Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1156783 | Stochastic Processes and their Applications | 2012 | 24 Pages |
Abstract
We consider families of Ehrenfest chains and provide a simple criterion on the Lp-cutoff and the Lp-precutoff with specified initial states for 1â¤p<â. For the family with an Lp-cutoff, a cutoff time is described and a possible window is given. For the family without an Lp-precutoff, the exact order of the Lp-mixing time is determined. The result is consistent with the well-known conjecture on cutoffs of Markov chains proposed by Peres in 2004, which says that a cutoff exists if and only if the multiplication of the spectral gap and the mixing time tends to infinity.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Guan-Yu Chen, Yang-Jen Fang, Yuan-Chung Sheu,