Continuous leafwise harmonic functions on codimension one transversely isometric foliations

DOI10.1090/S2330-1511-2014-00008-0zbMath1350.53033arXiv1306.0058MaRDI QIDQ2814362

Shigenori Matsumoto

Publication date: 21 June 2016

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

Full work available at URL: https://arxiv.org/abs/1306.0058

zbMATH Keywords

stationary measurescodimension-one foliationsleafwise harmonic functions

Mathematics Subject Classification ID

Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Foliations (differential geometric aspects) (53C12)

Cites Work

• Unnamed Item
• Symmetric random walks on \(\mathrm{Homeo}^+ (\mathbb{R})\)
• Foliations, the ergodic theorem and Brownian motion
• Foliations, topology and geometry of 3-manifolds: \(\mathbb{R}\)-covered foliations and transverse pseudo-Anosov flows
• Random conformal dynamical systems
• Harmonic functions on ℝ-covered foliations
• Dynamics on the space of harmonic functions and the foliated Liouville problem
• Stochastic differential equations. An introduction with applications.

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