Starting with the computation of the appropriate Poisson kernels, we review, complement, and compare results on drifted Laplace operators in two different contexts: homogeneous trees and the hyperbolic half-plane.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm118-1-7,
author = {Enrico Casadio Tarabusi and Alessandro Fig\`a-Talamanca},
title = {Poisson kernels of drifted Laplace operators on trees and on the half-plane},
journal = {Colloquium Mathematicae},
volume = {120},
year = {2010},
pages = {147-159},
zbl = {1190.43008},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm118-1-7}
}
Enrico Casadio Tarabusi; Alessandro Figà-Talamanca. Poisson kernels of drifted Laplace operators on trees and on the half-plane. Colloquium Mathematicae, Tome 120 (2010) pp. 147-159. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm118-1-7/