Existence and uniqueness of diffusions on the Julia sets of Misiurewicz-Sierpinski maps-Reference-Cited by-同舟云学术

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Existence and uniqueness of diffusions on the Julia sets of Misiurewicz-Sierpinski maps

Published:2021-10 Issue: Volume:389 Page:107922
ISSN:0001-8708
Container-title:Advances in Mathematics
language:en
Short-container-title:Advances in Mathematics

Author:

Cao Shiping,Haßler Malte S.,Qiu Hua,Sandine Ely,Strichartz Robert S.

Funder

National Natural Science Foundation of China

Publisher

Elsevier BV

Subject

General Mathematics

Reference39 articles.

1. Density of states on fractals: “fractons”;Alexander;J. Phys. Lett. (Paris),1982

2. Laplacians on a family of quadratic Julia sets II;Aougab;Commun. Pure Appl. Anal.,2013

3. Diffusions on fractals;Barlow,1998

4. The construction of Brownian motion on the Sierpinski carpet;Barlow;Ann. Inst. Henri Poincaré,1989

5. Transition densities for Brownian motion on the Sierpinski carpet;Barlow;Probab. Theory Relat. Fields,1992

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1. About Sobolev spaces on fractals: fractal gradians and Laplacians;Aequationes mathematicae;2024-04-16

2. Dirichlet forms on unconstrained Sierpinski carpets;Probability Theory and Related Fields;2024-04-12

3. IFS measures on generalized Bratteli diagrams;Contemporary Mathematics;2024

4. Polymorphisms, their associated operator theory, self-similar fractals, and harmonic analysis;Contemporary Mathematics;2024

5. Brownian motion on the golden ratio Sierpinski gasket;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2023-04-03

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