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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:A random walk proof of Kirchhoff's matrix tree the
 orem - Kozdron\, M (University of Regina)
DTSTART;TZID=Europe/London:20150617T113000
DTEND;TZID=Europe/London:20150617T123000
UID:TALK59841AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/59841
DESCRIPTION:Kirchhoff's matrix tree theorem relates the number
  of spanning trees in a graph to the determinant o
 f a matrix derived from the graph. There are a num
 ber of proofs of Kirchhoff's theorem known\, most 
 of which are combinatorial in nature. In this talk
  we will present a relatively elementary random wa
 lk-based proof of Kirchhoff's theorem due to Greg 
 Lawler which follows from his proof of Wilson's al
 gorithm. Moreover\, these same ideas can be applie
 d to other computations related to general Markov 
 chains and processes on a finite state space. Base
 d in part on joint work with Larissa Richards (Tor
 onto) and Dan Stroock (MIT).\n
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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