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A Resummed Branching Process Representation for a Class of Nonlinear ODEs
representations Branching Process Nonlinear ODEs
2009/4/7
We study some probabilistic representations, based on branching processes, of a simple nonlinear differential equation, i.e. $u'=lambda u(au^R-1)$. The first approach is basically the same used by Le ...
GRAPHICAL REPRESENTATION OF SOME DUALITY RELATIONS IN STOCHASTIC POPULATION MODELS
duality relations STOCHASTIC POPULATION MODELS particle process
2009/3/27
We derive a unified stochastic picture for the duality of a resampling-selection model with a branching-coalescing particle process (cf. MR2123250) and for the self-duality of Feller's branching diffu...
