Yasunari Fukai

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math.PR2015

A Property of Random Walks on a Cycle Graph

Yuki Ikeda, Yasunari Fukai, Yoshihiro Mizoguchi

We analyze the Hunter vs Rabbit game on graph, which is a kind of model of communication in an adhoc mobile network. Let $G$ be a cycle graph with $N$ nodes. The hunter can move fr…

math.PR2012

Hitting time of a half-line by a two-dimensional nonsymmetric random walk

Yasunari Fukai

We consider the probability that a two-dimensional random walk starting from the origin never returns to the half-line $(- \infty, 0] \times 0$ before time $n$ . Let $X^{(1)}=(X_{…