Complex Dynamics in the Tropics - Renormalization Hyperbolicity and Rigidity for Analytic Homeomorphisms of the Circle

Explore complex dynamics in the tropics through a 59-minute conference talk by M. Yampolsky on renormalization hyperbolicity and rigidity for analytic homeomorphisms of the circle. Delve into rigidity theorems, combinatorics, renormalization, and the challenges of analytic hyperbolicity and rigidity for analytic manifolds. Examine two-dimensional maps and biocubic maps as part of this presentation celebrating Carsten Lunde Petersen's 60th birthday. Gain insights from prominent researchers in the field during this international congress held at IMPA in Rio de Janeiro, discussing the state-of-the-art in complex dynamics.

Introduction
rigidity theorems
combinatorics
renormalization
difficulty
analytic
hyperbolicity
rigidity for analytic manifolds
hyperbolicity for analytic manifolds
biocubic maps
twodimensional maps