Analysis on fractal objects

DOI10.1007/s11012-005-2107-0zbMath1118.28005OpenAlexW2015574442MaRDI QIDQ865128

Uta Renata Freiberg

Publication date: 13 February 2007

Published in: Meccanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11012-005-2107-0

zbMATH Keywords

self-similarityHausdorff dimensionLagrangianLaplacianDirichlet form

Mathematics Subject Classification ID

Fractals (28A80)

Related Items (7)

Comparison of two fractal interpolation methods ⋮ Refinement of the spectral asymptotics of generalized Krein Feller operators ⋮ Exact computation and approximation of stochastic and analytic parameters of generalized Sierpinski gaskets ⋮ Iterated function systems and stability of variational problems on self-similar objects ⋮ Some Remarks on the Hausdorff and Spectral Dimension of V-Variable Nested Fractals ⋮ A Julia set for the Kepler problem ⋮ On properties of similarity boundary of attractors in product dynamical systems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weyl's problem for the spectral distribution of Laplacians on P.C.F. self-similar fractals
• A remark on arbitrage and martingale measure
• Composite media and asymptotic Dirichlet forms
• Dirichlet forms and symmetric Markov processes
• On singularity of energy measures on self-similar sets
• Energy form on a closed fractal curve
• Generalized Second Order Differential Operators
• Harmonic Calculus on P.C.F. Self-Similar Sets
• A harmonic calculus on the Sierpinski spaces
• Brownian motion on nested fractals
• Brownian Motion and Harmonic Analysis on Sierpinski Carpets
• Analytical properties of measure geometric Krein-Feller-operators on the real line
• Spectral Asymptotics of Generalized Measure Geometric Laplacians on Cantor Like Sets

This page was built for publication: Analysis on fractal objects