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URL:/combinatorics-and-optimization/events/algebraic-gr
 aph-theory-steve-kirkland
SUMMARY:Algebraic Graph Theory: Steve Kirkland
CLASS:PUBLIC
DESCRIPTION:Summary \n\nTITLE: Eigenvalues for stochastic matrices with a p
 rescribed\nstationary distribution\n\nSpeaker:\n Steve Kirkland\n\nAffilia
 tion:\n University of Manitoba\n\nLocation:\n Please contact Sabrina Lato 
 for Zoom link\n\nABSTRACT: A square nonnegative matrix T is called stochas
 tic if all of\nits row sums are equal to 1. Under mild conditions\, it tur
 ns out that\nthere is a positive row vector w^T (called the stationary dis
 tribution\nfor T) whose entries sum to 1 such that the powers of T converg
 e to\nthe outer product of w^T with the all-ones vector. Further\, the nat
 ure\nof that convergence is governed by the eigenvalues of T.\n\nIn this t
 alk we explore how the stationary distribution for a\nstochastic matrix ex
 erts an influence on the corresponding\neigenvalues. \n 
DTSTAMP:20250521T210316Z
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