Gentz, B (1996). An almost sure central limit theorem for the overlap parameters in the Hopfield model. Stochastic Processes and their Applications, 62(2):243-262.
We consider the Hopfield model with a finite number of randomly chosen patterns above and below the critical temperature and prove an almost sure conditional central limit theorem for the vector of overlap parameters. For this purpose we analyse the almost sure asymptotic behaviour of the partition function.
We consider the Hopfield model with a finite number of randomly chosen patterns above and below the critical temperature and prove an almost sure conditional central limit theorem for the vector of overlap parameters. For this purpose we analyse the almost sure asymptotic behaviour of the partition function.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > Statistics and Probability
Physical Sciences > Modeling and Simulation Physical Sciences > Applied Mathematics |
| Language: | English |
| Date: | 1996 |
| Deposited On: | 04 Nov 2009 16:01 |
| Last Modified: | 03 Dec 2023 02:42 |
| Publisher: | Elsevier |
| ISSN: | 0304-4149 |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.1016/0304-4149(96)00055-5 |
| Related URLs: | http://www.ams.org/mathscinet-getitem?mr=1397706 |
Gentz, B