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Measure-valued branching diffusions with spatial interactions
Authors:Edwin Perkins
Institution:(1) Mathematics Department, University of British Columbia, 121-1984 Mathematics Road, V6T 1Y4 Vancouver, BC, Canada
Abstract: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.
Keywords:60 G 57  60 K 35  60 H 15  60 J 80  60 H 05
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