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).
By Takashi Imamura
By Cristina Toninelli
By Clément Erignoux
By Mylène Maïda
By Ryokichi Tanaka
By Ryokichi Tanaka
By Tomoyuki Shirai
By Mireille Capitaine
By Kirone Mallick
By Julien Vovelle
By Julien Vovelle
By Milica Tomašević
By Milica Tomašević
By Shuta Nakajima
By Shuta Nakajima
By Naotaka Kajino
By Naotaka Kajino
By Juan Camilo Arosemena Serrato
By Pieter Spaas
By Albert Schwarz
By Albert Schwarz
By Albert Schwarz
By Juan Camilo Arosemena Serrato
By Amine Marrakchi
By Shirly Geffen
By Francesca Arici
By Pieter Spaas
