Large deviations under a viewpoint of metric geometry:Measure-valued process cases

作     者：XIANG KaiNan 

作者机构：School of Mathematical Sciences LPMC Nankai University 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2013年第56卷第11期

页      面：2335-2351页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by National Natural Science Foundation of China(Grant Nos.10971106 and 11271204) 

主　　题：large deviation super-Brownian motion Fleming-Viot process metric geometry of path space 

摘      要：We illustrate a metric geometry viewpoint for large deviation principles by analyzing the proof of a long-standing conjecture on an explicit Schilder-type theorem for super-Brownian motions given by the authors recently,and by understanding sample path large deviations for Fleming-Viot processes.