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Hierarchy of Critical Exponents on Sierpinski fractal resistor networks

M. A. Jafarizadeh·M. Mirzaee·H. Aghlara
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Abstract

Using the S_3-symmetry of Sierpinski fractal resistor networks we determine the current distribution as well as the multifractals spectrum of moments of current distribution by using the real space renormalization group technique based on ([q/4]+1) independent Schure's invariant polynomials of inwards flowing currents.

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M. A. Jafarizadeh, M. Mirzaee, H. Aghlara. 2000-05-21. Hierarchy of Critical Exponents on Sierpinski fractal resistor networks. https://arxiv.org/abs/cond-mat/0005338

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