Eur. Phys. J. B 4, 103-112 (1998)
https://doi.org/10.1007/s100510050356

Hierarchy of critical exponents of currents on (d+1)-simplex fractals

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

Corresponding author: ^a tabriz_u@vax.ipm.ac.ir

Received: 19 November 1997
Revised: 21 January 1998
Accepted: 9 February 1998
Published online: 15 July 1998

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.