Sharp thresholds for the random-cluster and Ising models

Details Sharp thresholds for the random-cluster and Ising models Sharp thresholds for the random-cluster and Ising models

2009-03-09

arxiv.org/abs/0903.1501v2

Annals of Applied Probability 2011, Vol. 21, No. 1, 240-265

Mathematics

Probability

Published in at http://dx.doi.org/10.1214/10-AAP693 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Inst

Scientific paper

10.1214/10-AAP693

A sharp-threshold theorem is proved for box-crossing probabilities on the square lattice. The models in question are the random-cluster model near the self-dual point $p_{\mathrm {sd}}(q)=\sqrt{q}/(1+\sqrt{q})$, the Ising model with external field, and the colored random-cluster model. The principal technique is an extension of the influence theorem for monotonic probability measures applied to increasing events with no assumption of symmetry.

Affiliated with

Also associated with

No associations

Rating

Sharp thresholds for the random-cluster and Ising models does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Sharp thresholds for the random-cluster and Ising models, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Sharp thresholds for the random-cluster and Ising models will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-95499