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pro vyhledávání: '"Neuschel, Thorsten"'
Autor:
Neuschel, Thorsten
We explore the asymptotic behavior of the centroids of random polygons constructed from regular polygons with vertices on the unit circle by extending the rays so that their lengths form a random permutation of the first (n) integers. Surprisingly, t
Externí odkaz:
http://arxiv.org/abs/2407.06960
Autor:
Neuschel, Thorsten, Venker, Martin
We study $n$ non-intersecting Brownian motions, corresponding to the eigenvalues of an $n\times n$ Hermitian Brownian motion. At the boundary of their limit shape we find that only three universal processes can arise: the Pearcey process close to mer
Externí odkaz:
http://arxiv.org/abs/2212.03816
Publikováno v:
Electron. Commun. Probab. 26 (2021) article no. 30, 1-13
We compute the average characteristic polynomial of the hermitised product of $M$ real or complex Wigner matrices of size $N\times N$ and the average of the characteristic polynomial of a product of $M$ such Wigner matrices times the characteristic p
Externí odkaz:
http://arxiv.org/abs/2006.15180
Publikováno v:
Commun. Math. Phys. 378, no. 2 (2020) 1501-1537
We study $n$ non-intersecting Brownian motions corresponding to initial configurations which have a vanishing density in the large $n$ limit at an interior point of the support. It is understood that the point of vanishing can propagate up to a criti
Externí odkaz:
http://arxiv.org/abs/1912.02142
Publikováno v:
Random Matrices Theory Appl. 8, no. 3, 50 pp., 2019
We explore the boundaries of sine kernel universality for the eigenvalues of Gaussian perturbations of large deterministic Hermitian matrices. Equivalently, we study for deterministic initial data the time after which Dyson's Brownian motion exhibits
Externí odkaz:
http://arxiv.org/abs/1712.08432
Autor:
Neuschel, Thorsten
We study the densities of limiting distributions of squared singular values of high-dimensional matrix products composed of independent complex Gaussian (complex Ginibre) and truncated unitary matrices which are taken from Haar distributed unitary ma
Externí odkaz:
http://arxiv.org/abs/1511.03491
Autor:
Neuschel, Thorsten, Van Assche, Walter
Publikováno v:
J. Approx. Theory 250 (2016), 114-132
We give the asymptotic distribution of the zeros of Jacobi-Pi\~neiro polynomials and multiple Laguerre polynomials of the first kind. We use the nearest neighbor recurrence relations for these polynomials and a recent result on the ratio asymptotics
Externí odkaz:
http://arxiv.org/abs/1509.04542
Akademický článek
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We prove complete monotonicity of sums of squares of generalized Baskakov basis functions by deriving the corresponding results for hypergeometric functions. Moreover, in the central Baskakov case we study the distribution of the complex zeros for la
Externí odkaz:
http://arxiv.org/abs/1411.7945
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 asymptotic analysis of the Chebyshev-Stirling numbers are established. More
Externí odkaz:
http://arxiv.org/abs/1408.0477