Every exponential group supports a positive harmonic function

DOI10.1090/proc/15435MaRDI QIDQ6654015

Gady Kozma, Gideon Amir

Publication date: 18 December 2024

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

growth of groups, Gromov's theorem, groups of exponential growth

Mathematics Subject Classification ID

Geometric group theory (20F65) Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Asymptotic properties of groups (20F69) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Cites Work

• Unnamed Item
• Gaussian estimates for Markov chains and random walks on groups
• Existence of positive harmonic functions on groups and on covering manifolds

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