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 recent...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.展开更多
基金supported by National Natural Science Foundation of China(Grant Nos.10971106 and 11271204)
文摘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.