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

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 fr...

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Bibliographic Details
Main Authors: Hambly, B, Metz, V, Teplyaev, A
Format: Journal article
Published: 2006