98 citations
- University of BristolGB17 papers
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- Centre National de la Recherche ScientifiqueFR4 papers
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116 papers
Matching adjacent cards
Kent E. Morrison
In a well-shuffled deck of cards, what is the probability that somewhere in the deck there are adjacent cards of the same rank? What is the average number of adjacent matches? What…
SUSHI: An algorithm for source separation of hyperspectral images with non-stationary spectral variation
Julia Lascar, Jérôme Bobin, Fabio Acero
Hyperspectral images are data cubes with two spatial dimensions and a third spectral dimension, providing a spectrum for each pixel, and thus allow the mapping of extended sources'…
Asymptotics of block Toeplitz determinants with piecewise continuous symbols
E. Basor, T. Ehrhardt, J. A. Virtanen
We determine the asymptotics of the block Toeplitz determinants as for matrix-valued piecewise continuous functions with a finitely many…
An unconditional Montgomery Theorem for Pair Correlation of Zeros of the Riemann Zeta Function
Siegfred Alan C. Baluyot, Daniel Alan Goldston, Ade Irma Suriajaya +1
Assuming the Riemann Hypothesis (RH), Montgomery proved a theorem concerning pair correlation of zeros of the Riemann zeta-function. One consequence of this theorem is that, assumi…
Hilbert transforms and the equidistribution of zeros of polynomials
Emanuel Carneiro, Mithun Kumar Das, Alexandra Florea +5
We improve the current bounds for an inequality of Erdős and Turán from 1950 related to the discrepancy of angular equidistribution of the zeros of a given polynomial. Building upo…
Mixed moments of characteristic polynomials of random unitary matrices
Emma C. Bailey, Sandro Bettin, Gordon Blower +4
Following the work of Conrey, Rubinstein and Snaith and Forrester and Witte we examine a mixed moment of the characteristic polynomial and its derivative for matrices from the unit…