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UID:b797e0f76503ad3c2f21b7ec303ac846
CATEGORIES:Experimental Mathematics Seminar
CREATED:20220330T114723
SUMMARY:Exact Specral Gap and Gap Eigenfunctions for a Class of Graphs Generalizing the Johnson Graphs
LOCATION:Zoom
DESCRIPTION: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 mathemtical physics problem associated
  to this model, the spectral gap of the graph Laplacian on the connected co
 mponents is of interest. We present a simple method for determining the exa
 ct spectral gaps in all cases, and all of the gap eigenfunctions. The metho
 d also yields some additional information on the spectrum. We discuss some 
 conjectures supported by Maple computations. This is joint work with Michae
 l Loss.\n
X-ALT-DESC;FMTTYPE=text/html:<p style="color: #000000; font-family: 'Times New Roman'; font-size: medium
 ; font-weight: 400; letter-spacing: normal; orphans: 2; text-align: start; 
 text-indent: 0px; text-transform: none; white-space: normal; widows: 2; wor
 d-spacing: 0px;"><em>Abstract</em>: We consider a class of graphs describin
 g a system of N particles with r prescribed energy levels that interact thr
 ough pair "collisions" in which they exchange energies. In the mathemtical 
 physics problem associated to this model, the spectral gap of the graph Lap
 lacian on the connected components is of interest. We present a simple meth
 od 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.</p>
CONTACT:Eric Carlen, Rutgers University
X-EXTRAINFO:Zoom link: https://rutgers.zoom.us/j/94346444480\npassword: The 20th Catala
 n number, alias (40)!/(20!*21!), alias 6564120420
DTSTAMP:20260828T163444
DTSTART;TZID=America/New_York:20220421T170000
DTEND;TZID=America/New_York:20220421T180000
SEQUENCE:0
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