English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We study the mixing time of a random walker who moves inside a dynamicalrandom cluster model on the d-dimensional torus of side-length n. In thismodel, edges switch at rate \mu between open and closed, following a Glauberdynamics for the random cluster model with parameters p,q. At the same time,the walker jumps at rate 1 as a simple random walk on the torus, but is onlyallowed to traverse open edges. We show that for small enough p the mixing timeof the random walker is of order n^2/\mu. In our proof we construct of anon-Markovian coupling through a multi-scale analysis of the environment, whichwe believe could be more widely applicable.

Mixing time of random walk on dynamical random cluster