17 citations · 36 across the 14 of their papers we have counts for
17 papers
Transition Analysis: From the Airy and Pearcey Kernels to the Sine Kernel
Thorsten Neuschel, Martin Venker
We study transitions between the three universal limiting kernels Airy, Pearcey and sine kernel, arising in Random Matrix Theory at edge, cusp and bulk points of the spectrum. Unde…
Boundary Asymptotics of Non-Intersecting Brownian Motions: Pearcey, Airy and a Transition
Thorsten Neuschel, Martin Venker
We study non-intersecting Brownian motions, corresponding to the eigenvalues of an Hermitian Brownian motion. At the boundary of their limit shape we find that only…
Characteristic polynomials of products of Wigner matrices: finite-N results and Lyapunov universality
Gernot Akemann, Friedrich Götze, Thorsten Neuschel
We compute the average characteristic polynomial of the hermitised product of real or complex Wigner matrices of size and the average of the characteristic polynomi…
Critical Behavior of Non-Intersecting Brownian Motions
Tom Claeys, Thorsten Neuschel, Martin Venker
We study non-intersecting Brownian motions corresponding to initial configurations which have a vanishing density in the large limit at an interior point of the support. It…
Boundaries of sine kernel universality for Gaussian perturbations of Hermitian matrices
Tom Claeys, Thorsten Neuschel, Martin Venker
We explore the boundaries of sine kernel universality for the eigenvalues of Gaussian perturbations of large deterministic Hermitian matrices. Equivalently, we study for determinis…
Spectral Densities of Singular Values of Products of Gaussian and Truncated Unitary Random Matrices
Thorsten Neuschel
We study the densities of limiting distributions of squared singular values of high-dimensional matrix products composed of independent complex Gaussian (complex Ginibre) and trunc…
Asymptotic zero distribution of Jacobi-Piñeiro and multiple Laguerre polynomials
Thorsten Neuschel, Walter Van Assche
We give the asymptotic distribution of the zeros of Jacobi-Piñeiro polynomials and multiple Laguerre polynomials of the first kind. We use the nearest neighbor recurrence relations…
Complete Monotonicity and Zeros of Sums of Squared Baskakov Functions
Ulrich Abel, Wolfgang Gawronski, Thorsten Neuschel
We prove complete monotonicity of sums of squares of generalized Baskakov basis functions by deriving the corresponding results for hypergeometric functions. Moreover, in the centr…
On the asymptotic normality of the Legendre-Stirling numbers of the second kind
Wolfgang Gawronski, Lance L. Littlejohn, Thorsten Neuschel
For the Legendre-Stirling numbers of the second kind asymptotic formulae are derived in terms of a local central limit theorem. Thereby, supplements of the recently published asymp…
Jacobi polynomial moments and products of random matrices
Wolfgang Gawronski, Thorsten Neuschel, Dries Stivigny
Motivated by recent results in random matrix theory we will study the distributions arising from products of complex Gaussian random matrices and truncations of Haar distributed un…
A Note on Extended Binomial Coefficients
Thorsten Neuschel
We study the distribution of the extended binomial coefficients by deriving a complete asymptotic expansion with uniform error terms. We obtain the expansion from a local central l…
A New Proof of Stirling's Formula
Thorsten Neuschel
A new simple proof of Stirling's formula via the partial fraction expansion for the tangent function is presented.
Asymptotics for characteristic polynomials of Wishart type products of complex Gaussian and truncated unitary random matrices
Thorsten Neuschel, Dries Stivigny
Based on the multivariate saddle point method we study the asymptotic behavior of the characteristic polynomials associated to Wishart type random matrices that are formed as produ…
Plancherel-Rotach formulae for average characteristic polynomials of products of Ginibre random matrices and the Fuss-Catalan distribution
Thorsten Neuschel
Formulae of Plancherel-Rotach type are established for the average characteristic polynomials of certain Hermitian products of rectangular Ginibre random matrices on the region of…
On a conjecture on sparse binomial-type polynomials by Brown, Dilcher and Manna
Wolfgang Gawronski, Thorsten Neuschel
We prove a conjecture by Brown, Dilcher and Manna on the asymptotic behavior of sparse binomial-type polynomials arising naturally in a graph theoretical context in connection with…
Asymptotics of Chebyshev-Stirling and Stirling numbers of the second kind
Wolfgang Gawronski, Lance L. Littlejohn, Thorsten Neuschel
For the Chebyshev-Stirling numbers, a special case of the Jacobi-Stirling numbers, asymptotic formulae are derived in terms of a local central limit theorem. The underlying probabi…
Apéry Polynomials and the multivariate Saddle Point Method
Thorsten Neuschel
The Apéry polynomials and in particular their asymptotic behavior play an essential role in the understanding of the irrationality of ζ(3). In this paper, we present a method to st…