Hodge-de Rham theory on fractal graphs and fractals
From MaRDI portal
Publication:380177
DOI10.3934/cpaa.2014.13.903zbMath1279.28011arXiv1206.1310OpenAlexW2963086304MaRDI QIDQ380177
Robert S. Strichartz, Skye Aaron, Zach Conn, Hui Yu
Publication date: 13 November 2013
Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1206.1310
Related Items (5)
Magnetic Laplacians of locally exact forms on the Sierpinski gasket ⋮ Integrals and potentials of differential 1-forms on the Sierpinski gasket ⋮ A noncommutative Sierpinski gasket ⋮ \(h\)-Laplacians on singular sets ⋮ Gaps in the spectrum of the Laplacian on \(3N\)-gaskets
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fractal differential equations on the Sierpiński gasket
- Derivations as square roots of Dirichlet forms
- Dimensions and singular traces for spectral triples, with applications to fractals
- Taylor approximations on Sierpinski gasket type fractals
- Derivations and Dirichlet forms on fractals
- Singular traces on semifinite von Neumann algebras
- Self-similar energy forms on the Sierpinski gasket with twists
- Harmonic mappings of the Sierpinski gasket to the circle
- Hodge-de Rham Theory of K-Forms on Carpet Type Fractals
- Harmonic Coordinates on Fractals with Finitely Ramified Cell Structure
- Existence and uniqueness of diffusions on finitely ramified self-similar fractals
- Limit chains on the Sierpinski gasket
- Boundary value problems for harmonic functions on a domain in the Sierpinski gasket
- Dirichlet Forms on Noncommutative Spaces
- Conformal energy, conformal Laplacian, and energy measures on the Sierpinski gasket
- Existence of eigenforms on fractals with three vertices
This page was built for publication: Hodge-de Rham theory on fractal graphs and fractals
