Harmonic measures for a point may form a square

DOI10.1016/j.aim.2010.04.017zbMath1204.30016OpenAlexW2049783655MaRDI QIDQ1959446

Wolfhard Hansen, Ivan Netuka

Publication date: 7 October 2010

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

Full work available at URL: https://doi.org/10.1016/j.aim.2010.04.017

zbMATH Keywords

heat equationBrownian motionharmonic measuresimplexRiesz potentialsBalayage

Mathematics Subject Classification ID

Heat equation (35K05) Axiomatic potential theory (31D05) Stable stochastic processes (60G52) Capacity and harmonic measure in the complex plane (30C85) Convex sets in topological linear spaces; Choquet theory (46A55) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)

Related Items (1)

Nearly hyperharmonic functions and Jensen measures

Cites Work

• Unnamed Item
• Density of extremal measures in parabolic potential theory
• Convexity properties of harmonic measures
• The Dirichlet problem for sublaplacians on nilpotent Lie groups - geometric criteria for regularity
• Potential theory. An analytic and probabilistic approach to balayage

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