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Limiting eigenvalue distribution of random matrices of Ihara zeta function of long-range percolation graphs

Limiting eigenvalue distribution of random matrices of Ihara zeta function of long-range percolation graphs

We consider the ensemble of [Formula: see text] real random symmetric matrices [Formula: see text] obtained from the determinant form of the Ihara zeta function associated to random graphs [Formula: see text] of the long-range percolation radius model with the edge probability determined by a function [Formula: see text]. We …