Asymptotics of the Green function of killed random walks in a cone of $\Z^d$ - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2023

Asymptotics of the Green function of killed random walks in a cone of $\Z^d$

Résumé

In this paper, we obtain the exact asymptotic behavior of Green functions of homogeneous random walks in $\Z^d$ killed at the first exit from and open cone of $\R^d$. Our approach combines methods of functional equations, integral representations of the Green function and Woess' approach for the case of homogeneous random walks in $\Z^d$.

Dates et versions

hal-04306215 , version 1 (24-11-2023)

Licence

Identifiants

Citer

Irina Ignatiouk-Robert. Asymptotics of the Green function of killed random walks in a cone of $\Z^d$. 2023. ⟨hal-04306215⟩
10 Consultations
0 Téléchargements

Altmetric

Partager

More