Frequently dense harmonic functions and universal martingales on trees

DOI10.1090/proc/15355zbMath1460.05034arXiv1908.05579OpenAlexW3127399890MaRDI QIDQ5856947

Massimo A. Picardello, Vassilis Nestoridis, Evgeny V. Abakumov

Publication date: 30 March 2021

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

Full work available at URL: https://arxiv.org/abs/1908.05579

zbMATH Keywords

harmonic functionsPoisson transformboundary of a treenon-homogeneous treesmartingale associated with a harmonic functiontransient transition operatorsuniversal functions on trees

Mathematics Subject Classification ID

Trees (05C05) Probabilistic potential theory (60J45) Discrete potential theory (31C20) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)

Related Items (4)

Universal properties of the isotropic Laplace operator on homogeneous trees ⋮ Dynamics of weighted shifts on directed trees ⋮ Abel universal functions ⋮ Generalized harmonic functions on trees: universality and frequent universality

Cites Work

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• Isotropic Markov semigroups on ultra-metric spaces
• The Lusin area function and local admissible convergence of harmonic functions on homogeneous trees
• Universal families and hypercyclic operators
• UNIVERSAL RADIAL LIMITS OF HOLOMORPHIC FUNCTIONS

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