Overlap algorithm for general S-adic tilings

Abstract: We investigate the question of when a tiling has pure point spectrum, for the class of $S$-adic tilings, which includes all self-affine tilings. The overlap algorithm by Solomyak is a powerful tool to study this problem for the class of self-affine tilings. We generalize this algorithm for general $S$-adic tilings, and apply it to a class of block $S$-adic tilings to show almost all of them have pure point spectra. This is a joint work with Jörg Thuswaldner.

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

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