33 citations · 46 across the 4 of their papers we have counts for
4 papers
Chases and Escapes, and Optimization Problems
Toru Ohira
We propose a new approach for solving combinatorial optimization problem by utilizing the mechanism of chases and escapes, which has a long history in mathematics. In addition to t…
Quantification of group chasing and escaping process
S. Matsumoto, A. Kamimura, T. Nogawa +3
We study a simple group chase and escape model by introducing new parameters with which configurations of chasing and escaping in groups are classified into three characteristic pa…
From the Frenkel-Kontorova model to Josephson junction arrays - the Aubry's transition as a jamming-glass transition -
Hajime Yoshino, Tomoaki Nogawa, Bongsoo Kim
The Frenkel Kontorova (FK) model is known to exhibit the so called Aubry's transition which is a jamming or frictional transition at zero temperature. Recently we found similar tra…
Monte-Carlo simulation study of the two-stage percolation transition in enhanced binary trees
Tomoaki Nogawa, Takehisa Hasegawa
We perform Monte-Carlo simulations to study the Bernoulli () bond percolation on the enhanced binary tree which belongs to the class of nonamenable graphs with one end. Our nume…