Title of Seminar: Infosys Chandrasekharan Random Geometry Colloquium
Title of Talk: An introduction to Random walks on Homogeneous spaces
Speaker: Gaurav Aggarwal, TIFR, Mumbai
Date: April 24, 2024
Time: 15:30:00 Hours
Venue: A-369
Abstract: In this talk, I will discuss the basic definitions of random walk on homogeneous spaces. I will start discussing it by comparing it with deterministic walk (Ergodic Theory) and discuss the analogy between them. Then I will discuss the forward and backward dynamical systems. This will translate the discussion of the random walk into a deterministic walk. As a consequence, results from Ergodic theory can be applied. The construction will require some discussion on conditional measures and Doob's Martingale theorem. I will conclude the talk by giving a proof of Brieman's Law of Large numbers.
Title of Talk: An introduction to Random walks on Homogeneous spaces
Speaker: Gaurav Aggarwal, TIFR, Mumbai
Date: April 24, 2024
Time: 15:30:00 Hours
Venue: A-369
Abstract: In this talk, I will discuss the basic definitions of random walk on homogeneous spaces. I will start discussing it by comparing it with deterministic walk (Ergodic Theory) and discuss the analogy between them. Then I will discuss the forward and backward dynamical systems. This will translate the discussion of the random walk into a deterministic walk. As a consequence, results from Ergodic theory can be applied. The construction will require some discussion on conditional measures and Doob's Martingale theorem. I will conclude the talk by giving a proof of Brieman's Law of Large numbers.