Heat kernels and zeta functions on fractals

Gerald V Dunne
2012 Journal of Physics A: Mathematical and Theoretical  
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.
doi:10.1088/1751-8113/45/37/374016 fatcat:mbnkgxopcfegxdz5ly5bnmugpm