Hodge-de Rham theory on fractal graphs and fractals

Author:

Aaron S.,Conn Z.,Strichartz Robert,Yu H.

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Analysis

Reference24 articles.

1. Conformal energy, conformal Laplacian, and energy measures on the Sierpinski gasket,;J. Azzam;Transactions of the American Mathematical Society,2008

2. "Diffusions on Fractals,";M. T. Barlow;L.N.M. 1690,1690

3. Hodge-de Rham theory of k-forms on carpet type fractals,;J. Bello;in preparation.

4. Diriclet forms on noncommutative spaces,;F. Cipriani;L.N.M.,1954

5. Spectral triples on the Sierpinski gasket,;F. Cipriani;in AMS Meeting,2011

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. $h$-Laplacians on singular sets;Journal of Fractal Geometry;2023-08-01

2. A noncommutative Sierpinski gasket;Journal of Functional Analysis;2022-09

3. Approximating graphs of a class of general Sierpinski triangles and their normalized Laplacian spectra;Journal of Algorithms & Computational Technology;2021-01

4. Densely defined non‐closable curl on carpet‐like metric measure spaces;Mathematische Nachrichten;2018-05-15

5. Magnetic Laplacians of locally exact forms on the Sierpinski Gasket;Communications on Pure & Applied Analysis;2017

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