Magnetic fields on resistance spaces
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Publication:294290
DOI10.4171/JFG/30zbMath1432.81063arXiv1501.01100OpenAlexW2963426335MaRDI QIDQ294290
F. Blanchet-Sadri, M. Dambrine
Publication date: 16 June 2016
Published in: Journal of Fractal Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1501.01100
Perturbation theory of linear operators (47A55) Electromagnetic interaction; quantum electrodynamics (81V10) Fractals (28A80) Forms (bilinear, sesquilinear, multilinear) (47A07) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)
Related Items (11)
Fractal snowflake domain diffusion with boundary and interior drifts ⋮ Magnetic Laplacians of locally exact forms on the Sierpinski gasket ⋮ Power dissipation in fractal AC circuits ⋮ Spectral decimation of the magnetic Laplacian on the Sierpinski gasket: solving the Hofstadter-Sierpinski butterfly ⋮ Approximation of fractals by discrete graphs: norm resolvent and spectral convergence ⋮ Spectral analysis on Barlow and Evans' projective limit fractals ⋮ Finite Energy Coordinates and Vector Analysis on Fractals ⋮ Gaps in the spectrum of the Laplacian on \(3N\)-gaskets ⋮ Approximation of partial differential equations on compact resistance spaces ⋮ On the viscous Burgers equation on metric graphs and fractals ⋮ Parabolic type equations associated with the Dirichlet form on the sierpinski gasket
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