193 citations · 715 across the 44 of their papers we have counts for
44 papers
An Infinite Product of the Incomplete Beta Function-type Hypergeometric Function and its Probabilistic Origins
N. S. Witte
Recently it has been shown that the -Sun density [{\it J. Math. Anal. Appl.}, {\bf 527} (2023), p. 127371] which interpolates between the Fr{é}chet density and that of th…
Gap probabilities for the Bures-Hall Ensemble and the Cauchy-Laguerre Two-Matrix Model
N. S. Witte, L. Wei
The Bures metric and the associated Bures-Hall measure is arguably the best choice for studying the spectrum of the quantum mechanical density matrix with no apriori knowledge of t…
Integrable Differential Systems for Deformed Laguerre-Hahn Orthogonal Polynomials
Maria das Neves Rebocho, Nicholas S. Witte
Our work studies sequences of orthogonal polynomials of the Laguerre-Hahn class, whose Stieltjes functions satisfy a Riccati type differential equat…
Modulated Bi-orthogonal Polynomials on the Unit Circle: The and Systems
Roozbeh Gharakhloo, Nicholas S. Witte
We construct the systems of bi-orthogonal polynomials on the unit circle where the Toeplitz structure of the moment determinants is replaced by $ \det(w_{2j-k})_{0\leq j,k \leq N-1…
Quantum interpolating ensemble: Biorthogonal polynomials and average entropies
Lu Wei, Nicholas Witte
The density matrix formalism is a fundamental tool in studying various problems in quantum information processing. In the space of density matrices, the most well-known measures ar…
Leading corrections to the scaling function on the diagonal for the two-dimensional Ising model
P. J. Forrester, J. H. H. Perk, A. K. Trinh +1
In the neighbourhood of the critical point, the correlation length of the spin-spin correlation function of the two-dimensional Ising model diverges. The correlation function permi…