Heat Kernels and Zeta Functions on Fractals
Mathematical Physics
2013-06-06 v1 General Relativity and Quantum Cosmology
High Energy Physics - Theory
math.MP
Abstract
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.
Cite
@article{arxiv.1205.2723,
title = {Heat Kernels and Zeta Functions on Fractals},
author = {Gerald V. Dunne},
journal= {arXiv preprint arXiv:1205.2723},
year = {2013}
}
Comments
19 pages, invited contribution for JPhysA Special Issue in honour of J. S. Dowker