Strong and weak mean value properties on trees

Details Strong and weak mean value properties on trees Strong and weak mean value properties on trees

2001-10-14

arxiv.org/abs/math/0110145v1

Mathematics

Probability

16 pages

Scientific paper

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.

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