Spectral asymptotics for variational fractals

DOI10.4171/ZAA/830zbMath0914.47024MaRDI QIDQ1393104

Gustavo Posta

Publication date: 23 June 1999

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

Brownian motionLaplace operatorSierpinski carpetspectral asymptoticsspectral dimensionnested fractalsasymptotics of the spectrumvariational fractals

Mathematics Subject Classification ID

Brownian motion (60J65) Dirichlet forms (31C25) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06)

Related Items (3)

Nonlinear wave equations on a class of bounded fractal sets ⋮ Nonlinear elliptical equations on the Sierpiński gasket ⋮ Nonlinear diffusion equations on bounded fractal domains

Cites Work

• The construction of Brownian motion on the Sierpinski carpet
• On a spectral analysis for the Sierpiński gasket.
• Brownian motion on the Sierpinski gasket
• Sobolev inequalities on homogeneous spaces
• Harmonic Calculus on P.C.F. Self-Similar Sets
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Spectral asymptotics for variational fractals