628 citations
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Showing 2013 · math.PRShow all
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math.PR2013★ 54 cited
Mean field limit for disordered diffusions with singular interactions
Eric Luçon, Wilhelm Stannat
Motivated by considerations from neuroscience (macroscopic behavior of large ensembles of interacting neurons), we consider a population of mean field interacting diffusions in $\m…
math.PR2013★ 23 cited
Lattice Approximation for Stochastic Reaction Diffusion Equations with One-Sided Lipschitz Condition
Martin Sauer, Wilhelm Stannat
We consider strong convergence of the finite differences approximation in space for stochastic reaction diffusion equations with multiplicative noise under a one-sided Lipschitz co…