Geometrically constrained statistical systems on regular and random lattices: From folding to meanders
| dc.creator | Di Francesco, P. | |
| dc.creator | Guitter, E. | |
| dc.date | 2005-05-11 | |
| dc.date.accessioned | 2026-07-07T03:05:10Z | |
| dc.date.available | 2026-07-07T03:05:10Z | |
| dc.description | We review a number a recent advances in the study of two-dimensional statistical models with strong geometrical constraints. These include folding problems of regular and random lattices as well as the famous meander problem of enumerating the topologically inequivalent configurations of a meandering road crossing a straight river through a given number of bridges. All these problems turn out to have reformulations in terms of fully packed loop models allowing for a unified Coulomb gas description of their statistical properties. A number of exact results and physically motivated conjectures are presented in detail, including the remarkable meander configuration exponent alpha=(29+sqrt(145))/12. | |
| dc.description | 112 pages, 82 figures, harvmac, mssymb, epsf. Review article | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0505293 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0505293 | |
| dc.identifier | Physics Reports 415 (2005) 1-88 | |
| dc.identifier | doi:10.1016/j.physrep.2005.05.001 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/26353 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Geometrically constrained statistical systems on regular and random lattices: From folding to meanders | |
| dc.type | text |