Branching structure for the transient (1, R)-random walk in random environment and its applications

Hong W.; Zhang L.

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Branching structure for the transient (1, R)-random walk in random environment and its applications

机译：随机环境中瞬时（1，R）随机游动的分支结构及其应用

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An intrinsic multi-type branching structure within the transient (1, R)-RWRE is revealed. The branching structure enables us to specify the density of the absolutely continuous invariant measure for the Markov chain of environments seen from the particle and reprove the LLN with a drift explicitly in terms of the environment.

机译：揭示了在瞬态（1，R）-RWRE中一个固有的多类型分支结构。分支结构使我们能够为从粒子看到的环境的马尔可夫链指定绝对连续不变测度的密度，并根据环境明确地证明LLN具有漂移。

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《Infinite dimensional analysis, quantum probability, and related topics》 |2010年第4期|共30页
作者
Hong W.; Zhang L.;
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正文语种 eng
中图分类物理学;
关键词
law of large numbers; multi-type branching process; random environment; Random walk; Wald's equality;

机译：大数定律;多类型分支过程;随机环境;随机游走;瓦尔德等式;

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专利

1. Branching structure for the transient (1, R)-random walk in random environment and its applications [J] . Hong W., Zhang L. Infinite dimensional analysis, quantum probability, and related topics . 2010,第4期

机译：随机环境中瞬时（1，R）随机游动的分支结构及其应用
2. RECURRENCE AND TRANSIENCE OF CRITICAL BRANCHING PROCESSES IN RANDOM ENVIRONMENT WITH IMMIGRATION AND AN APPLICATION TO EXCITED RANDOM WALKS [J] . ELISABETH BAUERNSCHUBERT Advances in applied probability . 2014,第3期

机译：带有迁移的随机环境中关键分支过程的重现与过渡及其在激发随机游动中的应用
3. The Intrinsic Branching Structure for the Random Walk on a Strip in a Random Environment [J] . HONG Wenming, ZHANG Meijuan Chinese journal of contemporary mathematics . 2016,第4期

机译：随机环境中条带上随机游动的本征分支结构
4. Random Walks in Random Environments [C] . Ofer Zeitouni International Congress of Mathematicians Vol.3: Invited Lectures Aug 20-28, 2002 Beijing . 2002

机译：随机环境中的随机游走
5. Random walks on randomly partitioned lattices with applications toward protein fluctuations. [D] . Huang, Tsongjy. 1995

机译：随机行走在随机分配的晶格上，并应用于蛋白质波动。
6. Recruitment screening and baseline participant characteristics in the WALK 2.0 study: A randomized controlled trial using web 2.0 applications to promote physical activity [O] . Cristina M. Caperchione, Mitch J. Duncan, Richard R. Rosenkranz, 2016

机译：WALK 2.0研究中的招募筛查和基线参与者特征：使用Web 2.0应用程序促进身体活动的随机对照试验
7. Branching structure for the transient (1;R)-random walk in random environment and its applications [O] . Hong, Wenming, Zhang, Lin 2010

机译：瞬态（1; R）随机行走的分支结构环境及其应用
8. Variational Formula for Branching Random Walk in Random Environment [R] . Baillon, J., Clement, P., Greven, A., 1990

机译：随机环境中分支随机游动的变分公式

Branching structure for the transient (1, R)-random walk in random environment and its applications

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