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Washington State
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Combinatorics, Linear Algebra and Number Theory Seminar

Department of Mathematics and Statistics

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October 25, Monday, 4:10 - 5:00 PM

Jessica Dickson

Department of Mathematics and Statistics

Washington State University

Combinatorics, Linear Algebra and Number Theory Seminar

Department of Mathematics and Statistics

Zoom

October 25, Monday, 4:10 - 5:00 PM

Jessica Dickson

Department of Mathematics and Statistics

Washington State University

Title: The Transformation of Sequences via Riordan
Arrays

Abstract: Riordan arrays can be thought of as infinite, lower triangle matrices defined by a pair of generating functions. In this seminar we discuss the Fundamental Theorem of Riordan Arrays which describes how Riordan arrays act on column vectors and how this is used to form a mapping from one sequence to another. We then look at new research on how the addition of Riordan arrays may also be used to generate similar results.

This seminar includes a description of my experience at the Graduate Research Workshop in Combinatorics 2021 where this research was the result of a joint project with Caroline Bang, Matias von Bell, Eric Culver, Stoyan Dimitrov, Rachel Perrier, and Sheila Sundaram.

Abstract: Riordan arrays can be thought of as infinite, lower triangle matrices defined by a pair of generating functions. In this seminar we discuss the Fundamental Theorem of Riordan Arrays which describes how Riordan arrays act on column vectors and how this is used to form a mapping from one sequence to another. We then look at new research on how the addition of Riordan arrays may also be used to generate similar results.

This seminar includes a description of my experience at the Graduate Research Workshop in Combinatorics 2021 where this research was the result of a joint project with Caroline Bang, Matias von Bell, Eric Culver, Stoyan Dimitrov, Rachel Perrier, and Sheila Sundaram.