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Explore the intricacies of Hölder regularity in solutions to cohomological equations for Interval Exchange Transformations (IET's) in this 46-minute lecture by Stefano Marmi. Delve into the mathematical foundations and advanced concepts surrounding this topic, gaining insights into the properties and behaviors of these equations within the context of dynamical systems. Examine the implications of Hölder continuity on the solutions and understand how it relates to the broader field of ergodic theory and measure-preserving transformations.
