activity
20082025
most citedPropagation of chaos for mean field rough differential equations

4 citations · 12 across the 6 of their papers we have counts for

collaborators

8 papers

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…

math.PR2024

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.

math.AP2024

Non-local quasilinear singular SPDEs

I. Bailleul, H. Eulry

We study in this short note a counterpart to the quasilinear generalized parabolic Anderson model (gPAM) on the 2-dimensional torus where the coefficients are nonlocal functionals…

math.PR2023★ 4 cited

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…

math.AP2021★ 4 cited

Locality for singular stochastic PDEs

I. Bailleul, Y. Bruned

This work deals with singular stochastic PDEs driven by non-translation invariant differential operators. We describe the renormalized equation for a very large class of spacetime…

math.PR2019★ 4 cited

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}…

math.PR2008

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…