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BEGIN:VEVENT
UID:86c1286539a4b601fc4541c6ded9faee
CATEGORIES:Discrete Math
CREATED:20211104T112942
SUMMARY:Linear cover time is exponentially unlikely
LOCATION:Hill Center Room 705
DESCRIPTION:Abstract: 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 statem
 ent for Markov chains in which all transition probabilities are less than a
  suitable function of C. Joint with Jeff Kahn.\n
X-ALT-DESC;FMTTYPE=text/html:<p><strong>Abstract</strong>: Proving a 2009 conjecture of Itai Benjamini, 
 we show: For any C, there is a &gt; 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 probabili
 ties are less than a suitable function of C. Joint with Jeff Kahn.</p>
CONTACT:: Quentin Dubroff (Rutgers University)
DTSTAMP:20260829T151613
DTSTART;TZID=America/New_York:20211108T140000
DTEND;TZID=America/New_York:20211108T150000
SEQUENCE:0
TRANSP:OPAQUE
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