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UID:695a6726e5fe013e3744ba59b5512e46
CATEGORIES:Mathematical Physics Seminar
CREATED:20211004T123653
SUMMARY:Linear cover time is exponentially unlikely
LOCATION:Hill Center 705
DESCRIPTION:Abstract:  Proving a 2009 conjecture of Itai Benjamini, we show: For any C 
 there is c > 0 so that for any simple random walk on an n-vertex graph G
 , the probability that the first Cn steps of the walk see every vertex is l
 ess than exp[-cn]. A first ingredient in the proof of this is a similar sta
 tement for Markov chains in which all transition probabilities are less tha
 n a suitable function of C. Joint with Quentin Dubroff.\n
X-ALT-DESC;FMTTYPE=text/html:<p style="margin: 0px 0px 10px;">Abstract:&nbsp; Proving a 2009 conjecture 
 of Itai Benjamini, we show: For any C there is c &gt; 0 so that for any sim
 ple random walk on an n-vertex graph G, the probability that the first Cn s
 teps of the walk see every vertex is less than exp[-cn]. A first ingredient
  in the proof of this is a similar statement for Markov chains in which all
  transition probabilities are less than a suitable function of C. Joint wit
 h Quentin Dubroff.</p>
CONTACT:Jeff Kahn - Rutgers University
DTSTAMP:20260827T115848
DTSTART;TZID=America/New_York:20211007T132000
DTEND;TZID=America/New_York:20211007T142000
SEQUENCE:0
TRANSP:OPAQUE
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