Title of Seminar: Infosys Chandrasekharan Random Geometry Colloquium
Title of Talk: Conformal expanding repellers and Bowen?s dimension formula
Speaker: Rashmita Hore, TIFR, Mumbai
Date: April 18, 2024
Time: 15:30:00 Hours
Venue: A-369
Abstract: A conformal expanding repeller is a dynamical system, in which the underlying phase space is a domain in the complex plane and the dynamics is given by a conformal expanding map. The main goal of dimension theory of dynamical systems is to study the ?size? of certain dynamically relevant sets, for example, those on which dynamics is concentrated like repellers (chaotic dynamics) or attractors (tame dynamics). In this talk, we will introduce conformal expanding repellers and illustrate some examples by converting their dynamics to that of sub-shifts on a symbolic space. The objective would be to describe a method, developed by Bowen and Ruelle, to compute the Hausdorff dimension of conformal repellers, using tools from ergodic theory and thermodynamical formalism.
Title of Talk: Conformal expanding repellers and Bowen?s dimension formula
Speaker: Rashmita Hore, TIFR, Mumbai
Date: April 18, 2024
Time: 15:30:00 Hours
Venue: A-369
Abstract: A conformal expanding repeller is a dynamical system, in which the underlying phase space is a domain in the complex plane and the dynamics is given by a conformal expanding map. The main goal of dimension theory of dynamical systems is to study the ?size? of certain dynamically relevant sets, for example, those on which dynamics is concentrated like repellers (chaotic dynamics) or attractors (tame dynamics). In this talk, we will introduce conformal expanding repellers and illustrate some examples by converting their dynamics to that of sub-shifts on a symbolic space. The objective would be to describe a method, developed by Bowen and Ruelle, to compute the Hausdorff dimension of conformal repellers, using tools from ergodic theory and thermodynamical formalism.