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math.PR2018★ 1 cited
Decomposing Correlated Random Walks on Common and Counter Movements
Tianyao Chen, Xue Cheng, Jingping Yang
Random walk is one of the most classical and well-studied model in probability theory. For two correlated random walks on lattice, every step of the random walks has only two state…
math.PR2017★ 1 cited
Bessel bridge representation for heat kernel in hyperbolic space
Xue Cheng, Tai-Ho Wang
This article shows a Bessel bridge representation for the transition density of Brownian motion on the Poincare space. This transition density is also referred to as the heat kerne…