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Boltzmann-Gibbs principle in L^p sense via Littlewood-Paley-Stein inequality

 
Title:
Boltzmann-Gibbs principle in L^p sense via Littlewood-Paley-Stein inequality
Speaker:
Dr.Tadahisa Funaki,北京雁栖湖应用数学研究院
Inviter: 朱湘禅 研究员
Time & Venue:

2022.11.11 16:00 N620

Abstract:

KPZ limit for one-dimensional weakly asymmetric Ginzburg-Landau model was studied by Diehl-Gubinelli-Perkowski in a setting of martingale (energy) solution. Our goal is to apply a path-wise approach based on the paracontrolled calculus. For this purpose, we need to establish the (equilibrium) Boltzmann-Gibbs principle of first and second orders in L^p-sense. We rewrite Ito-Tanaka/Kipnis-Varadhan estimate in L^p-form. Then, Littlewood-Paley-Stein inequality plays a role.

Affiliation: Tadahisa Funaki,日本知名概率学家,东京大学,早稻田大学教授,BIMSA教授,曾任日本数学会理事长,曾任著名概率杂志Annals of probability,Annales del’Institut Henri Poincare, Probabilites et Statistique编委,现任Forum of Mathematics, Pi and Sigma编委。获得日本数学会2002年分析奖,2007年秋季奖,2022年ICM45分钟报告人。

学术报告中国科学院数学与系统科学研究院应用数学研究所
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