Heat Kernels and Zeta Functions on Fractals - INSPIRE

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Heat Kernels and Zeta Functions on Fractals

Gerald V. Dunne
(
- Connecticut U.
)

May, 2012

19 pages

Published in:

J.Phys.A 45 (2012) 374016

e-Print:

1205.2723 [math-ph]

DOI:

10.1088/1751-8113/45/37/374016

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Abstract: (arXiv)

On fractals, spectral functions such as heat kernels and zeta functions exhibit novel features, very different from their behaviour on regular smooth manifolds, and these can have important physical consequences for both classical and quantum physics in systems having fractal properties.

Note:

19 pages, invited contribution for JPhysA Special Issue in honour of J. S. Dowker

fractal
zeta function
heat kernel
spectral representation

References(84)

Figures(15)

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