33 citations · 93 across the 8 of their papers we have counts for
8 papers
Fat-tailed distribution derived from first eigenvector of symmetric random sparse matrix
Hisanao Takahashi
Many solutions for scientific problems rely on finding the first (largest) eigenvalue and eigenvector of a particular matrix. We explore the distribution of the first eigenvector o…
First eigenvalue/eigenvector in sparse random symmetric matrices: influences of degree fluctuation
Yoshiyuki Kabashima, Hisanao Takahashi
The properties of the first (largest) eigenvalue and its eigenvector (first eigenvector) are investigated for large sparse random symmetric matrices that are characterized by bimod…
Finite size scaling of the de Almeida-Thouless instability in random sparse networks
Hisanao Takahashi, Federico Ricci-Tersenghi, Yoshiyuki Kabashima
We study, in random sparse networks, finite size scaling of the spin glass susceptibility , which is a proper measure of the de Almeida-Thouless (AT) instability of spi…
Cavity approach to the first eigenvalue problem in a family of symmetric random sparse matrices
Yoshiyuki Kabashima, Hisanao Takahashi, Osamu Watanabe
A methodology to analyze the properties of the first (largest) eigenvalue and its eigenvector is developed for large symmetric random sparse matrices utilizing the cavity method of…
Analyzing the House Fly's Exploratory Behavior with Autoregression Methods
Hisanao Takahashi, Naoto Horibe, Masakazu Shimada +1
This paper presents a detailed characterization of the trajectory of a single housefly with free range of a square cage. The trajectory of the fly was recorded and transformed into…
Multi-dimensional Density of States by Multicanonical Monte Carlo
Yukito Iba, Hisanao Takahashi
Multi-dimensional density of states provides a useful description of complex frustrated systems. Recent advances in Monte Carlo methods enable efficient calculation of the density…