Geometry and Laplacian on discrete magic carpets
From MaRDI portal
Publication:6172319
DOI10.4171/jfg/129arXiv1902.03408MaRDI QIDQ6172319
Robert S. Strichartz, Chunyin Siu
Publication date: 19 July 2023
Published in: Journal of Fractal Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.03408
Sierpinski carpetheat kernelLaplacianharmonic functionsrandom walkfractalwave propagatorWeyl ratiometric ballsmagic carpets
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Spectral analysis on infinite Sierpiński fractafolds
- The construction of Brownian motion on the Sierpinski carpet
- Spectral decimation on Hambly's homogeneous hierarchical gaskets
- On a spectral analysis for the Sierpiński gasket.
- Uniqueness of Brownian motion on Sierpiński carpets
- Expansions in generalized eigenfunctions of selfadjoint operators
- Dirichlet forms on fractals: Poincaré constant and resistance
- Brownian motion on a homogeneous fractal
- Brownian motion on a random recursive Sierpinski gasket
- Dual graphs and modified Barlow-Bass resistance estimates for repeated barycentric subdivisions
- Stability of parabolic Harnack inequalities on metric measure spaces
- Expansion in generalized eigenfunctions for Laplacians on graphs and metric measure spaces
- Hodge-de Rham Theory of K-Forms on Carpet Type Fractals
- Coupling and Harnack inequalities for Sierpiński carpets
- Random Walks on Barycentric Subdivisions and the Strichartz Hexacarpet
- Random Walks on Infinite Graphs and Groups
- Infinite Propagation Speed for Wave Solutions on Some Post-critically Finite Fractals
- Characterization of sub‐Gaussian heat kernel estimates on strongly recurrent graphs
- USING PEANO CURVES TO CONSTRUCT LAPLACIANS ON FRACTALS
This page was built for publication: Geometry and Laplacian on discrete magic carpets