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ZB 10 - Soft Condensed Matter (R. Holyst)

We are different, but we all do great Science; and we have a lot of fun doing it!
We are different, but we all do great Science; and we have a lot of fun doing it!
We are different, but we all do great Science; and we have a lot of fun doing it!
We are different, but we all do great Science; and we have a lot of fun doing it!
We are different, but we all do great Science; and we have a lot of fun doing it!
We are different, but we all do great Science; and we have a lot of fun doing it!
We are different, but we all do great Science; and we have a lot of fun doing it!
We are different, but we all do great Science; and we have a lot of fun doing it!

Publication

A Fleming-Viot particle representation of the Dirichlet Laplacian

Author(s): Burdzy, K and Holyst, R and March, P
Title: A Fleming-Viot particle representation of the Dirichlet Laplacian
Abstract: We consider. a model with a large number N of particles which move to independent Brownian motions. A particle which leaves a D is killed, at the same time, a different particle splits into particles, For large N, the particle distribution density converges the normalized heat equation solution in D with Dirichlet boundary The stationary distributions converge as N --> infinity to first eigenfunction of the Laplacian in D with the same boundary conditions.
Pages: 679-703
Journal: COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume: 214
ID: ISI:000165591400008
Year: 2000
DOI: 10.1007/s002200000294