The approximation by conjugation method in smooth ergodic theory

by Dr Shilpak Banerjee (IIT Tirupati)

Thursday 22 Sept 2022, 14:00 → 15:00 Asia/Kolkata

Math. Seminar Room (A-369)

Abstract: In 1969 D.V. Anosov and A. Katok came up with a recipe, now known as the 'approximation by conjugation' method or the 'Anosov-Katok' method to construct examples of smooth transformations in ergodic theory. Though these diffeomorphisms are often viewed as "exotic if not pathological", they have managed to gain a considerable amount of attention in recent years, specially in regards to the isomorphism problems, smooth realization problems, and many other problems from classical smooth ergodic theory. In this talk we will have a description of this technique and talk about some applications.