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arxiv: 1711.10350 · v3 · pith:FPYMOSX4new · submitted 2017-11-27 · 🧮 math.AP

A spectral study of the Minkowski Curve

classification 🧮 math.AP
keywords curvelaplacianminkowskispectralbearcharacteristicconstructiondecimation
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In the following, we give an explicit construction of a Laplacian on the Minkowski curve, with energy forms that bear the geometric characteristic of the structure. The spectrum of the Laplacian is obtained by means of spectral decimation.

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