“School of Physics”
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| Paper IPM / P / 6564 | ||||||||||||||||||||||||
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We introduce mixed fractals and give a prescription for calculating their
fractal dimensions. Using Perron-Frobenius theorem about stochastic matrices,
we estimate lower and upper limits of critical exponent v for Hamiltonian
self-avoiding walks and Hamiltonian self trail. We show that in almost all
cases 1/v equals the fractal dimension of the fractals.
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