Abstract
We prove that all groups of exponential growth support non-constant positive harmonic functions. In fact, our results hold in the more general case of strongly connected, finitely supported Markov chains invariant under some transitive group of automorphisms for which the directed balls grow exponentially.
Original language | English |
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Pages (from-to) | 1-5 |
Number of pages | 5 |
Journal | Proceedings of the American Mathematical Society |
Volume | 153 |
Issue number | 1 |
DOIs | |
State | Published - Jan 2025 |
Bibliographical note
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