Asymptotic analysis of random walks on ice and graphite
Idioma
en
Article de revue
Este ítem está publicado en
Journal of Mathematical Physics. 2021
American Institute of Physics (AIP)
Fecha de defensa
2021Resumen en inglés
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 ...Leer más >
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.< Leer menos
Palabras clave en inglés
Random walk
Hexagonal lattice
Central limit theorem
Orígen
Importado de HalCentros de investigación