2 citations · 3 across the 2 of their papers we have counts for
3 papers
math.SP2012★ 1 cited
Uniform existence of the integrated density of states for randomly weighted Hamiltonians on long-range percolation graphs
Slim Ayadi, Fabian Schwarzenberger, Ivan Veselic
In this paper we consider random Hamiltonians defined on long-range percolation graphs over $\ZZ^d$. The Hamiltonian consists of a randomly weighted Laplacian plus a random potenti…
math-ph2009★ 2 cited
Asymptotic properties of resolvents of large dilute Wigner matrices
S. Ayadi, O. Khorunzhiy
We study the spectral properties of the dilute Wigner random real symmetric n-dimensional matrices H such that the entries H(i,j) take zero value with probability 1-p/n. We prove t…
math-ph2009
Asymptotic Properties of Random Matrices of Long-Range Percolation Model
Slim Ayadi
We study the spectral properties of matrices of long-range percolation model. These are N\times N random real symmetric matrices H=\{H(i,j)\}_{i,j} whose elements are independent r…