par Brenig, Léon 
;Gleria, Iram;Rocha Filho, Tarcísio T.M.;Figueiredo, Annibal;Hernandez-Bermejo, Benito
Référence Journal of Physics A: Mathematical and Theoretical, 51, 48, 485101
Publication Publié, 2018-07-17
;Gleria, Iram;Rocha Filho, Tarcísio T.M.;Figueiredo, Annibal;Hernandez-Bermejo, Benito Référence Journal of Physics A: Mathematical and Theoretical, 51, 48, 485101
Publication Publié, 2018-07-17
Article révisé par les pairs
| Résumé : | An equivalence is shown between a large class of deterministic dynamical systems and a class of stochastic processes, the balanced urn processes. These dynamical systems are governed by quasi-polynomial differential systems that are widely used in mathematical modeling while urn processes are actively studied in combinatorics and probability theory. The presented equivalence extends a theorem by Flajolet et al (2006 Discrete Mathematics and Theoretical Computer Science, AG (DMTCS Proc.) pp 59-118) already establishing an isomorphism between urn processes and a particular class of differential systems with monomial vector fields. The present result is based on the fact that such monomial differential systems are canonical forms for more general dynamical systems. |
