Mathematics – Probability
Scientific paper
2011-11-10
Mathematics
Probability
Scientific paper
The purpose of this paper is to show how one can extend some results on disorder relevance obtained for the random pinning model with i.i.d disorder to the model with finite range correlated disorder. In a previous work, the annealed critical curve of the latter model was computed, and equality of quenched and annealed critical points, as well as exponents, was proved under some conditions on the return exponent of the interarrival times. Here we complete this work by looking at the disorder relevant regime, where annealed and quenched critical points differ. All these results show that the Harris criterion, which was proved to be correct in the i.i.d case, remains valid in our setup. We strongly use Markov renewal constructions that were introduced in the solving of the annealed model.
No associations
LandOfFree
Random pinning model with finite range correlations : disorder relevant regime 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 Random pinning model with finite range correlations : disorder relevant regime, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Random pinning model with finite range correlations : disorder relevant regime will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-727880