Asymptotic analysis of random walks on ice and graphite
Langue
en
Article de revue
Ce document a été publié dans
Journal of Mathematical Physics. 2021
American Institute of Physics (AIP)
Date de soutenance
2021Résumé en anglais
The purpose of this paper is to investigate the asymptotic behavior of random walks on three-dimensional crystal structures. We focus our attention on the 1h structure of the ice and the 2h structure of graphite. We establish ...Lire la suite >
The purpose of this paper is to investigate the asymptotic behavior of random walks on three-dimensional crystal structures. We focus our attention on the 1h structure of the ice and the 2h structure of graphite. We establish the strong law of large numbers and the asymptotic normality for both random walks on ice and graphite. All our analysis relies on asymptotic results for multi-dimensional martingales.< Réduire
Mots clés en anglais
Random walk
Hexagonal lattice
Central limit theorem
Origine
Importé de halUnités de recherche