Speaker: J. Carlos Martinez Mori, Georgia Institute of Technology
Title: “Who's the GOAT? Sports Rankings and Data-Driven Random Walks on the Symmetric Group”
Abstract:Given a collection of historical sports rankings, can one tell which player is the greatest of all time (i.e., the GOAT)? In this work, we design a data-driven random walk on the symmetric group to obtain a stationary distribution over player rankings, spanning across different time periods in sports history. We combine this distribution with a notion of stochastic dominance to obtain a partial order over the players. We implement our methods using publicly available data from the Association of Tennis Professionals (ATP) and the Women’s Tennis Association (WTA) to find the GOATs in the respective categories. We conclude with potential uses of our methods for route planning in logistics. This is joint work with Gian-Gabriel P. Garcia.

The Discrete Math Seminar (DMS) is intended for Kennesaw State faculty working in the various areas of algebra, number theory, and discrete mathematics to get together to discuss their current work or related questions. Seminars often involve advanced mathematical knowledge. However, the seminars are open to anyone interested in attending. This talk will take place in person and virtually.

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