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Diffusion in multiscale spacetimes

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arxiv 1205.5046 v2 pith:ZIDY2EHW submitted 2012-05-22 hep-th gr-qcmath-phmath.MP

Gianluca Calcagni This is my paper
classification hep-thgr-qcmath-phmath.MP
keywords diffusionspacetimesmultiscaleprocessesquantumanomalousapplyassociated
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We study diffusion processes in anomalous spacetimes regarded as models of quantum geometry. Several types of diffusion equation and their solutions are presented and the associated stochastic processes are identified. These results are partly based on the literature in probability and percolation theory but their physical interpretation here is different since they apply to quantum spacetime itself. The case of multiscale (in particular, multifractal) spacetimes is then considered through a number of examples and the most general spectral-dimension profile of multifractional spaces is constructed.

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