Positive harmonic functions on groups and covering spaces

DOI10.1016/j.aim.2020.107552zbMath1456.53053OpenAlexW3120769583MaRDI QIDQ2220474

Panagiotis Polymerakis

Publication date: 25 January 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/21.11116/0000-0007-AF5F-B

zbMATH Keywords

volume growthexponential growthRiemannian coveringfinitely generated grouppositive harmonic functionsstrong Liouville property

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Diffusion processes and stochastic analysis on manifolds (58J65) Differential geometric aspects of harmonic maps (53C43)

Related Items (2)

On the strong Liouville property of covering spaces ⋮ Equivariant discretizations of diffusions, random walks, and harmonic functions

Cites Work

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• Liouville property for groups and manifolds
• Related aspects of positivity in Riemannian geometry
• Asymptotic entropy and Green speed for random walks on countable groups
• A note on curvature and fundamental group
• Growth of finitely generated solvable groups
• Croissance polynomiale et périodes des fonctions harmoniques
• On the strong liouville property for co-compact Riemannian covers

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