Regularity of the cohomological equation for circle rotations
Speaker: Carlos Ospina (Utah)
Date: Thu, Apr 13, 2023
Location: Online, University of Utah
Conference: Online working seminar in Ergodic Theory
Subject: Mathematics
Class: Scientific
Date: Thu, Apr 13, 2023
Location: Online, University of Utah
Conference: Online working seminar in Ergodic Theory
Subject: Mathematics
Class: Scientific
Abstract:
Given an smooth function h, this talk will focus on solving the equation \psi(Rz)-\psi(z) = h(z) for circle rotations. We will see how the Diophantine condition on the rotation implies smooth solutions.