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DTSTART;TZID=America/Toronto:20230529T113000
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URL:https://uwaterloo.ca/combinatorics-and-optimization/events/algebraic-gr
 aph-theory-steve-kirkland
SUMMARY:Algebraic Graph Theory: Steve Kirkland
CLASS:PUBLIC
DESCRIPTION:TITLE: Eigenvalues for stochastic matrices with a prescribed\ns
 tationary distribution\n\nSpeaker:\n Steve Kirkland\n\nAffiliation:\n Univ
 ersity of Manitoba\n\nLocation:\n Please contact Sabrina Lato for Zoom lin
 k\n\nABSTRACT: A square nonnegative matrix T is called stochastic if all o
 f\nits row sums are equal to 1. Under mild conditions\, it turns out that\
 nthere is a positive row vector w^T (called the stationary distribution\nf
 or T) whose entries sum to 1 such that the powers of T converge to\nthe ou
 ter product of w^T with the all-ones vector. Further\, the nature\nof that
  convergence is governed by the eigenvalues of T.\n\nIn this talk we explo
 re how the stationary distribution for a\nstochastic matrix exerts an infl
 uence on the corresponding\neigenvalues.
DTSTAMP:20260418T211434Z
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