33 citations · 93 across the 8 of their papers we have counts for
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cond-mat.stat-mech2010★ 7 cited
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…
math.OC2010★ 33 cited
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…