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 Ismael Bailleul (Université de Bretagne Occidentale).
De Takashi Imamura
De Cristina Toninelli
De Clément Erignoux
De Mylène Maïda
De Ryokichi Tanaka
De Ryokichi Tanaka
De Tomoyuki Shirai
De Julien Vovelle
De Julien Vovelle
De Milica Tomašević
De Milica Tomašević
De Shuta Nakajima
De Shuta Nakajima
De Naotaka Kajino
De Naotaka Kajino
De Albert Schwarz
De Albert Schwarz
De Albert Schwarz
De Victor Kleptsyn
De Stephen Coombes , Peter Liddle
De Victor Kleptsyn
De Albert Schwarz
