国家自然科学基金(10901054)

作品数：6被引量：5H指数：1
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相关机构：华东师范大学更多>>
相关期刊：《Science China Mathematics》《Acta Mathematica Scientia》《数学物理学报（A辑）》《Frontiers of Mathematics in China》更多>>
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Limit theorems of continuous-time random walks with tails
《Frontiers of Mathematics in China》2013年第2期371-391,共21页Yuqiang LI 
Acknowledgements The author thanks Professor Yimin Xiao for stimulating discussion. Thanks are also due to the anonymous referees for their careful reading and useful suggestions. This work was supported in part by the National Natural Science Foundation of China （Grant No. 10901054）.
We study the functional limits of continuous-time random walks （CTRWs） with tails under certain conditions. We find that the scaled CTRWs with tails converge weakly to an a-stable Levy process in D（[0, 1]） with M1...
关键词：Weak convergence J1-topology M1-topology stable Levy process 
Fluctuation limits of strongly degenerate branching systems
《Science China Mathematics》2011年第12期2669-2682,共14页LI YuQiang 
supported by National Natural Science Foundation of China (Grant No. 10901054)
Functional limit theorems for scaled occupation time fluctuations of a sequence of generalized branching particle systems in Rd with anisotropic space motions and strongly degenerated splitting abilities are studied i...
关键词：functional limit theorem occupation time fluctuation branching particle system 
A note on approximation to multifractional Brownian motion被引量：4
《Science China Mathematics》2011年第10期2145-2154,共10页DAI HongShuai LI YuQiang 
supported by National Natural Science Foundation of China (Grant No. 10901054)
In this paper,we prove approximations of multifractional Brownian motions with moving-average representations and of those with harmonizable representations in the space of continuous functions on [0,1]. These approxi...
关键词：multifractional Brownian motion fractional Brownian motion Poisson process weak convergence 
STABLE SUB-GAUSSIAN MODELS CONSTRUCTED BY POISSON PROCESSES被引量：1
《Acta Mathematica Scientia》2011年第5期1945-1958,共14页戴洪帅 李育强 
supported by National Natural Science Foundation of China (10901054)
In this paper, we first prove that one-parameter standard α-stable sub-Gaussian processes can be approximated by processes constructed by integrals based on the Poisson process with random intensity. Then we extend t...
关键词：stable sub-Gaussian process weak convergence Poisson process Riemann integral 
Limit Distributions for Generalized Jirina Processes with Immigration
《Acta Mathematica Sinica,English Series》2011年第7期1333-1344,共12页Yu Qiang LI 
Supported by National Natural Science Foundation of China （Grant No. 10901054）
A relationship between continuous state population-size-dependent branching （CSDB） processes with or without immigration and discrete state population-size-dependent branching （DSDB） processes with or without immi...
关键词：Generalized branching process IMMIGRATION limiting distribution 
一类具有退化系数鞅问题解的唯一性
《数学物理学报（A辑）》2010年第3期613-622,共10页李育强 
国家自然科学基金(10901054)资助
该文首先在系数有界的条件下,证明了一类具有退化系数鞅问题解的存在唯一性.然后借助于函数变换,指出系数有界条件可以被弱化.
关键词：鞅问题 唯一性 退化系数 
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