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Variational Formula for Branching Random Walk in Random Environment

机译：随机环境中分支随机游动的变分公式

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An infinite system of particles on the integers Z that drift to the right with arandom delay and split or die along the way according to a random law depending on their position is discussed. The exponential growth rate of the particle density is computed in the long time limit in the form of a variational expression that can be solved explicitly. The result reveals two phase transitions associated with localization versus delocalization and survival versus extinction. In addition the system exhibits an intermittency effect. In Greven and den Hollander the more difficult situation is considered where the particles may drift both to left and right, but the analysis of the phase diagram is less complete.

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Baillon, J.; Clement, P.; Greven, A.; Denhollander, F.;
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年度 1990
页码
总页数 30
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Computation; Integers; Markov chains; Random walk; Monte Carlo method; Particledensity (Concentration); Phase diagrams; Space density; Spatial distribution;

机译：计算;整数;马尔可夫链;随机游走;蒙特卡罗方法;粒子密度（浓度）;相图;空间密度;空间分布;

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专利

1. Branching random walks in random environment and super-Brownian motion in random environment [J] . Nakashima Makoto Annales de L'institut Henri Poincare . 2015,第4期

机译：随机环境中的分支随机游动和随机环境中的超布朗运动
2. Limit Theorems for the Minimal Position of a Branching Random Walk in Random Environment [J] . Zhang Xiaoyue, Hou Wanting, Hong Wenming Markov Processes and Related Fields . 2020,第5期

机译：随机环境中分支随机漫步最小位置的限制定理
3. QUENCHED INVARIANCE PRINCIPLES FOR THE MAXIMAL PARTICLE IN BRANCHING RANDOM WALK IN RANDOM ENVIRONMENT AND THE PARABOLIC ANDERSON MODEL [J] . The Annals of Probability: An Official Journal of the Institute of Mathematical Statistics . 2020,第1期

机译：随机环境中分支随机行走中的最大粒子的淬火不变原理和抛物线和蛋白质模型
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. Quenched large deviation for multidimensional random walk in random environment: A variational formula. [D] . Rosenbluth, Jeffrey M. 2006

机译：随机环境中多维随机游走的淬灭大偏差：一个变分公式。
6. Examining the Associations between Walk Score Perceived Built Environment and Physical Activity Behaviors among Women Participating in a Community-Randomized Lifestyle Change Intervention Trial: Strong Hearts Healthy Communities [O] . Brian K. Lo, Meredith L. Graham, Sara C. Folta, 2019

机译：检查参加社区随机化生活方式改变干预试验的妇女中步行得分感知的建筑环境和体育活动行为之间的关联：坚强的心健康的社区
7. Branching random walks in random environment and super-Brownian motion in random environment [O] . Nakashima, Makoto 2013

机译：分支随机遍历随机环境和超布朗运动在随机环境中
8. Random Walk Subject to a Randomly Changing Environment [R] . Ross, S. M. 1983

机译：随机游走受随机变化的环境影响

Variational Formula for Branching Random Walk in Random Environment

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