Timeline for Uniqueness results for lattice spin systems (graphs)
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Nov 24, 2016 at 8:02 | comment | added | Yvan Velenik | There exist many other approaches to prove uniqueness (via suitable coupling methods, via cluster expansion, etc.). However, they are usually harder to check/implement than Dobrushin's one. What are you looking for? | |
| Nov 23, 2016 at 13:08 | comment | added | Martinus Maximus | For a local specification you have to consider its interdependence matrix. If the norm of the matrix is strictly less than 1, then the local specification is compatible with at most one Gibbs measure. (Contraction argument). This procedure can be found in the Book of Anton Bovier - Statistical Mechanics of Disordered Systems. | |
| Nov 23, 2016 at 12:18 | comment | added | Leonid Petrov | Could you please detail how Dobrushin's method works? | |
| Nov 23, 2016 at 10:52 | history | asked | Martinus Maximus | CC BY-SA 3.0 |