Fibonacci, Pavel Kurasov and Peter Sarnak

Orateur: Yves MEYER
Localisation: , France
Type: Séminaire cristolien d'analyse multifractale
Site: UPEC
Salle: en ligne sur Zoom, sur le lien: https://zoom.us/j/99924026300?pwd=RnkySzZrbnFvMlA1OXpzSkVSbHdNUT09
Date de début: 25/03/2021 - 11:00
Date de fin: 25/03/2021 - 12:00

An atomic measure μ is a crystalline measure if it is supported by a locally finite set and if the distributional Fourier transform ^µ of μ is also an atomic measure supported by a locally finite set. Pavel Kurasov and Peter Sarnak recently constructed a crystalline measure whose supportis a Delone set and which is not a generalized Dirac comb. We show that this result is a direct consequence of the remarkable properties of a variant of the Fibonacci sequence.

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