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19972026
most citedEfficient Behavior of Small-World Networks

5.1k citations

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Showing 2008 · cond-mat.stat-mechShow all

18 papers · 2 filters

cond-mat.stat-mech2008★ 147 cited

Large Deviations of the Maximum Eigenvalue for Wishart and Gaussian Random Matrices

Satya N. Majumdar, Massimo Vergassola

We present a simple Coulomb gas method to calculate analytically the probability of rare events where the maximum eigenvalue of a random matrix is much larger than its typical valu…

cond-mat.stat-mech2008★ 8 cited

Equation of state for hard sphere fluids with and without Kac tails

E. Trizac, I. Pagonabarraga

In this note, we propose a simple derivation of the one dimensional hard rod equation of state, with and without a Kac tail (appended long range and weak potential). The case of ha…

cond-mat.stat-mech2008★ 28 cited

Overlap Interfaces in Hierarchical Spin-Glass models

Silvio Franz, T Jorg, Giorgio Parisi

We discuss interfaces in spin glasses. We present new theoretical results and a numerical method to characterize overlap interfaces and the stability of the spin-glass phase in ext…

cond-mat.stat-mech2008★ 32 cited

Deformations of the Tracy-Widom distribution

O. Bohigas, J. X. de Carvalho, M. P. Pato

In random matrix theory (RMT), the Tracy-Widom (TW) distribution describes the behavior of the largest eigenvalue. We consider here two models in which TW undergoes transformations…

cond-mat.stat-mech2008★ 30 cited

Statistical Physics of Hard Optimization Problems

Lenka Zdeborová

Optimization is fundamental in many areas of science, from computer science and information theory to engineering and statistical physics, as well as to biology or social sciences.…

cond-mat.stat-mech2008★ 3 cited

Spin glass models with Kac interactions

Silvio Franz

In this paper I will review my work on disordered systems -spin glass model with two body and body interactions- with long but finite interaction range . I will describe t…