For more information about this meeting, contact Manfred Denker.
|Title:||On stochastic completeness of a jump process and its application to graphs|
|Seminar:||Seminar on Probability and its Application|
|Speaker:||Jun Masamune, Penn State University Altoona|
|In 1986, A Grigor`yan discovered a sharp volume-growth condition for
the Brownian motion on a Riemannian manifold to be stochastically
complete; namely, non-explosive. This condition was extended to a
diffusion process on a metric measure space by K.Th. Sturm in 1994.
Quite recently, R.K. Wojciechowski constructed a stochastically
incomplete graph that satisfies this condition with respect to the
graph distance. In this talk, I will introduce a new volume-growth
condition for a jump-process on a metric measure space that is
stochastically complete, then I will apply that result to a graph.
Wojciechowski's example confirms that our condition for a graph is
sharp. This result was obtained in a collaboration with Alexander
Grigor`yan and Xeuping Huang (Bielefeld, Germany).|
Room Reservation Information
|Date:||02 / 25 / 2011|
|Time:||02:20pm - 03:20pm|