Home /  Workshop /  Schedules /  (Random) Tri-Diagonal, Doubly Stochastic Matrices, Orthogonal Polynomials and Alternating Permutations

(Random) Tri-Diagonal, Doubly Stochastic Matrices, Orthogonal Polynomials and Alternating Permutations

Random Matrix Theory and Its Applications I September 13, 2010 - September 17, 2010

September 16, 2010 (11:30 AM PDT - 12:10 PM PDT)
Speaker(s): Persi Diaconis (Stanford University)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video
No Video Uploaded
Abstract The set of tri-diagonal, doubly stochastic matrices is a compact convex set. Thus, it makes sense to "pick such a matrix uniformly" and ask about its properties (spectral gap, mixing times, minimum entry, ...). This is intimately connected with the combinatorics of alternating matrices. Jacoby polynomials make a serious appearance. All of this is joint work with Philip Matchett Wood.
Supplements No Notes/Supplements Uploaded
Video/Audio Files
No Video Files Uploaded