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math.PR2015
Dimension reduction for stochastic dynamical systems forced onto a manifold by large drift: a constructive approach with examples from theoretical biology
Todd L. Parsons, Tim Rogers
Systems composed of large numbers of interacting agents often admit an effective coarse-grained description in terms of a multidimensional stochastic dynamical system, driven by sm…
math.PR2010★ 1 cited
Limit Theorems for Competitive Density Dependent Population Processes
Todd L. Parsons
Near the beginning of the century, Wright and Fisher devised an elegant, mathematically tractable model of gene reproduction and replacement that laid the foundation for contempora…