and the second is the iteration of branched coatings in topological spaces. These two parts are linked by D. Sullivan's dictionary. We chose to orient the exhibition taking the conjecture of J. W. Cannon as breadcrumb. The object of this work has been to analyze these different methods to understand to what extent they were different than D. Sullivan [28].