分野別セミナー

In the study of singular SPDEs, it has been a challenging problem to
obtain a simple proof of a general probabilistic convergence result
(BPHZ theorem). Differently from Chandra and Hairer's Feynman diagram
approach, Linares, Otto, Tempelmayr, and Tsatsoulis recently proposed an
inductive proof based on the spectral gap inequality by using their
multiindex language. Inspired by their approach, Hairer and Steele also
obtained an inductive proof by using the regularity structure language.
In this talk, we introduce an extension of the regularity structure
including integrability exponents and provide a simpler proof of BPHZ
theorem. This talk is based on a joint work with Ismaël Bailleul
(Université de Bretagne Occidentale).