A Class of Infinite Dimensional Diffusion Processes with Connection to Population Genetics
| dc.creator | Feng, Shui | |
| dc.creator | Wang, Feng-Yu | |
| dc.date | 2007-11-12 | |
| dc.date.accessioned | 2026-07-07T08:42:33Z | |
| dc.date.available | 2026-07-07T08:42:33Z | |
| dc.description | Starting from a sequence of independent Wright-Fisher diffusion processes on $[0,1]$, we construct a class of reversible infinite dimensional diffusion processes on $\DD_\infty:= \{{\bf x}\in [0,1]^\N: \sum_{i\ge 1} x_i=1\}$ with GEM distribution as the reversible measure. Log-Sobolev inequalities are established for these diffusions, which lead to the exponential convergence to the corresponding reversible measures in the entropy. Extensions are made to a class of measure-valued processes over an abstract space $S$. This provides a reasonable alternative to the Fleming-Viot process which does not satisfy the log-Sobolev inequality when $S$ is infinite as observed by W. Stannat \cite{S}. | |
| dc.description | 14 pages | |
| dc.identifier | https://arxiv.org/abs/0711.1887 | |
| dc.identifier | http://arxiv.org/abs/0711.1887 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/141997 | |
| dc.subject | Probability | |
| dc.subject | 60F10 (Primary); 92D10 (Secondary) | |
| dc.title | A Class of Infinite Dimensional Diffusion Processes with Connection to Population Genetics | |
| dc.type | text |