Poisson kernels of drifted Laplace operators on trees and on the half-plane
Volume 118 / 2010
Colloquium Mathematicum 118 (2010), 147-159
MSC: Primary 43A85; Secondary 05C05, 51M10.
DOI: 10.4064/cm118-1-7
Abstract
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.