Discrete Hammersley's Lines with sources and sinks - Université Paris Nanterre Accéder directement au contenu
Article Dans Une Revue ALEA : Latin American Journal of Probability and Mathematical Statistics Année : 2016

Discrete Hammersley's Lines with sources and sinks

Résumé

We introduce two stationary versions of two discrete variants of Hammersley's process in a finite box, this allows us to recover in a unified and simple way the laws of large numbers proved by T. Seppäläinen for two generalized Ulam's problems. As a by-product we obtain an elementary solution for the original Ulam problem. We also prove that for the first process defined on Z, Bernoulli product measures are the only extremal and translation-invariant stationary measures.
Fichier principal
Vignette du fichier
HammersleySinksSources-HAL2.pdf (346.79 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-01121585 , version 1 (02-03-2015)
hal-01121585 , version 2 (02-04-2015)

Identifiants

Citer

A-L Basdevant, N Enriquez, L Gerin, J-B Gouéré. Discrete Hammersley's Lines with sources and sinks. ALEA : Latin American Journal of Probability and Mathematical Statistics, 2016, 13 (1), pp.33-52. ⟨hal-01121585v2⟩
427 Consultations
212 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More