For more information about this meeting, contact Manfred Denker.
| Title: | On stochastic completeness of a jump process and its application to graphs |
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| Seminar: | Seminar on Probability and its Application |
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| Speaker: | Jun Masamune, Penn State University Altoona |
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| Abstract: |
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| 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
| Room Number: | MB106 |
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| Date: | 02 / 25 / 2011 |
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| Time: | 02:20pm - 03:20pm |
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