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4 papers · 1 filter
Janossy densities for Unitary ensembles at the spectral edge
Brian Rider, Xin Zhou
For a broad class of unitary ensembles of random matrices we demonstrate the universal nature of the Janossy densities of eigenvalues near the spectral edge, providing a different…
Concentration of permanent estimators for certain large matrices
Shmuel Friedland, Brian Rider, Ofer Zeitouni
Let A_n=(a_{ij})_{i,j=1}^n be an n\times n positive matrix with entries in [a,b], 0<a\le b. Let X_n=(\sqrta_{ij}x_{ij})_{i,j=1}^n be a random matrix, where {x_{ij}} are i.i.d. N(0,…
Perfect Sampling Using Bounding Chains
Mark Huber
Bounding chains are a technique that offers three benefits to Markov chain practitioners: a theoretical bound on the mixing time of the chain under restricted conditions, experimen…
Deviations from the Circular Law
Brian Rider
Consider Ginibre's ensemble of non-Hermitian random matrices in which all entries are independent complex Gaussians of mean zero and variance . As $N \upa…