A Tube Formula for the Koch Snowflake Curve, with Applications to Complex Dimensions

Abstract

A formula for the interior ε-neighbourhood of the classical von Koch snowflake curve is computed in detail. This function of ε is shown to match quite closely with earlier predictions from [La-vF1] of what it should be, but is also much more precise. The resulting ‘tube formula’ is expressed in terms of the Fourier coefficients of a suitable nonlinear and… (More)

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