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- Kent E. Morrison
- 1995

A linear operator on a Hilbert space may be approximated with finite matrices by choosing an orthonormal basis of the Hilbert space. For an operator that is not compact such approximations cannotâ€¦ (More)

- Andrew J. Hetzel, Jay S. Liew, Kent E. Morrison
- The American Mathematical Monthly
- 2007

1. INTRODUCTION. It is natural to use integer matrices for examples and exercises when teaching a linear algebra course, or, for that matter, when writing a textbook in the subject. After all,â€¦ (More)

- Kent E. Morrison
- 2004

one gets the first actual formula for Ï€ that mankind ever discovered, dating from 1593 and due to FranÃ§ois ViÃ¨te (1540-1603), whose Latinized name is Vieta. (Was any notice taken of the formulaâ€™sâ€¦ (More)

- Kent E. Morrison
- 2006

In this expository article we collect the integer sequences that count several different types of matrices over finite fields and provide references to the Online Encyclopedia of Integer Sequences.â€¦ (More)

- Theresa Migler, Kent E. Morrison, MITCHELL OGLE
- 2008

Abstract. Define the weight of a matrix to be the number of non-zero entries. One would like to count m by n matrices over a finite field by their weight and rank. This is equivalent to determiningâ€¦ (More)

The conjecture of Fisher and Hartwig, published in 1968, describes the asymptotic expansion of Toeplitz determinants with singular generating functions. For more than twenty years progress was madeâ€¦ (More)

- Kent E. Morrison
- 2005

We determine the limiting distribution of the number of eigenvalues of a random nÃ—n matrix over Fq as n â†’ âˆž. We show that the q â†’ âˆž limit of this distribution is Poisson with mean 1. The main tool isâ€¦ (More)

- Kent E. Morrison
- ArXiv
- 2010

You walk into a casino, and just inside the main entrance you see a new game to playâ€”the Multiplication Game. You sit at a table opposite the dealer and place your bet. The dealer hits a button andâ€¦ (More)

- Kent E. Morrison
- Electr. J. Comb.
- 2004

We develop an analog of the exponential families of Wilf in which the label sets are finite dimensional vector spaces over a finite field rather than finite sets of positive integers. The essentialâ€¦ (More)

- Theresa Migler, Kent E. Morrison, MITCHELL OGLE
- 2006

Matrices with very few nonzero entries cannot have large rank. On the other hand matrices without any zero entries can have rank as low as 1. These simple observations lead us to our main question.â€¦ (More)