Seminar Details
Counting Baxter Matrices
- Start Date: November 18, 2021
- Event Start Time: 5:00 PM
- Event End Time: 6:00 PM
- Seminar Series: Experimental Math Seminar
- Presenter(s): George Spahn - Rutgers University
- Event Location: Online Event
- Event Additional Info: <p>Presented Via Zoom: <a href="https://rutgers.zoom.us/j/94346444480">https://rutgers.zoom.us/j/94346444480</a></p> <p>Password: 6564120420</p> <p>For further information see: <a href="https://sites.math.rutgers.edu/~zeilberg/expmath/">https://sites.math.rutgers.edu/~zeilberg/expmath/</a></p>
- Presentation Type: Stand Alone Presentation
- Abstract:
Donald Knuth recently introduced the notion of a Baxter matrix, generalizing Baxter permutations. We show that for fixed number of rows, r, the number of Baxter matrices with r rows and r columns eventually satisfies a polynomial in r of degree 2r-2. We also give a proof of Knuth’s conjecture that the number of ones in a r by k Baxter matrix is less than r+k.
Link to video: https://vimeo.com/647813015