Polynomials and harmonic functions on discrete groups

DOI10.1090/tran/7050zbMath1401.43001arXiv1505.01175OpenAlexW2963069052MaRDI QIDQ5506670

Tom Meyerovitch, Matthew C. H. Tointon, Ariel Yadin, Idan Perl

Publication date: 13 December 2016

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

Full work available at URL: https://arxiv.org/abs/1505.01175

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Geometric group theory (20F65) Nilpotent groups (20F18) Measures on groups and semigroups, etc. (43A05) Probability measures on groups or semigroups, Fourier transforms, factorization (60B15)

Related Items (5)

Absence of non-constant harmonic functions with \(\ell^p\)-gradient in some semi-direct products ⋮ Equivariant discretizations of diffusions and harmonic functions of bounded growth ⋮ Polynomially growing harmonic functions on connected groups ⋮ Harmonic functions of linear growth on solvable groups ⋮ Probabilistic nilpotence in infinite groups

Cites Work

• Characterisations of algebraic properties of groups in terms of harmonic functions
• The quantitative behaviour of polynomial orbits on nilmanifolds
• Harmonic functions of linear growth on solvable groups
• Disorder, entropy and harmonic functions
• Random walks on discrete groups: Boundary and entropy
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Harmonic functions on manifolds
• Polynomial mappings of groups
• Random walks on discrete groups of polynomial volume growth
• Polynomial growth harmonic functions on groups of polynomial volume growth
• Polynomial growth harmonic functions on finitely generated Abelian groups
• Freiman's theorem in an arbitrary nilpotent group
• A new proof of Gromov’s theorem on groups of polynomial growth
• Croissance polynomiale et périodes des fonctions harmoniques
• The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups
• Sur les groupes nilpotents et les anneaux de Lie
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Polynomials and harmonic functions on discrete groups