5 citations · 9 across the 3 of their papers we have counts for
4 papers
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…
Renormalization of random models: a review
I. Bailleul, M. Hoshino
We give a review of three works on the construction of random models for singular stochastic partial differential equations within the theory of regularity structures.
Random models on regularity-integrability structures
I. Bailleul, M. Hoshino
We prove a convergence result for a large class of random models that encompasses the case of the BPHZ models used in the study of singular stochastic PDEs. We introduce for that p…
A tourist's guide to regularity structures and singular stochastic PDEs
I. Bailleul, M. Hoshino
We give an essentially self-contained treatment of the fundamental analytic and algebraic features of regularity structures and its applications to the study of singular stochastic…