148 citations · 307 across the 5 of their papers we have counts for
9 papers
Cavity approach to the spectral density of non-Hermitian sparse matrices
Tim Rogers, Isaac Perez Castillo
The spectral densities of ensembles of non-Hermitian sparse random matrices are analysed using the cavity method. We present a set of equations from which the spectral density of a…
The two-spinon transverse structure factor of the gapped Heisenberg antiferromagnetic chain
J. -S. Caux, J. Mossel, I. Pérez Castillo
We consider the transverse dynamical structure factor of the anisotropic Heisenberg spin-1/2 chain (XXZ model) in the gapped antiferromagnetic regime (). Specializing to the…
Cavity Approach to the Spectral Density of Sparse Symmetric Random Matrices
Tim Rogers, Koujin Takeda, Isaac Pérez Castillo +1
The spectral density of various ensembles of sparse symmetric random matrices is analyzed using the cavity method. We consider two cases: matrices whose associated graphs are local…
Von Neumann's expanding model on random graphs
A De Martino, C Martelli, R Monasson +1
Within the framework of Von Neumann's expanding model, we study the maximum growth rate r achievable by an autocatalytic reaction network in which reactions involve a finite (fixed…
Gardner optimal capacity of the diluted Blume-Emery-Griffiths neural network
D. Bolle', I. Perez Castillo
The optimal capacity of a diluted Blume-Emery-Griffiths neural network is studied as a function of the pattern activity and the embedding stability using the Gardner entropy approa…
Statistical mechanics analysis of the equilibria of linear economies
A. De Martino, M. Marsili, I. Perez Castillo
The optimal (`equilibrium') macroscopic properties of an economy with industries endowed with different technologies, commodities and one consumer are derived in the limit…