Strong and weak mean value properties on trees
Probability
2007-05-23 v1
Abstract
We consider the mean value properties for finite variation measures with respect to a Markov operator in a discrete environnement. We prove equivalent conditions for the weak mean value property in the case of general Markov operators and for the strong mean value property in the case of transient Markov operators adapted to a tree structure. In this last case, conditions for the equivalence between weak and strong mean value properties are given.
Keywords
Cite
@article{arxiv.math/0110145,
title = {Strong and weak mean value properties on trees},
author = {Fabio Zucca},
journal= {arXiv preprint arXiv:math/0110145},
year = {2007}
}
Comments
16 pages