期刊论文

Liu, Quansheng

英文

Statistics & Probability Letters

0167-7152

2019

147

57-65

10.1016/j.spl.2018.10.002

National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11731012, 11571052, 11401590]; Natural Science Foundation of Hunan Province of ChinaNatural Science Foundation of Hunan Province [2017JJ2271]; Innovation Foundation for Postgraduates of Changsha University of science and Technology [CX2017SS24]; Centre Henri Lebesgue (CHL, France) [ANR-11-LABX-0020-01]

本校为第一机构

For Mandelbrot's cascade in a random environment, we find the critical value for the existence of harmonic moments of the limit variable of Mandelbrot's martingale, and establish large and moderate deviation principles for the free energy. As applications, we show the corresponding limit theorems for branching random walks in random environments. (C)...