Weyl asymptotics for Hanoi attractors-Reference-Cited by-同舟云学术

Weyl asymptotics for Hanoi attractors

Published:2017-09-01 Issue:5 Volume:29 Page:1003-1021
ISSN:1435-5337
Container-title:Forum Mathematicum
language:
Short-container-title:

Author:

Alonso Ruiz Patricia¹,Freiberg Uta R.²

Affiliation:

1. Department of Mathematics, University of Connecticut, 341 Mansfield Rd, U-1009, Storrs, CT 06269, USA

2. Institut für Stochastik und Anwendungen, University of Stuttgart, 70569Stuttgart, Germany

Abstract

AbstractThis paper studies the asymptotic behavior of the eigenvalue counting function of the Laplacian on some weakly self-similar fractals called Hanoi attractors. A resistance form is constructed and equipped with a suitable measure in order to obtain a Dirichlet form and its associated Laplacian. Hereby, the classical construction for p.c.f. self-similar fractals has to be modified by combining discrete and quantum graph methods.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/forum-2015-0179/pdf

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