10 citations · 65 across the 32 of their papers we have counts for
23 papers · 1 filter
Uniqueness of the measures on closed Riemannian -manifolds
I. Bailleul
We constructed in a previous work the measures on compact boundaryless -dimensional Riemannian manifolds as some invariant probability measures of some Markovian dynamic…
Mean field singular stochastic PDEs
I. Bailleul, N. Moench
We study some systems of interacting fields whose evolution is given by some singular stochastic partial differential equations of mean field type. We provide a robust setting for…
Random models for singular SPDEs
I. Bailleul, Y. Bruned
We give a proof of the convergence of the BHZ renormalized model associated with the generalized (KPZ) equation that does not require the full strength of the BPHZ renormalisation.…
Regularity structures for quasilinear singular SPDEs
I. Bailleul, M. Hoshino, S. Kusuoka
We prove the well-posed character of a regularity structure formulation of the quasilinear generalized (KPZ) equation and give an explicit form for a renormalized equation in the f…
Parametrization of renormalized models for singular stochastic PDEs
I. Bailleul, Y. Bruned
Let be the regularity structure associated with a given system of singular stochastic PDEs. The paracontrolled representation of the map provides a linear par…
Renormalised singular stochastic PDEs
Ismael Bailleul, Yvain Bruned
Extended decorations on naturally decorated trees were introduced in the work of Bruned, Hairer and Zambotti on algebraic renormalization of regularity structures to provide a conv…