Analytic Formulation, Exact Solutions, and Generalizations of the Elephant and the Alzheimer Random Walks
| dc.creator | Kenkre, V. M. | |
| dc.date | 2007-07-31 | |
| dc.date | 2007-08-06 | |
| dc.date.accessioned | 2026-07-07T08:22:01Z | |
| dc.date.available | 2026-07-07T08:22:01Z | |
| dc.description | An analytic formulation of memory-possessing random walks introduced recently [Cressoni et al., Phys. Rev. Lett. 98, 070603 (2007) and Schütz and Trimper, Phys. Rev. E 70, 045101 (2004)] for Alzheimer behavior and related phenomena is provided along with exact solutions on the basis of Fokker-Planck equations. The solution of a delay-differential equation derived for the purpose is shown to produce log-periodic oscillations and to coincide rather accurately with previously published computer simulation results. Generalizations along several directions are also constructed on the basis of the formalism. | |
| dc.description | 4 pages, 1 fig | |
| dc.identifier | https://arxiv.org/abs/0708.0034 | |
| dc.identifier | http://arxiv.org/abs/0708.0034 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/135513 | |
| dc.subject | Statistical Mechanics | |
| dc.title | Analytic Formulation, Exact Solutions, and Generalizations of the Elephant and the Alzheimer Random Walks | |
| dc.type | text |