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arXiv · 2211.02827

Estimates of the local spectral dimension of the Sierpinski gasket

Masanori Hino
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Abstract

We discuss quantitative estimates of the local spectral dimension of the two-dimensional Sierpinski gasket. The present arguments were inspired by a previous study of the distribution of the Kusuoka measure by R. Bell, C.-W. Ho, and R. S. Strichartz [Energy measures of harmonic functions on the Sierpi\'nski gasket, Indiana Univ. Math. J. 63 (2014), 831-868].

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Masanori Hino. 2022-11-05. Estimates of the local spectral dimension of the Sierpinski gasket. https://doi.org/10.1007/978-3-031-37800-3_11

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