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Direct estimates on intersection probabilities of random walks
Authors:Yong Moon Park
Institution:(1) Department of Physics, Princeton University, 08544 Princeton, New Jersey;(2) Present address: Department of Mathematics, Yonsei University, 120-749 Seoul, Korea
Abstract:A study is made of intersection properties of independent random walks ind-dimensional lattice spaceZ d . A simple method is developed which makes it possible to estimate intersection probalities of two random walks with killing ratem directly. It is expected that the method can be generalized and extended to other issues.
Keywords:Random walks  intersection probabilities  decoupling identity  path splitting method
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