Time changes of local Dirichlet spaces by energy measures of harmonic functions

DOI10.1515/form.2011.065zbMath1271.31010OpenAlexW2008315075MaRDI QIDQ5388208

Naotaka Kajino

Publication date: 18 April 2012

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: http://www.lib.kobe-u.ac.jp/repository/90003804.pdf

zbMATH Keywords

harmonic functionsSierpinski gasketsymmetric diffusionrandom time changesenergy measureslocal Dirichlet spaces

Mathematics Subject Classification ID

Dirichlet forms (31C25) Probabilistic potential theory (60J45) Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Local time and additive functionals (60J55)

Related Items (2)

Heat kernel asymptotics for the measurable Riemannian structure on the Sierpinski gasket ⋮ Finite Energy Coordinates and Vector Analysis on Fractals

Cites Work

• Markov functions of a time-changed recurrent diffusion
• Dirichlet forms of fractals and products of random matrices
• Superposition operators on Dirichlet spaces
• Measurable Riemannian geometry on the Sierpinski gasket: the Kusuoka measure and the Gaussian heat kernel estimate

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