Summary
A strong equation driven by a historical Brownian motion is used to construct and characterize measure-valued branching diffusions in which the spatial motions obey an Itô equation with drift and diffusion depending on the position of an individual and the entire population.
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Perkins, E. Measure-valued branching diffusions with spatial interactions. Probab. Th. Rel. Fields 94, 189–245 (1992). https://doi.org/10.1007/BF01192444
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DOI: https://doi.org/10.1007/BF01192444
Mathematics Subject Classification
- 60 G 57
- 60 K 35
- 60 H 15
- 60 J 80
- 60 H 05