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