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math.PR2020
A Law of Large Numbers for interacting diffusions via a mild formulation
Florian Bechtold, Fabio Coppini
Consider a system of weakly interacting particles driven by independent Brownian motions. In many instances, it is well known that the empirical measure converges to the soluti…
math.PR2020
Strong solutions of semilinear SPDEs with unbounded diffusion
Florian Bechtold
We prove a modification to the classical maximal inequality for stochastic convolutions in 2-smooth Banach spaces using the factorization method. This permits to study semilinear s…