Journal
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN
Volume 67, Issue 4, Pages 1801-1843Publisher
MATH SOC JAPAN
DOI: 10.2969/jmsj/06741801
Keywords
Gaussian free field; level-set percolation; disconnection
Categories
Funding
- Joseph Meyerhoff Visiting Professorship at the Weizmann Institute of Science in Rehovot, Israel
Ask authors/readers for more resources
We study the level-set percolation of the Gaussian free field on Z(d), d >= 3. We consider a level alpha such that the excursion-set of the Gaussian free field above a percolates. We derive large deviation estimates on the probability that the excursion-set of the Gaussian free field below the level alpha disconnects a box of large side-length from the boundary of a larger homothetic box. It remains an open question whether our asymptotic upper and lower bounds are matching. With the help of a recent work of Lupu [21], we are able to infer some asymptotic upper bounds for similar disconnection problems by random interlacements, or by simple random walk.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available