Heat kernels and spectral asymptotics for some random Sierpinski gaskets

Conference item

Abstract:: We discuss two types of randomization for nested fractals based upon the d-dimensional Sierpinski gasket. One type, called homogeneous random fractals, are spatially homogeneous but scale irregular, while the other type, called random recursive fractals are spatially inhomogeneous. We use Dirichlet form techniques to construct Laplace operators on these fractals. The properties of the two types of random fractal differ and ive extend and unify previous work to demonstrate that, though the hom...
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Institution:

University of Oxford

Division:

MPLS

Department:

Mathematical Institute

Role:

Author

Keywords:: random recursive fractals

BROWNIAN-MOTION

SELF-SIMILAR FRACTALS

Dirichlet form

HARMONIC CALCULUS

NESTED FRACTALS

spectral counting function

heat kernel

SIMILAR SETS

general branching process
Pubs id:: pubs:20369
UUID:: uuid:07a41d2d-f202-48d8-bc0a-ee8233f4e7d0
Local pid:: pubs:20369
Source identifiers:: 20369
Deposit date:: 2013-02-20

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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