10 citations · 65 across the 32 of their papers we have counts for
38 papers
Global harmonic analysis for on closed Riemannian manifolds
I. Bailleul, N. V. Dang, L. Ferdinand +1
Following Parisi \& Wu's paradigm of stochastic quantization, we constructed in \cite{BDFT} a measure on an arbitrary closed, compact Riemannian manifold of dimension as…
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…
measures on compact Riemannian -manifolds
I. Bailleul, N. V. Dang, L. Ferdinand +1
We construct the measure on an arbitrary 3-dimensional compact Riemannian manifold without boundary as an invariant probability measure of a singular stochastic partial dif…
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…