|
|||||
|
|
Spread of branching diffusion: Sharp asymptotics |
|
| Authors: | A. Korostelev O. Korosteleva |
| Affiliation: | 1. Department of Mathematics , Wayne State University , Detroit, MI, 48202, USA;2. Department of Mathematics and Statistics , California State University , Bellflower Blvd, Long Beach, CA, 90840-1001, USA |
| Abstract: | A one-dimensional branching diffusion with a stable drift is considered. Let Rt denote the position of the rightmost particle at time t. It is shown that Rt , properly normalized, has a limiting distribution. |
| Keywords: | Branching diffusion Stabilizing drift Brownian motion Poisson process Primary 60J80 Secondary 60J60 |