Geodesic
Domains of Dirichlet forms and effective resistance estimates on p.c.f. fractals
Jiaxin Hu 1   ; Xingsheng Wang 2
1 Department of Mathematical Sciences Tsinghua University Beijing 100084, China
2 Department of Electronics and Electrical Engineering The University of Glasgow Glasgow, Scotland, UK
Studia Mathematica, Tome 177 (2006) no. 2, pp. 153-172 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We consider post-critically finite self-similar fractals with regular harmonic structures. We first obtain effective resistance estimates in terms of the Euclidean metric, which in particular imply the embedding theorem for the domains of the Dirichlet forms associated with the harmonic structures. We then characterize the domains of the Dirichlet forms.
DOI : 10.4064/sm177-2-5
Keywords: consider post critically finite self similar fractals regular harmonic structures first obtain effective resistance estimates terms euclidean metric which particular imply embedding theorem domains dirichlet forms associated harmonic structures characterize domains dirichlet forms

Jiaxin Hu  1   ; Xingsheng Wang  2

1 Department of Mathematical Sciences Tsinghua University Beijing 100084, China
2 Department of Electronics and Electrical Engineering The University of Glasgow Glasgow, Scotland, UK 
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Jiaxin Hu; Xingsheng Wang. Domains of Dirichlet forms and effective
 resistance estimates on p.c.f. fractals. Studia Mathematica, Tome 177 (2006) no. 2, pp. 153-172. doi: 10.4064/sm177-2-5

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