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Use of combinatorial algebra for diffusion on fractals

Physical Review A, ISSN: 1050-2947, Vol: 34, Issue: 3, Page: 2501-2504
1986
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The use of combinatorial algebra for understanding diffusive motion on a geometrically ordered fractal lattice is demonstrated. The specific example of the fractal lattices used are the Pascal-Sierpiński gaskets of prime orders of which the well-known Sierpiński gasket is a special case. It is shown that the conclusions obtained from such an analysis can be meaningfully interpreted in physical terms. © 1986 The American Physical Society.

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