Eigenvalues of Laplacians on Higher Dimensional Vicsek Set Graphs

نویسندگان

چکیده

We study the graphs associated with Vicsek sets in higher dimensional settings. First, we eigenvalues of Laplacians on approximating sets, finding a general spectral decimation function. This is an extension earlier results two sets. Second, set lattices, which are natural analogues to Sierpinski lattices. have criterion when different lattices isomorphic.

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ژورنال

عنوان ژورنال: Fractals

سال: 2021

ISSN: ['1793-6543', '0218-348X']

DOI: https://doi.org/10.1142/s0218348x22500190