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  Diffusion in quantum geometry

Calcagni, G. (2012). Diffusion in quantum geometry. Physical Review D, 86: 044021. doi:10.1103/PhysRevD.86.044021.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-8706-D Version Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-8709-7
Genre: Journal Article
Other : Diffusion in quantum gravity (Version1)

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1204.2550 (Preprint), 160KB
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 Creators:
Calcagni, Gianluca1, Author              
Affiliations:
1Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_67201              

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Free keywords: High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc,Mathematical Physics, math-ph,Mathematics, Mathematical Physics, math.MP
 Abstract: The change of the effective dimension of spacetime with the probed scale is a universal phenomenon shared by independent models of quantum gravity. Using tools of probability theory and multifractal geometry, we show how dimensional flow is controlled by a multiscale fractional diffusion equation, and physically interpreted as a composite stochastic process. The simplest example is a fractional telegraph process, describing quantum spacetimes with a spectral dimension equal to 2 in the ultraviolet and monotonically rising to 4 towards the infrared.

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 Dates: 2012-04-112012
 Publication Status: Published in print
 Pages: 4 pages, 1 figure
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1204.2550
DOI: 10.1103/PhysRevD.86.044021
 Degree: -

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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : Published for the American Physical Society by the American Institute of Physics
Pages: - Volume / Issue: 86 Sequence Number: 044021 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: /journals/resource/111088197762258