- Abstract:
-
We study a pair of populations in R2 which undergo diffusion and branching. The system is interactive in that the branching rate of each type is proportional to the local density of the other type. For a diffusion rate sufficiently large compared with the branching rate, the model is constructed as the unique pair of finite measure-valued processes which satisfy a martingale problem involving the collision local time of the solutions. The processes are shown to have densities at fixed times w...
Expand abstract - Publication status:
- Published
- Publisher copy:
- 10.1214/aop/1039548370
-
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- Journal:
- ANNALS OF PROBABILITY
- Volume:
- 30
- Issue:
- 4
- Pages:
- 1681-1762
- Publication date:
- 2002-10-05
- DOI:
- ISSN:
-
0091-1798
- URN:
-
uuid:12b31112-cdfa-46ae-a0a9-996058b0dd6b
- Source identifiers:
-
97465
- Local pid:
- pubs:97465
- Copyright date:
- 2002
Journal article
Mutually catalytic branching in the plane: Finite measure states
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