27 citations · 98 across the 20 of their papers we have counts for
21 papers
Determinant formulas for finite Toeplitz plus Hankel matrices with rational symbols
Estelle Basor, Kent E. Morrison
In 1975 K. Michael Day produced an exact formula for the determinants of finite Toeplitz matrices whose symbols are rational. The answer is a sum that involves powers of the roots…
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…
Exact probabilities for three and four dice in the balanced uniform model of 3-sided dice
Kent E. Morrison
We determine the exact probabilities of the different isomorphism classes of tournaments that result from random sets of three and four independent dice drawn from the balanced uni…
Knots and ones
Estelle Basor, Brian Conrey, Kent E. Morrison
We give a number theoretic proof of the integrality of certain BPS invariants of knots. The formulas for these numbers are sums involving binomial coefficients and the Möbius funct…
The trace as an average over the unit sphere of a normed space with a 1-symmetric basis
Tomasz Kania, Kent E. Morrison
We generalise the formula expressing the matrix trace of a given square matrix as the integral of the numerical values of over the Euclidean sphere to the unit spheres of finit…
Yang-Mills connections on surfaces and representations of the path group
Kent E. Morrison
We prove that Yang-Mills connections on a surface are characterized as those with the property that the holonomy around homotopic closed paths only depends on the oriented area bet…