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Bisexual Galton-Watson Branching Processes in Random Environments 被引量:29
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作者 Shi-xia Ma 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 2006年第3期419-428,共10页
In this paper, we consider a bisexual Galton-Watson branching process whose offspring probability distribution is controlled by a random environment proccss. Some results for the probability generating functions assoc... In this paper, we consider a bisexual Galton-Watson branching process whose offspring probability distribution is controlled by a random environment proccss. Some results for the probability generating functions associated with the process are obtained and sufficient conditions for certain extinction and for non-certain extinction are established. 展开更多
关键词 Bisexual Galton-Watson branching processes branching processes in random environments extinction probabilities
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Harmonic Moments of Branching Processes in Random Environments 被引量:3
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作者 Wei Gang WANG Ping LV Di He HU 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2009年第7期1087-1096,共10页
We consider harmonic moments of branching processes in general random environments. For a sequence of square integrable random variables, we give some conditions such that there is a positive constant c that every var... We consider harmonic moments of branching processes in general random environments. For a sequence of square integrable random variables, we give some conditions such that there is a positive constant c that every variable in this sequence belong to Ac or A1c uniformly. 展开更多
关键词 branching processes in random environments harmonic moments
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Conditional Log-Laplace Functional for a Class of Branching Processes in Random Environments
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作者 Hao WANG 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2015年第1期71-90,共20页
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 ... 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 and an interacting dynamic generated by the random environments. CLLF will play an important role in the investigation of branching processes and superprocesses with interaction. 展开更多
关键词 interacting superprocess conditional log-Laplace functional branching process in random environment Wong-Zakai approximation DUALITY
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A random walk with a branching system in random environments 被引量:13
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作者 Ying-qiu LI Xu LI Quan-sheng LIU 《Science China Mathematics》 SCIE 2007年第5期698-704,共7页
We consider a branching random walk in random environments, where the particles are reproduced as a branching process with a random environment (in time), and move independently as a random walk on ? with a random env... We consider a branching random walk in random environments, where the particles are reproduced as a branching process with a random environment (in time), and move independently as a random walk on ? with a random environment (in locations). We obtain the asymptotic properties on the position of the rightmost particle at time n, revealing a phase transition phenomenon of the system. 展开更多
关键词 random walks in random environments branching processes in random environments rightmost particles phase transition large deviation 60J10 60F05
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Bounds of Deviation for Branching Chains in Random Environments 被引量:1
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作者 Wei Gang WANG 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2011年第5期897-904,共8页
We consider non-extinct branching processes in general random environments. Under the condition of means and second moments of each generation being bounded, we give the upper bounds and lower bounds for some form dev... We consider non-extinct branching processes in general random environments. Under the condition of means and second moments of each generation being bounded, we give the upper bounds and lower bounds for some form deviations of the process. 展开更多
关键词 branching processes in random environments deviation upper bound lower bound
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