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math.PR2013
Strong solutions to stochastic differential equations with rough coefficients
Nicolas Champagnat, Pierre-Emmanuel Jabin
We study strong existence and pathwise uniqueness for stochastic differential equations in $\RR^d$ with rough coefficients, and without assuming uniform ellipticity for the diffusi…
math.PR2013★ 1 cited
Adaptation in a stochastic multi-resources chemostat model
Nicolas Champagnat, Pierre-Emmanuel Jabin, Sylvie Méléard
We are interested in modeling the Darwinian evolution resulting from the interplay of phenotypic variation and natural selection through ecological interactions, in the specific sc…