RANDOM_WALK

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On Total Progeny of Multitype Galton-Watson Process and the First Passage Time of Random Walk on Lattice
《Acta Mathematica Sinica,English Series》2014年第12期2161-2172,共12页Hua Ming WANG 
Supported by National Nature Science Foundation of China(Grant No.11226199)
In this paper,we form a method to calculate the probability generating function of the total progeny of multitype branching process.As examples,we calculate probability generating function of the total progeny of the ...
关键词：Multitype branching process total progeny random walk 
Explicit Stationary Distribution of the(L,1)-reflecting Random Walk on the Half Line
《Acta Mathematica Sinica,English Series》2014年第3期371-388,共18页Wen Ming HONG Ke ZHOU Yi Qiang Q.ZHAO 
Supported by National Natural Science Foundation of China(Grant No.11131003);the Natural Sciences and Engineering Research Council of Canada(Grant No.315660)
In this paper,we consider the（L,1） state-dependent reflecting random walk（RW） on the half line,which is an RW allowing jumps to the left at a maximal size L.For this model,we provide an explicit criterion for（pos...
关键词：Random walk multi-type branching process RECURRENCE positive recurrence stationarydistribution tail asymptotic 
A Note on Multitype Branching Process with Bounded Immigration in Random Environment被引量：2
《Acta Mathematica Sinica,English Series》2013年第6期1095-1110,共16页Hua Ming WANG 
Supported by National Nature Science Foundation of China(Grant No.11226199)
In this paper, we study the total number of progeny, W, before regenerating of multitype branching process with immigration in random environment. We show that the tail probability of ｜W｜ is of order t-κ as t→∞, ...
关键词：Branching process random walk random environment 
Local Asymptotics of a Markov Modulated Random Walk with Heavy-tailed Increments
《Acta Mathematica Sinica,English Series》2011年第9期1843-1854,共12页Bing Chang WANG Yuan Yuan LIU 
Supported by National Natural Science Foundation of China （Grant Nos. 10901164 and 10771216） and the Scientific Research Foundation for the Returned Overseas Chinese Scholars, Ministry of Education We are grateful to Professor Zhenting Hou and the referees for many valuable comments on the draft of this paper. In particular, we wish to thank a referee for pointing out a related new topic stated in Remark 3.9.
In this paper, we obtain sufficient and necessary conditions for local asymptotics for the maximum of a Markov modulated random walk with long-tailed increments and negative drifts, where the local asymptotics means a...
关键词：Mavkov modulated random walk local asymptotics long-tailed distributions subexpo- nential distributions Wiener-Hopf factorization 
The Limit Theorems for Random Walk with State Space R in a Space-time Random Environment
《Acta Mathematica Sinica,English Series》2008年第4期655-662,共8页Wei Gang WANG Zhen Long GAO Di He HU 
the National Natural Science Fundation of China (10371092);the Foundation of Wuhan University
We consider a discrete time random environment. We state that when the random walk on real number space in a environment is i.i.d., under the law, the law of large numbers, iterated law and CLT of the process are corr...
关键词：space-time random environment the law of large numbers CLT iterated law invariance principle 
Properties of Super-Poisson Processes and Super-Random Walks with Spatially Dependent Branching Rates
《Acta Mathematica Sinica,English Series》2008年第2期275-284,共10页Yan Xia REN 
NNSF of China (Grant No.10471003);Foundation for Authors Awarded Excellent Ph.D.Dissertation
The global supports of super-Poisson processes and super-random walks with a branching mechanism ψ（z）=z^2 and constant branching rate are known to be noncompact. It turns out that, for any spatially dependent branc...
关键词：super-Poisson process super-random walk global support asymptotic extinction 
On the Monotonicity of the Speed of Random Walks on a Percolation Cluster of Trees被引量：1
《Acta Mathematica Sinica,English Series》2007年第11期1949-1954,共6页Da Yue CHEN Fu Xi ZHANG 
Supported in part by Grant G1999075106 from the Ministry of Science and Technology of China
The authors consider the simple random walk on the infinite cluster of the Bernoulli bond percolation of trees, and investigate the relation between the speed of the simple random walk and the retaining probability p ...
关键词：random walk PERCOLATION SPEED MONOTONICITY TREE 
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