Serguei, Popov and Balazs, Rath (2015) On decoupling inequalities and percolation of excursion sets of the Gaussian free field. Journal of Statistical Physics, 159 (2). pp. 312-320. ISSN 0022-4715
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Official URL: http://link.springer.com/article/10.1007%2Fs10955-...
Abstract
We prove decoupling inequalities for the Gaussian free field on Z^d, d>=3. As an application, we obtain exponential decay (with logarithmic correction for d=3) of the connectivity function of excursion sets for large values of the threshold.
| Item Type: | Article |
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| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| Depositing User: | Dr. Balázs Ráth |
| Date Deposited: | 23 Sep 2015 03:06 |
| Last Modified: | 04 Apr 2023 11:07 |
| URI: | http://real.mtak.hu/id/eprint/27382 |
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