These notes are based on lectures delivered by the authors at a Langeoog seminar of
SFB/TR12 Symmetries and Universality in Mesoscopic Systems to a mixed audience of …

The purpose of this review is to present some of the latest developments using random
techniques, and in particular, random matrix techniques in quantum information theory. Our …

Interpolation Processes: Basic Theory and Applications | SpringerLink Skip to main content
Advertisement SpringerLink Log in Menu Find a journal Publish with us Search Cart Book …

We study the asymptotics in n for n-dimensional Toeplitz determinants whose symbols
possess Fisher-Hartwig singularities on a smooth background. We prove the general …

Let A and B be independent, central Wishart matrices in p variables with common
covariance and having m and n degrees of freedom, respectively. The distribution of the …

We show that repulsive random variables can yield Monte Carlo methods with faster
convergence rates than the typical N^-1/2, where N is the number of integrand evaluations …

We obtain exponentially accurate Fourier series for nonperiodic functions on the interval -1,1
by extending these functions to periodic functions on a larger domain. The series may be …

We prove that when suitably normalized, small enough powers of the absolute value of the
characteristic polynomial of random Hermitian matrices, drawn from one-cut regular unitary …

Abstract We obtain Plancherel–Rotach-type asymptotics valid in all regions of the complex
plane for orthogonal polynomials with varying weights of the form on the real line, assuming …

Average-case analysis computes the complexity of an algorithm averaged over all possible
inputs. Compared to worst-case analysis, it is more representative of the typical behavior of …