5 papers
On almost periodicity in crystalline measures
Jan Mazáč, Christoph Richard, Nicolae Strungaru
Meyer defined crystalline measures as tempered distributions such that both and its Fourier transform are pure-point Radon measures of locally finite support. H…
Diffraction of plane waves, spherical waves, and beyond
Emily R. Korfanty, Jan Mazáč
We review the diffraction theory for plane waves and establish its connection to the diffraction of Besicovitch almost periodic functions, extending the theory to an unbounded sett…
On the absolute value of the autocorrelations of the Thue-Morse sequence
Michael Coons, Jan Mazáč, Ari Pincus-Kazmar +1
Recently, Baake and Coons proved several results on the average size of the autocorrelations of the Thue--Morse sequence. They also considered the absolute value of the autocorrela…
Exact renormalisation for patch frequencies in inflation systems
Jan Mazáč
This note provides an explicit way of calculating the patch frequencies in geometric realisations of primitive substitutions using exact renormalisation relations. Further, we prof…
On generalized self-similarities of cut-and-project sets
Zuzana Masáková, Jan Mazáč, Edita Pelantová
Cut-and-project sets represent one of the types of uniformly discrete relatively dense sets. They arise by projection of a section of a higher-dimensional la…