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。 | |
|
|
|
|
|
|
|
|
|
|
|
|
|
|
