Dipartimento di Scienze di Base e Applicate per l'Ingegneria

Seminario di Geometria, aula 1B1, sezione di Matematica
Jun Masamune (Tohoku University)

A volume growth criteria for the conservation property of a
jump-process.

Abstract:
When the Brownian motion does not run off from the space in a
finite time, we say that conservation property holds true. For example,
every Euclidean space and all compact Riemannian manifolds are
conservative; however, a Riemannian manifold having a rapid volume growth
may fail to be conservative. In this talk, we will consider this problem
for a more general Markov process than a Brownian motion, and discuss
about some recent developments in this topic.