Sharp phase transition theorems for hyperbolicity of random groups
| dc.creator | Ollivier, Yann | |
| dc.date | 2003-01-17 | |
| dc.date | 2004-01-09 | |
| dc.date.accessioned | 2026-07-07T04:54:30Z | |
| dc.date.available | 2026-07-07T04:54:30Z | |
| dc.description | We prove that in various natural models of a random quotient of a group, depending on a density parameter, for each hyperbolic group there is some critical density under which a random quotient is still hyperbolic with high probability, whereas above this critical value a random quotient is very probably trivial. We give explicit characterizations of these critical densities for the various models. | |
| dc.description | 91 pages ; 3rd version: improved redaction, corrected typos | |
| dc.identifier | https://arxiv.org/abs/math/0301187 | |
| dc.identifier | http://arxiv.org/abs/math/0301187 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66278 | |
| dc.subject | Group Theory | |
| dc.subject | Probability | |
| dc.subject | 20P05 (Primary) 20F06, 20F67, 60B99 (Secondary) | |
| dc.title | Sharp phase transition theorems for hyperbolicity of random groups | |
| dc.type | text |