Complex Dimensions and Fractal Strings

Abstract: Some years ago M.Lapidus introduced the notion of complex dimensions for a Cantor set in the real line. These occur as poles of the complex Dirichlet series formed from the lengths of the bounded intervals (the "fractal strings") in the complement of the Cantor set. We will explore further these ideas when the Cantor set is the attractor of an iterated function scheme (concentrating on those whose contractions are a finite set of inverse branches of the usual Gauss map).

dynamical systemsnumber theory

Audience: researchers in the topic

( slides )

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One World Numeration seminar

Series comments: Description: Online seminar on numeration systems and related topics

For questions or subscribing to the mailing list, contact the organisers at numeration@irif.fr

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