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Hierarchy of critical exponents of currents on -simplex fractals

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Abstract:

Using the symmetry of ( d +1)-simplex fractals with decimation number b =2, the current distribution has been determined. Then using the renormalization group technique, based on the independent Schur's invariant polynomials of current distributions, the multifractal spectrum of even moments of current distributions has been evaluated analytically up to order six for an arbitrary value of d. Also the scaling exponents of order 8 and order 10 have been calculated numerically up to d =30.

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Authors and Affiliations

  1. Faculty of Physics, Tabriz University, Tabriz, 51664, Iran and Institute for Studies in Theoretical Physics and Mathematics, Teheran, 19395-1795, Iran, , , , , , IR

    M.A. Jafarizadeh

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  1. M.A. Jafarizadeh
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Received: 19 November 1997 / Revised: 21 January 1998 / Accepted: 9 February 1998

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Jafarizadeh, M. Hierarchy of critical exponents of currents on -simplex fractals. Eur. Phys. J. B 4, 103–112 (1998). https://doi.org/10.1007/s100510050356

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  • DOI: https://doi.org/10.1007/s100510050356

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