4 citations · 12 across the 6 of their papers we have counts for
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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…
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…
Propagation of chaos for mean field rough differential equations
I. Bailleul, R. Catellier, F. Delarue
We address propagation of chaos for large systems of rough differential equations associated with random rough differential equations of mean field type $$ dX_t = V(X_t,\mathcal{L}…
Sensitivity for Smoluchowski equation
Ismael Bailleul
This article investigates the question of sensitivity of the solutions of Smoluchowski equation on R_+^* with respect to parameters λin the interaction kernel K^lambda. It is prove…