RUTGERS EXPERIMENTAL MATHEMATICS SEMINAR

sponsored by the

Rutgers University
Department of Mathematics

and the

Center for Discrete Mathematics and Theoretical Computer Science (DIMACS)

Founded 2003 by Drew Sills and Doron Zeilberger.

Former co-organizers: Drew Sills (2003-2007), Moa ApaGodu (2005-2006), Lara Pudwell (2006-2008), Andrew Baxter (2008-2011), Brian Nakamura (2011-2013), Edinah Gnang (2011-2013), Matthew Russell (2013-2016), Nathan Fox (2016-2017), Bryan Ek (2017-2018), Mingjia Yang (2018-2020), Yonah Biers-Ariel (2018-2020)

Current co-organizers:
Doron Zeilberger (doronzeil {at} gmail [dot] com)
Robert Dougherty-Bliss (robert {dot} w {dot} bliss {at} gmail [dot] com)

Archive of Previous Speakers and Talks You can find links to videos of some of these talks as well. Currently, our videos are being posted to our Vimeo page. Previously, we had videos posted on our YouTube page.


If you would like to be added to the weekly mailing list, email Robert Dougherty-Bliss (robert {dot} w {dot} bliss {at} gmail [dot] com)

Note: due to Dr. Z.'s sabbatical this academic year, this seminar only meets every other Thurs. It will go back to being weekly in Fall 2023.

Forthcoming Talks (Fall 2022)


Date: Sept. 29, 2022, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

Speaker: Alexey Ovchinnikov, CUNY and Queen College

Title: Parameter estimation in discrete-time systems

Abstract:The parameter identifiability problem for a dynamical system is to determine whether the parameters of the system can be found from a given subset of variables of the system. Verifying whether the parameters are indentifiable is a necessary first step before trying to estimate the values of the parameters. We will discuss these problems in the context of discrete-time systems with exponential functions.



Date: Oct. 13, 2022, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

Speaker: Swee Hong Chan, Rutgers University

Title: Sorting probability for Young diagrams

Abstract: Can you always find two elements x,y of a partially ordered set, such that, the probability that x is ordered before y when the poset is ordered randomly, is between 1/3 and 2/3? This is the celebrated 1/3-2/3 Conjecture, which has been called "one of the most intriguing problems in the combinatorial theory of posets". We will explore this conjecture for posets that arise from (skew-shaped) Young diagrams, where total orderings of these posets correspond to standard Young tableaux. We will show that these probabilities are arbitrarily close to 1/2, by using random walk estimates and the state-of-the-art hook-length formulas of Naruse. This is a joint work with Igor Pak and Greta Panova. This talk is aimed at a general audience.



Date: Oct. 27, 2022, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

Speaker: Ilias Kotsireas, Wilfrid Laurier University .

Title: Enumerative combinatorics and coding theory

Subtitle: Eliahou Theory and application to enumerating Legendre Pairs

Abstract: In his seminal 1994 paper entitled "Enumerative combinatorics and coding theory", Shalom Eliahou proposes a theory/method to enumerate the values of a polynomial in n variables with non-negative integer coefficients, assumed on {-1,+1}^n. The method builds an associated binary linear code whose enumeration of certain weight suffices to answer the question. We shall present Eliahou's theory, as well as its application to the problem of enumerating Legendre pairs. For background in Legendre pairs, please consult the ICECA 2022 talk .



Date: Nov. 10, 2022, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

Speaker: Paul Ellis, Rutgers University.

Title: The Arithmetic-Periodicity of the game CUT

Abstract: tbd



Date: Nov. 17, 2022, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

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Date: Dec. 1, 2022, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

Speaker: Orli Herscocvic, Georgia Tech.

Title: tbd

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Date: Dec. 15, 2022, 5:00pm (Eastern Time) Zoom Link [password: The 20th Catalan number, alias (40)!/(20!*21!), alias 6564120420 ]

Speaker: tbd

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