DIMENSION RESULT AND KPZ FORMULA FOR TWO-DIMENSIONAL MULTIPLICATIVE CASCADE PROCESSES

• 成果类型: Article
• 署名作者: Jin, Xiong
• 署名单位: Universite Paris 13; Centre National de la Recherche Scientifique (CNRS)
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/10-AOP613
• 发表日期: 2012
• 页码: 1-18
• 关键词: turbulence; continuity; moments

摘要

We prove a Hausdorff dimension result for the image of two-dimensional multiplicative cascade processes, and we obtain from this result a KPZ-type formula which normally has one point of phase transition.