複雜系統之簡介(梁鈞泰) - 中研院物理研究所- Academia Sinica
複雜系統之簡介(梁鈞泰) - 中研院物理研究所- Academia Sinica
複雜系統之簡介(梁鈞泰) - 中研院物理研究所- Academia Sinica
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Fractal dimension of a random walk<br />
L<br />
2<br />
=<br />
x<br />
2<br />
≈<br />
C t<br />
L<br />
Let each step carry a unit mass m.<br />
After t steps, total mass M is<br />
M=m t ≈ m L 2 /C ~ L 2<br />
D=2 in any dimension
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