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SUPERPROCESS: 作品数：19被引量：8H指数：2; 导出分析报告; 相关领域：理学更多>>; 相关作者：欧庆铃更多>>; 相关机构：华南理工大学更多>>; 相关期刊：《Acta Mathematica Sinica,English Series》《The Journal of China Universities of Posts and Telecommunications》《Science China Mathematics》《Acta Mathematica Scientia》更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划广东省自然科学基金中国博士后科学基金更多>>

UNIQUENESS PROBLEM FOR SPDES FROM POPULATION MODELS: 《Acta Mathematica Scientia》2019年第3期845-856,共12页Jie XIONG Xu YANG; Supported partially by SUST startup fund 28/Y01286120;NSF of Ningxia(2018AAC03245);NSFC(11771018);First-Class Disciplines Foundation Ningxia(NXYLXK2017B09); This is a survey on the strong uniqueness of the solutions to stochastic partial differential equations(SPDEs) related to two measure-valued processes: superprocess and Fleming-Viot process which are given as rescalin...; 关键词：STOCHASTIC partial DIFFERENTIAL EQUATION SUPERPROCESS Fleming-Viot process distribution function backward doubly STOCHASTIC DIFFERENTIAL EQUATION pathwise UNIQUENESS

Strong law of large numbers for supercritical superprocesses under second moment condition被引量：1: 《Frontiers of Mathematics in China》2015年第4期807-838,共32页Zhen-Qing CHEN Yan-Xia REN Renmlng SONG Rui ZHANG; Consider a supercritical superprocess X = {Xt, t 〉~ O} on a locally compact separable metric space （E, m）. Suppose that the spatial motion of X is a Hunt process satisfying certain conditions and that the branching...; 关键词：SUPERPROCESS scaling limit theorem Hunt process spectral gap h-transform martingale measure

Conditional Log-Laplace Functional for a Class of Branching Processes in Random Environments: 《Acta Mathematica Sinica,English Series》2015年第1期71-90,共20页Hao WANG; A conditional log-Laplace functional （CLLF） for a class of branching processes in random environments is derived. The basic idea is the decomposition of a dependent branching dynamic into a no-interacting branching ...; 关键词：Interacting superprocess conditional log-Laplace functional branching process in random environment Wong-Zakai approximation DUALITY

Limit theorems for flows of branching processes: 《Frontiers of Mathematics in China》2014年第1期63-79,共17页Hui HE Rugang MA; Acknowledgements The authors would like to give their sincere thanks to Professor Zenghu Li for encouragement and helpful discussion. They also would like to acknowledge the Laboratory of Mathematics and Complex Systems （Ministry of Education, China） for providing them the research facilities. This work was supported in part by the National Natural Science Foundation of China （Grants Nos. 11201030, 11071021, 11126037）, the Specialized Research Fund for the Doctoral Program of Higher Education （20110003120003）, and Ministry of Education （985 Project）.; We construct two kinds of stochastic flows of discrete Galton-Watson branching processes. Some scaling limit theorems for the flows are proved, which lead to local and nonlocal branching superprocesses over the positi...; 关键词：Stochastic flow Galton-Watson branching process continuous- state branching process SUPERPROCESS nonlocal branching

On strong Markov property for Fleming-Viot processes被引量：2: 《Science China Mathematics》2013年第10期2123-2133,共11页LI QinFeng MA ChunHua XIANG KaiNan; supported by National Natural Science Foundation of China (Grant Nos. 11271204 and 11001137); In this note,we prove that any Fleming-Viot process on a Polish space is strongly Markovian provided so is the mutation process.; 关键词：SUPERPROCESS Fleming-Viot process strong Markov property

Some properties of superprocesses conditioned on non-extinction: 《Science China Mathematics》2009年第4期771-784,共14页LIU RongLi REN YanXia; supported by National Natural Science Foundation of China (Grant No. 10471003, 10871103); We simply call a superprocess conditioned on non-extinction a conditioned superprocess. In this study, we investigate some properties of the conditioned superprocesses (subcritical or critical). Firstly, we give an eq...; 关键词：conditioned superprocess H-TRANSFORM occupation time local extinct 60J80 60B10

Interacting Super-Brownian Motions Depending on Population Size: 《Chinese Quarterly Journal of Mathematics》2008年第2期178-187,共10页CHEN Li YAN Guo-jun; Foundation item： Supported by National Natural Science Foundation of China（A10071008） . Acknowledgements Here the author thank Professor Wang Zikun, Li Zhanbing and Li Zenghu sincerely for their guidance and encouragement.; In this paper, we investigate the interacting super-Brownian motion depending on population size. This process can be viewed as the high density limit of a sequence of particle systems with branching mechanism dependi...; 关键词：SUPERPROCESS Brownian sheet martingale problem limit dual process

Superprocesses arising from interactive stochastic flows被引量：1: 《Science China Mathematics》2006年第4期451-476,共26页YAN Guojun & LI Zhanbing Medical School, Shantou University, Shantou 515063, China Department of Mathematics, Bejing Normal University, Beijing 100875, China; supported by the National Natural Science Foundation of China(Grant Nos.90104004&10471002);973 Project of China(Grant No.G1999075105);the Natural Science Foundation of Guangdong Province(Grant No.032038);the Doctoral Foundation of Guangdong Province(Grant No.032038);the Doctoral Foundation of Guangdong Province(Grant No.04300917).; In this paper, we give a unified construction for superprocesses with dependent spatial motion constructed by Dawson, Li, Wang and superprocesses of stochastic flows constructed by Ma and Xiang. Furthermore, we also g...; 关键词：superprocess INTERACTIVE STOCHASTIC flows MARTINGALE problem dual processes.

On Tanaka formulae for (α,d,β)-superprocesses: 《Science China Mathematics》2005年第9期1194-1208,共15页XIANG Kainan; supported in part by the National Natural Science Foundation of China(Grant No.10101002).; In this paper, Tanaka formulae for (α, d,β)-superprocesses in the dimensions where the local time exists are established under the optimal initial condition.; 关键词：LOCAL time Tanaka formula (α d β)-superprocess.

Superprocesses on Two Space Forms: 《The Journal of China Universities of Posts and Telecommunications》2001年第3期69-76,共8页TANG Jia-shan (Department of Applied Mathematics and Physics, Nanjing University of Posts and Telecommunications, Nanjing 210003, P.R. China); Superprocess is one class of measure-valued branching Markov processes. Many results of the process on abstract spaces and Euclidean spaces are obtained in the literature. In this paper, we discuss super-Brownian moti...; 关键词：SUPERPROCESS branching mechanism underlying process underlying space space form

SUPERPROCESS