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
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.