Smooth Ergodic Theory of Higher Rank Abelian Actions

Dynamics Student Seminar

Meeting Details

For more information about this meeting, contact Donna Cepullio, Alp Uzman, Ignacio Correa Duran.

Speaker: Alp Uzman,

Abstract: We'll introduce differentiable dynamical systems with multidimensional abelian time. In this setting Oseledets Theorem provides existence of Lyapunov exponents that are better thought as linear maps, as opposed to simply numbers for dynamical systems with one dimensional time. We will discuss the suspension construction in this context, and how the arrangements of Lyapunov hyperplanes relate to entropy.


Room Reservation Information

Room Number: 106 McAllister

Date: 10/14/2021

Time: 5:30pm - 7:00pm