On statistical mechanics of a single particle in high-dimensional random landscapes
| dc.creator | Fyodorov, Yan V | |
| dc.date | 2008-01-04 | |
| dc.date.accessioned | 2026-07-07T08:52:39Z | |
| dc.date.available | 2026-07-07T08:52:39Z | |
| dc.description | We discuss recent results of the replica approach to statistical mechanics of a single classical particle placed in a random N(>>1)-dimensional Gaussian landscape. The particular attention is paid to the case of landscapes with logarithmically growing correlations and to its recent generalisations. Those landscapes give rise to a rich multifractal spatial structure of the associated Boltzmann-Gibbs measure. We also briefly mention related results on counting stationary points of random Gaussian surfaces, as well as ongoing research on statistical mechanics in a random landscape constructed locally by adding many squared Gaussian-distributed terms. | |
| dc.description | This is mainly a conference presentation summarizing results of arXiv:0706.3776; arXiv:0711.4006 and arXiv:cond-mat/0610035. The work in progress and some new results are briefly discussed in the last part | |
| dc.identifier | https://arxiv.org/abs/0801.0732 | |
| dc.identifier | http://arxiv.org/abs/0801.0732 | |
| dc.identifier | ACTA PHYSICA POLONICA B, vol. 38 (2007), pp. 4055-4066 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/145350 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Statistical Mechanics | |
| dc.title | On statistical mechanics of a single particle in high-dimensional random landscapes | |
| dc.type | text |