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Heat Kernels and Zeta Functions on Fractals (1205.2723v1)
Published 11 May 2012 in math-ph, gr-qc, hep-th, and 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.