##### Department of Mathematics,

University of California San Diego

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### Math 288 - Probability and Statistics Seminar

## Weian Zheng

#### University of California, Irvine

## Monge-Kantorovich Problem

##### Abstract:

We use a simple probability method to transform the celebrated Monge-Kantorovich problem in a bounded region of Euclidean plane into a Dirichlet boundary problem associated to a quasi-linear elliptic equation with 0-order term missing in its diffusion coefficients. Thus, we are also able to give a probability approach to the famous Monge-Ampere equation, which is known to be associated to the above problem.

Host: Bruce Driver

### October 8, 2009

### 10:00 AM

### AP&M 6402

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