Probability Seminar: Mathav Murugan
Topic
Random walks on metric measure spaces
Speakers
Details
A metric space is a length space if the distance between two points equals the infimum of the lengths of curves joining them. For a measured length space, we characterize Gaussian estimates for iterated transition kernel for random walks and parabolic Harnack inequality for solutions of a corresponding discrete time version of heat equation by geometric assumptions (Poincaré inequality and Volume doubling property). Such a characterization is well known in the setting of diffusion over Riemannian manifolds (or more generally local Dirichlet spaces) and random walks over graphs (due to the works of A. Grigor'yan, L. Saloff-Coste, K. T. Sturm, T.
Delmotte, E. Fabes & D. Stroock). However this random walk over a continuous space raises new difficulties. I will explain some of these difficulties and how to overcome them. We will discuss some motivating examples and applications.
This is joint work with Laurent Saloff-Coste. (in preparation)
Delmotte, E. Fabes & D. Stroock). However this random walk over a continuous space raises new difficulties. I will explain some of these difficulties and how to overcome them. We will discuss some motivating examples and applications.
This is joint work with Laurent Saloff-Coste. (in preparation)
Additional Information
Location: ESB 2012
Mathav Murugan, Cornell University
Mathav Murugan, Cornell University
This is a Past Event
Event Type
Scientific, Seminar
Date
November 19, 2014
Time
-
Location