Levin, David A., Luczak, Malwina J. and Peres, Yuval (2010) Glauber dynamics for the mean-field Ising model: cut-off, critical power law, and metastability. Probability Theory and Related Fields, 146 (1-2). pp. 223-265. ISSN 0178-8051
Full text not available from this repository.Abstract
We study the Glauber dynamics for the Ising model on the complete graph, also known as the Curie–Weiss Model. For β < 1, we prove that the dynamics exhibits a cut-off: the distance to stationarity drops from near 1 to near 0 in a window of order n centered at [2(1 − β)]−1 n log n. For β = 1, we prove that the mixing time is of order n 3/2. For β > 1, we study metastability. In particular, we show that the Glauber dynamics restricted to states of non-negative magnetization has mixing time O(n log n).
| Item Type: | Article |
|---|---|
| Official URL: | http://www.springer.com/mathematics/probability/jo... |
| Additional Information: | © 2010 Springer |
| Divisions: | Mathematics |
| Subjects: | Q Science > QA Mathematics |
| Date Deposited: | 01 Dec 2010 12:18 |
| Last Modified: | 22 Apr 2024 07:06 |
| URI: | http://eprints.lse.ac.uk/id/eprint/29589 |
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