Asymptotic analysis of random walks on ice and graphite
Language
en
Article de revue
This item was published in
Journal of Mathematical Physics. 2021
American Institute of Physics (AIP)
Date
2021English Abstract
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 ...Read more >
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.Read less <
English Keywords
Random walk
Hexagonal lattice
Central limit theorem
Origin
Hal imported