most citedGeneralized Urn Models of Evolutionary Processes

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math.PR2004★ 37 cited

Generalized Urn Models of Evolutionary Processes

Michel Benaim, Sebastian J. Schreiber, Pierre Tarres

Generalized Polya urn models can describe the dynamics of finite populations of interacting genotypes. Three basic questions these models can address are: Under what conditions doe…

math.PR2003

Self-Interacting Diffusions : Symmetric Interactions

Michel Benaim, Olivier Raimond

Let be a compact Riemannian manifold. A {\em self-interacting diffusion} on is a stochastic process solution to $$dX_t = dW_t(X_t) - \frac{1}{t}(\int_0^t \nabla V_{X_s}(X_t…