``Laplacians on finitely ramified, graph directed fractals
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Publication:707438
DOI10.1007/s00208-004-0571-9zbMath1068.31004OpenAlexW2055411110MaRDI QIDQ707438
Publication date: 9 February 2005
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00208-004-0571-9
ergodicityDirichlet formsexistence and uniqueness of ``Laplacians on finitely ramified graph directed fractals
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Dirichlet forms (31C25) Probabilistic potential theory (60J45) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10) Fractals (28A80)
Related Items (5)
Resistance forms on self-similar sets with finite ramification of finite type ⋮ Power dissipation in fractal AC circuits ⋮ Resistance scaling and the number of spanning trees in self-similar lattices ⋮ Explicit spectral decimation for a class of self-similar fractals ⋮ HIGHER BLOCK IFS 1: MEMORY REDUCTION AND DIMENSION COMPUTATIONS
Cites Work
- Non-negative matrices and Markov chains. 2nd ed
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- The cone of diffusions on finitely ramified fractals.
- Harmonization and homogenization on fractals
- Hilbert's projective metric on cones of Dirichlet forms
- Homogenization of nested fractals
- Homogenization and porous media
- Hilbert’s projective metric and iterated nonlinear maps
- A limit set trichotomy for self-mappings of normal cones in banach spaces
- Brownian motion on nested fractals
- Existence and uniqueness of diffusions on finitely ramified self-similar fractals
- FINITELY RAMIFIED GRAPH-DIRECTED FRACTALS, SPECTRAL ASYMPTOTICS AND THE MULTIDIMENSIONAL RENEWAL THEOREM
- Renormalization contracts on nested fractals.
- Renormalisation of finitely ramified fractals
- Manifolds and graphs with slow heat kernel decay
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