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* Princeton Discrete Math Seminar *
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Speaker: Quentin Dubroff (Rutgers)
Thursday Feb 10, 3:00 in Fine Hall 224.
Title: Linear cover time is exponentially unlikely
Proving a 2009 conjecture of Itai Benjamini, we show: For any C,
there is a > 0 such that for any simple random walk on an n-vertex graph G,
the probability that the first Cn steps of the walk hit every vertex of G is
at most exp[-an]. A first ingredient of the proof is a similar statement for
Markov chains in which all transition probabilities are less than a suitable
function of C. Joint with Jeff Kahn.
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Next week: Ohad Klein
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