A Sierpinski carpet like fractal without standard self-similar energy
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Publication:5060352
DOI10.1090/proc/16146OpenAlexW3203042244MaRDI QIDQ5060352
Publication date: 10 January 2023
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2109.12760
Cites Work
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- The construction of Brownian motion on the Sierpinski carpet
- Dirichlet forms and symmetric Markov processes.
- Uniqueness of Brownian motion on Sierpiński carpets
- Transition densities for Brownian motion on the Sierpinski carpet
- Dirichlet forms on fractals: Poincaré constant and resistance
- Transition density estimates for Brownian motion on affine nested fractals
- On singularity of energy measures on self-similar sets
- Analysis on fractal spaces and heat kernels
- Resistance forms, quasisymmetric maps and heat kernel estimates
- On the resistance of the Sierpiński carpet
- Harmonic Calculus on P.C.F. Self-Similar Sets
- Brownian Motion and Harmonic Analysis on Sierpinski Carpets
- Existence and uniqueness of diffusions on finitely ramified self-similar fractals
- Heat kernels on metric measure spaces and an application to semilinear elliptic equations
- Characterization of sub‐Gaussian heat kernel estimates on strongly recurrent graphs