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The Branch Dependence Of The Total Population Interaction Super-brownian Motion

Posted on:2009-11-02Degree:MasterType:Thesis
Country:ChinaCandidate:L ChenFull Text:PDF
GTID:2190360302477209Subject:Probability and mathematical statistics
Abstract/Summary:PDF Full Text Request
The article discussed by the branch-dependent mechanism of the total population, the particles interact with the process of ultra branch , Measure the value of the process, also known as ultra-branch process, Is a random process over the past 20 years of important research one of the branch , With the super-process research and development of in-depth, People do not want to have been limited and the process of super-model, And wish to take advantage of already developed research tools to solve some new problems with the model, The first assumption is that "particles" there is some kind of interaction between, They assumed that a single particle movement by the overall distribution of, Produced by future generations is also affected by the overall distribution of, Under such circumstances, it will be their model, The other is to consider in the context of random random cloud, Many of these models, This article is room for movement from the ultra-dependent process of starting, Wang and others in the model by adding more of the total number of branches of the population dependent mechanism, Can we get a new super-model? Finally, the use of ultra-Dawson-Watanabe process of splicing and branches of the population dependent on the mechanism of the total number of super-course, In the super-structure interaction with the course of time, "Mosaic" is a branch of the particle system than the more direct approach, In this paper, the total number of branches of the population depends on the interaction with .The super-Brownian motion of the martingale engraved on the value of the function and use cloven process proves that this kind of super-distribution process as well as the uniqueness of the strong nature of the Markov.
Keywords/Search Tags:superprocess, Brownian sheet, martingale problem, limit dual process
PDF Full Text Request
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