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SUPERPROCESSES: 作品数：22被引量：6H指数：1; 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：《The Journal of China Universities of Posts and Telecommunications》《Science China Mathematics》《Acta Mathematica Sinica,English Series》《Acta Mathematica Scientia》更多>>; 相关基金：国家自然科学基金广东省自然科学基金国家重点基础研究发展计划更多>>

Tanaka Formula and Local Time for a Class of Interacting Branching Measure-valued Diffusions: 《Acta Mathematica Sinica,English Series》2024年第4期1059-1098,共40页Donald A.DAWSON Jean VAILLANCOURT Hao WANG; Partial funding in support of this work was provided by the Natural Sciences and Engineering Research Council of Canada(NSERC);the Department of Mathematics at the University of Oregon。; We construct superprocesses with dependent spatial motion(SDSMs)in Euclidean spaces R^(d)with d≥1 and show that,even when they start at some unbounded initial positive Radon measure such as Lebesgue measure on R^(d),...; 关键词：Measure-valued diffusions stochastic partial differential equations SUPERPROCESSES branching processes local time Tanaka formula

Stable Central Limit Theorems for Super Ornstein–Uhlenbeck Processes,Ⅱ: 《Acta Mathematica Sinica,English Series》2022年第3期487-498,共12页Yan Xia REN Ren Ming SONG Zhen Yao SUN Jian Jie ZHAO; supported in part by NSFC(Grant Nos.11731009 and 12071011);the National Key R&D Program of China(Grant No.2020YFA0712900);supported in part by Simons Foundation(#429343,Renming Song)。; This paper is a continuation of our recent paper(Electron.J.Probab.,24(141),(2019))and is devoted to the asymptotic behavior of a class of supercritical super Ornstein-Uhlenbeck processes(X_(t))t≥0 with branching mec...; 关键词：SUPERPROCESSES Ornstein–Uhlenbeck processes stable distribution central limit theorem law of large numbers branching rate regime

Supercritical superprocesses: Proper normalization and non-degenerate strong limit被引量：1: 《Science China Mathematics》2019年第8期1519-1552,共34页Yan-Xia Ren Renming Song Rui Zhang; supported by National Natural Science Foundation of China (Grant Nos. 11671017, 11731009 and 11601354);Key Laboratory of Mathematical Economics and Quantitative Finance (Peking University), Ministry of Education, the Simons Foundation (Grant No. 429343);Youth Innovative Research Team of Capital Normal University; Suppose that X ={Xt, t≥0;Pμ} is a supercritical superprocess in a locally compact separable metric space E. Let φ0 be a positive eigenfunction corresponding to the first eigenvalue λ0 of the generator of the mean ...; 关键词：SUPERPROCESSES Seneta-Heyde norming non-degenerate STRONG LIMIT MARTINGALES

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

Dual Processes and Compapison Theorem of Superprocesses Random Environents: 《Chinese Quarterly Journal of Mathematics》2013年第2期297-302,共6页CHEN Li XUE Ling-xia LAN She-yun; Supported by the NNSF(A10071008); In this paper, we give the dual processes for superprocesses in random environments constructed by L Mytnik and the comparison theorem of these superprocesses with Dawson-Watanabe superprocesses.; 关键词：superprocesses in random environments dual processes Laplace functionals Dawson-Watanabe superprocesses

Regularity of the Density for the Total Weighted Occupation Measure of Super-Brownain Motion: 《Acta Mathematica Sinica,English Series》2011年第8期1557-1572,共16页Rong Li LIU; Supported by National Natural Science Foundation of China （Grant Nos. 10871103 and 10971003）; Let （Xt） be a super-Brownian motion in a bounded domain D in R^d. The random measure Y^D（.） = ∫o^∞ Xt（.）dt is called the total weighted occupation time of （Xt）. We consider the regularity properties for the ...; 关键词：SUPERPROCESSES Poisson point processes REGULARITY total weighted occupation time

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

State Descomposition of Superprocesses of Stochastic Flows: 《Chinese Quarterly Journal of Mathematics》2006年第3期406-415,共10页ZHAO Qiao-ling LIU Xiao-shu YAN Guo-jun; Supported by the Nature Science Foundation of Henan(2004601018); In this paper, we reconstruct the superprocesses of stochastic flows by martingale method, and prove that if and only if the infinitesimal particles never hit each other, then atomic part and diffuse part of this kind...; 关键词：SUPERPROCESSES stochastic flows martingale method martingale problem state decomposition

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