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LOCALIZATION ON SNOWFLAKE DOMAINS

BRITTA DAUDERT

Department of Mathematics, University of California, Riverside, CA 92521–0135, USA

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and

MICHEL L. LAPIDUS

Department of Mathematics, University of California, Riverside, CA 92521–0135, USA

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https://doi.org/10.1142/S0218348X0700354XCited by:7 (Source: Crossref)

Abstract

The geometric features of the square and triadic Koch snowflake drums are compared using a position entropy defined on the grid points of the discretizations (prefractals) of the two domains. Weighted graphs using the geometric quantities are created and random walks on the two prefractals are performed. The aim is to understand if the existence of narrow channels in the domain may cause the "localization" of eigenfunctions.

Keywords:

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