##### Department of Mathematics,

University of California San Diego

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### Probability Seminar

## Lucian Beznea

#### Simion Stoilow Institute of Mathematics of the Romanian Academy

## The semigroup approach for measure-valued branching processes and a nonlinear Dirichlet problem

##### Abstract:

We use a branching Markov process on the space of finite configurations to solve a Dirichlet problem associated with the operator $\Delta u + u^2$. We follow the pioneering works of M. Nagasawa, N. Ikeda, S. Watanabe, M.L. Silverstein, and the approach of E.B. Dynkin.

Host: Pat Fitzsimmons

### September 8, 2011

### 2:00 PM

### AP&M 6402

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