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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

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.