Speaker: Dr. Erkan Nane

Title: Fractional Cauchy problems  on compact  manifolds

Abstract: We investigate anomalous diffusions  on compact Riemannian manifolds, modeled by time-changed Brownian motions. These stochastic processes are governed by equations involving the Laplace-Beltrami operator and a time-fractional derivative of order \(\beta\in (0,1)\).  We also consider time dependent random fields that can be viewed as random fields on randomly varying manifolds. We  discuss time fractional Cauchy problems on the sphere as an example.