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Reference: B. M. Hambly, V. Metz and A. Teplyaev, (2006). Self-similar energies on p.c.f. self-similar fractals.Citable link to this page:

 

Self-similar energies on p.c.f. self-similar fractals

Abstract: On a large class of pcf (finitely ramified) self-similar fractals with possibly little symmetry we consider the question of existence and uniqueness of a Laplace operator. By considering positive refinement weights (local scaling factors) which are not necessarily equal we show that for each such fractal, under a certain condition, there are corresponding refinement weights which support a unique self-similar Dirichlet form. As compared to previous results, our technique allows us to replace symmetry by connectivity arguments.

Bibliographic Details

Issue Date: 2006-08-01Identifiers

Urn: uuid:e3ac1bea-0d0f-4b6f-9727-122c2e5f3178 Item Description

Type: Article;

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Author: B. M. Hambly - - - V. Metz - - - A. Teplyaev - - - - Bibliographic Details Issue Date: 2006-08-01 - Identifiers Urn: uuid:e3ac1be

Source: https://ora.ox.ac.uk/objects/uuid:e3ac1bea-0d0f-4b6f-9727-122c2e5f3178



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