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- W2000953397 abstract "Abstract The random walk and the self-avoiding walk in finitely ramified fractal spaces have been studied. The exact values of size exponents v of the random walk and the self-avoiding walk on the modified Koch fractal with loops and the Sierpinski gasket are obtained from the transfer matrix method. We find v= ln(3) ln( 40 3 ) and v= ln(2) ln(5) for the random walk, and v=0.877 and v=0.785 for the self-avoiding walk on the Koch fractal and the Sierpinski gasket, respectively. The values for the self-avoiding walk are different from those obtained from the conventional renormalization group calculations." @default.
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- W2000953397 date "1994-04-01" @default.
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- W2000953397 title "The transfer matrix approach to the self-avoiding walk in fractal spaces" @default.
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- W2000953397 doi "https://doi.org/10.1016/0378-4371(94)90517-7" @default.
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