3 citations · 9 across the 13 of their papers we have counts for
5 papers · 1 filter
Diffusion on a Hypersphere: Application to the Wright-Fisher model
Kishiko Maruyama, Yoshiaki Itoh
The eigenfunction expansion by Gegenbauer polynomials for the diffusion on a hypersphere is transformed into the diffusion for the Wright-Fisher model with a particular mutation ra…
From coin-tossing to rock-paper-scissors and beyond: A log-exp gap theorem for selecting a leader
Michael Fuchs, Hsien-Kuei Hwang, Yoshiaki Itoh
A class of games for finding a leader among a group of candidates is studied in detail. This class covers games based on coin-tossing and rock-paper-scissors as special cases and i…
Continuum Cascade Model: Branching Random Walk for Traveling Wave
Yoshiaki Itoh
The food web is a directed graph in which nodes label species and directed links represent the predation between species. The cascade model generates random food webs. The continuu…
A binomial splitting process in connection with corner parking problems
Michael Fuchs, Hsien-Kuei Hwang, Yoshiaki Itoh +1
A special type of binomial splitting process is studied. Such a process can be used to model a high-dimensional corner parking problem, as well as the depth of random PATRICIA trie…
Continuum Cascade Model of Directed Random Graphs: Traveling Wave Analysis
Yoshiaki Itoh, P. L. Krapivsky
We study a class of directed random graphs. In these graphs, the interval [0,x] is the vertex set, and from each y\in [0,x], directed links are drawn to points in the interval (y,x…