On a recursive construction of Dirichlet form on the Sierpiński gasket-Reference-Cited by-同舟云学术

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On a recursive construction of Dirichlet form on the Sierpiński gasket

Published:2019-06 Issue:1 Volume:474 Page:674-692
ISSN:0022-247X
Container-title:Journal of Mathematical Analysis and Applications
language:en
Short-container-title:Journal of Mathematical Analysis and Applications

Author:

Gu Qingsong^ORCID,Lau Ka-Sing,Qiu Hua

Funder

HKRGC

NNSF of China

NSF of China

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference29 articles.

1. Diffusions on Fractals;Barlow,1998

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

3. Uniqueness of Brownian motion on Sierpinski carpets;Barlow;J. Eur. Math. Soc. (JEMS),2010

4. One-Parameter Semigroups;Davies,1980

5. Dirichlet Forms and Symmetric Markov Processes;Fukushima,2011

Cited by 5 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. Existence of self-similar Dirichlet forms on post-critically finite fractals in terms of their resistances;manuscripta mathematica;2023-11-09

2. Stochastics and Dynamics of Fractals;Recent Developments in Operator Theory, Mathematical Physics and Complex Analysis;2022-11-04

3. Homogeneous Dirichlet Forms on p.c.f. Fractals and their Spectral Asymptotics;Potential Analysis;2022-10-14

4. On Van, r and s topological properties of the Sierpinski triangle networks;Eurasian Chemical Communications;2020-05-20

5. Dirichlet forms and critical exponents on fractals;Transactions of the American Mathematical Society;2019-12-17

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