From charged polymers to random walk in random scenery
From charged polymers to random walk in random scenery
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DOI：
10.1214/09-lnms5714
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发表时间：
2008
影响因子：
1
通讯作者：
Xia Chen;D. Khoshnevisan
中科院分区：
文献类型：
--
作者：
Xia Chen;D. Khoshnevisan
我们证明了随机环境中两个完全不同的随机游动模型在一般情况下是非常接近的。一种模型来自统计物理学，描述了随机带电的随机聚合物的行为。另一个模型来自概率论，最初是为了描述一个大家族的渐近自相似过程，具有平稳增量。AMS 2000科目分类：小学：60 K35;中学：60 K37。
We prove that two seemingly-different models of random walk in random environment are generically quite close to one another. One model comes from statistical physics, and describes the behavior of a randomlycharged random polymer. The other model comes from probability theory, and was originally designed to describe a large family of asymptotically self-similar processes that have stationary increments. AMS 2000 subject classifications: Primary: 60K35; Secondary: 60K37.