2 papers
math.AP2024
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…
math.PR2024
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…