On conformal measures and harmonic functions for group extensions
Dynamical Systems
2020-06-26 v2
Abstract
We prove a Perron-Frobenius-Ruelle theorem for group extensions of topological Markov chains based on a construction of -finite conformal measures and give applications to the construction of harmonic functions.
Keywords
Cite
@article{arxiv.1712.02041,
title = {On conformal measures and harmonic functions for group extensions},
author = {Manuel Stadlbauer},
journal= {arXiv preprint arXiv:1712.02041},
year = {2020}
}
Comments
To appear in Proceedings of "New Trends in Onedimensional Dynamics, celebrating the 70th birthday of Welington de Melo"