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math.PR2020
A characterization of transportation-information inequalities for Markov processes in terms of dimension-free concentration
Daniel Lacker, Lane Chun Yeung
Inequalities between transportation costs and Fisher information are known to characterize certain concentration properties of Markov processes around their invariant measures. Thi…
math.PR2020
Superposition and mimicking theorems for conditional McKean-Vlasov equations
Daniel Lacker, Mykhaylo Shkolnikov, Jiacheng Zhang
We consider conditional McKean-Vlasov stochastic differential equations (SDEs), such as the ones arising in the large-system limit of mean field games and particle systems with mea…