Electronic Resource
Springer
Probability theory and related fields
102 (1995), S. 455-509
ISSN:
1432-2064
Keywords:
60F10
;
60H10
;
60K35
;
82C44
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Summary We study the asymptotic behaviour of asymmetrical spin glass dynamics in a Sherrington-Kirkpatrick model as proposed by Sompolinsky-Zippelius. We prove that the annealed law of the empirical measure on path space of these dynamics satisfy a large deviation principle in the high temperature regime. We study the rate function of this large deviation principle and prove that it achieves its minimum value at a unique probability measureQ which is not markovian. We deduce that the quenched law of the empirical measure converges to δ Q . Extending then the preceeding results to replicated dynamics, we investigate the quenched behavior of a single spin. We get quenched convergence toQ in the case of a symmetric initial law and even potential for the free spin.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01198846
Permalink
|
Location |
Call Number |
Expected |
Availability |