Title
Mixing points on a circle
Abstract
We determine, up to a log factor, the mixing time of a Markov chain whose state space consists of the successive distances between n labeled “dots” on a circle, in which one dot is selected uniformly at random and moved to a uniformly random point between its two neighbors. The method involves novel use of auxiliary discrete Markov chains to keep track of a vector of quadratic parameters.
Year
DOI
Venue
2005
10.1007/11538462_36
APPROX-RANDOM
Keywords
Field
DocType
successive distance,quadratic parameter,auxiliary discrete markov chain,state space,log factor,novel use,markov chain,random point,mixing time
Total variation,Discrete mathematics,Combinatorics,Markov chain,Quadratic equation,Combinatorial optimization,Stationary distribution,State space,Mathematics
Conference
Volume
ISSN
ISBN
3624
0302-9743
3-540-28239-4
Citations 
PageRank 
References 
0
0.34
8
Authors
2
Name
Order
Citations
PageRank
Dana Randall1298.15
Peter Winkler258385.60