50 citations · 141 across the 19 of their papers we have counts for
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math-ph2012★ 4 cited
Hypergeometric solution to a gambler's ruin problem with a nonzero halting probability
Ken Yamamoto
This paper treats of a kind of a gambler's ruin problem, which seeks the probability that a random walker first hits the origin at a certain time. In addition to a usual random wal…
math-ph2009★ 7 cited
Topological self-similarity on the random binary-tree model
Ken Yamamoto, Yoshihiro Yamazaki
Asymptotic analysis on some statistical properties of the random binary-tree model is developed. We quantify a hierarchical structure of branching patterns based on the Horton-Stra…