Weyl asymptotics for Hanoi attractors
Keyword(s):
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.
2019 ◽
Vol 129
(10)
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pp. 3981-4008
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2012 ◽
Vol 45
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pp. 235003
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2008 ◽
Vol 20
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pp. 901-932
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2011 ◽
Vol 44
(18)
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pp. 185202
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