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What is...? Seminar - James Enouen

What is...? Seminar
July 30, 2019
4:00PM - 5:00PM
Scott Lab N050

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Add to Calendar 2019-07-30 16:00:00 2019-07-30 17:00:00 What is...? Seminar - James Enouen Title: What is the Perfect Shuffle? Speaker: James Enouen (Ohio State University) Abstract: A standard 52-card deck of playing cards is shuffled "perfectly" when no adjacent card has the same value. The desire to call this type of shuffle "perfect" preys on our tendency to misunderstand and incorrectly generalize probability. In order to answer this question we will begin by studying rook polynomials which describe restrictions of permutations. Finally, we will explore how Ira Gessel's 1988 generalizations of rook polynomials yield means to provide an answer to this difficult combinatorial question. Seminar URL: http://math.osu.edu/whatis Scott Lab N050 Department of Mathematics math@osu.edu America/New_York public

Title: What is the Perfect Shuffle?

Speaker: James Enouen (Ohio State University)

Abstract: A standard 52-card deck of playing cards is shuffled "perfectly" when no adjacent card has the same value. The desire to call this type of shuffle "perfect" preys on our tendency to misunderstand and incorrectly generalize probability. In order to answer this question we will begin by studying rook polynomials which describe restrictions of permutations. Finally, we will explore how Ira Gessel's 1988 generalizations of rook polynomials yield means to provide an answer to this difficult combinatorial question.

Seminar URL: http://math.osu.edu/whatis

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