Boundary representations of \(\lambda \)-harmonic and polyharmonic functions on trees

DOI10.1007/s11118-018-9723-5zbMath1429.31007arXiv1802.01976OpenAlexW2963196649MaRDI QIDQ2009090

Wolfgang Woess, Massimo A. Picardello

Publication date: 27 November 2019

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.01976

zbMATH Keywords

treepolyharmonic functionsMartin kernelboundary integralstochastic transition operator\( \lambda \)-harmonic functions

Mathematics Subject Classification ID

Trees (05C05) Sums of independent random variables; random walks (60G50) Integration with respect to measures and other set functions (28A25) Discrete potential theory (31C20)

Related Items (6)

Universal properties of the isotropic Laplace operator on homogeneous trees ⋮ Boundary behaviour of \(\lambda \)-polyharmonic functions on regular trees ⋮ Polyharmonic potential theory on the Poincaré disk ⋮ Biharmonic functions on Schrödinger networks ⋮ Laplace and bi-Laplace equations for directed networks and Markov chains ⋮ Polyharmonic Functions for Finite Graphs and Markov Chains

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Denumerable Markov chains. Generating functions, boundary theory, random walks on trees.
• Distributions and measures on the boundary of a tree
• Boundary and entropy of space homogeneous Markov chains
• Martin and End Compactifications for Nonlocally Finite Graphs
• Harmonic analysis for anisotropic random walks on homogeneous trees
• Comparing Entropy Rates on Finite and Infinite Rooted Trees
• Polyharmonic functions on trees
• BOUNDARY THEORY OF MARKOV PROCESSES (THE DISCRETE CASE)

This page was built for publication: Boundary representations of \(\lambda \)-harmonic and polyharmonic functions on trees