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8 papers · 1 filter
Networks maximizing the consensus time of voter models
Yuni Iwamasa, Naoki Masuda
We explore the networks that yield the largest mean consensus time of voter models under different update rules. By analytical and numerical means, we show that the so-called lolli…
State Concentration Exponent as a Measure of Quickness in Kauffman-type Networks
Shun-ichi Amari, Hiroyasu Ando, Taro Toyoizumi +1
We study the dynamics of randomly connected networks composed of binary Boolean elements and those composed of binary majority vote elements. We elucidate their differences in both…
Enhancing the spectral gap of networks by node removal
Takamitsu Watanabe, Naoki Masuda
Dynamics on networks are often characterized by the second smallest eigenvalue of the Laplacian matrix of the network, which is called the spectral gap. Examples include the thresh…
Disorder effect on 3-dimensional quantum spin Hall systems
Ryuichi Shindou, Shuichi Murakami
In this paper, we studied the nonmagnetic disorder effects onto the quantum critical point (QCP) which intervenes an ordinary insulator and the 3-dimensional quantum spin Hal…
Interplay between carrier localization and magnetism in diluted magnetic and ferromagnetic semiconductors
Tomasz Dietl
The presence of localized spins exerts a strong influence on quantum localization in doped semiconductors. At the same time carrier-mediated interactions between the localized spin…
Testing the transition state theory in stochastic dynamics of a genetic switch
Tomohiro Ushikubo, Wataru Inoue, Mitsumasa Yoda +1
Stochastic dynamics of chemical reactions in a mutually repressing two-gene circuit is numerically simulated. The circuit has a rich variety of different states when the kinetic ch…