Seminar Details
Exact Specral Gap and Gap Eigenfunctions for a Class of Graphs Generalizing the Johnson Graphs
- Start Date: April 21, 2022
- Event Start Time: 5:00 PM
- Event End Time: 6:00 PM
- Seminar Series: Experimental Math Seminar
- Presenter(s): Eric Carlen - 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:
We consider a class of graphs describing a system of N particles with r prescribed energy levels that interact through pair "collisions" in which they exchange energies. In the mathematical physics problem associated to this model, the spectral gap of the graph Laplacian on the connected components is of interest. We present a simple method for determining the exact spectral gaps in all cases and all of the gap eigenfunctions. The method also yields some additional information on the spectrum. We discuss some conjectures supported by Maple computations.
This is joint work with Michael Loss.
Link to video: https://vimeo.com/704252776