Shorted operators: An application in potential theory

DOI10.1016/S0024-3795(96)00303-5zbMath0889.31003MaRDI QIDQ1369313

Volker Metz

Publication date: 25 February 1998

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

Dirichlet formsshorted operatornested fractals

Mathematics Subject Classification ID

Dirichlet forms (31C25) Fractals (28A80)

Related Items (6)

Self-similar energy forms on the Sierpinski gasket with twists ⋮ Metrics of hyperbolic type on bounded fractals ⋮ A Hilbert space approach to effective resistance metric ⋮ Resistance scaling and the number of spanning trees in self-similar lattices ⋮ The short-cut test ⋮ Resistance forms, quasisymmetric maps and heat kernel estimates

Cites Work

• Dirichlet forms and symmetric Markov processes.
• A potential-theoretic approach to parallel addition
• Self-adjoint harmonic spaces and Dirichlet forms
• What are Schur complements, anyway?
• Dirichlet integrals on harmonic spaces
• Statistical mechanics and fractals
• Harmonization and homogenization on fractals
• Hilbert's projective metric on cones of Dirichlet forms
• Harmonic calculus on limits of networks and its application to dendrites
• Matrix Analysis
• Hilbert’s projective metric and iterated nonlinear maps
• Shorted Operators. II
• Brownian motion on nested fractals
• Renormalization contracts on nested fractals.
• Renormalisation of finitely ramified fractals
• Shorted Operators
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