Titlebook: Beyond Quasicrystals; Les Houches, March 7 Françoise Axel,Denis Gratias Conference proceedings 1995 Springer-Verlag Berlin Heidelberg 1995

musicologist

一个姐姐

BROW

brachial-plexus

Sanctions outside Organisational Frameworks,als. In the typical examples the potentials are generated by substitutional sequences, like the Fibonacci or the Thue-Morse sequence. We concentrate on rigorous results which will be explained rather than proved. The necessary mathematical background is provided in the text.

medieval

escalate

finale

https://doi.org/10.1007/978-3-319-54036-8A natural question about a sequence taking its values in a finite alphabet, is the following: how far from a random sequence is it and which appropriate quantitative analysis can we imagine?

Gyrate

挑剔为人

Quasicrystals, Diophantine approximation and algebraic numbersQuasicrystals can be characterized by a remarkable Diophantine approximation property. This permits to define the dual quasicrystal Λ* as the collection of . in ℝ. such that |..−1| ≤ 1 for each . in the given quasicrystal Λ. In many cases one obtains Λ** = Λ and this duality is nicely related to the spectral properties of quasicrystals.

justify

Spectral study of automatic and substitutive sequencesA natural question about a sequence taking its values in a finite alphabet, is the following: how far from a random sequence is it and which appropriate quantitative analysis can we imagine?