Measure-Valued Branching Diffusions and Interactions

Edwin A. Perkins
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Edwin A. Perkins: University of British Columbia, Department of Mathematics

A chapter in Proceedings of the International Congress of Mathematicians, 1995, pp 1036-1046 from Springer

Abstract: Abstract Dawson-Watanabe superprocesses (or measure-valued branching diffusions) provide a stochastic model for a population undergoing random critical (or near critical) reproduction and spatial migration. They arise in a variety of contexts including population genetics, stochastic partial differential equations (PDEs) and interacting particle systems. I will describe some of these connections and then present some sample path properties of super-Brownian motion. An excellent survey of the field may be found in [D2]. Generality will be sacrificed for the sake of accessibility.

Date: 1995
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DOI: 10.1007/978-3-0348-9078-6_96

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