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math.PR2025
Five lectures on regularity structures and SPDEs
I. Bailleul
This set of five lectures provides an introduction to regularity structures and their use for the study of singular stochastic partial differential equations. Two appendices provid…
math.PR2025
Transportation cost inequalities for singular SPDEs
I. Bailleul, M. Hoshino, R. Takano
We prove that the laws of the BPHZ random models satisfy some transportation cost inequalities in the full subcritical regime if there is no 'variance blowup' and the law of the no…