5 papers
On almost periodicity in crystalline measures
Jan MazáÄ, 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…
Diffraction of plane waves, spherical waves, and beyond
Emily R. Korfanty, Jan MazáÄ
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 MazáÄ, 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 MazáÄ
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 the Fibonacci tiling and its modern ramifications
Michael Baake, Franz Gähler, Jan MazáÄ
In the last 30 years, the mathematical theory of aperiodic order has developed enormously. Many new tilings and properties have been discovered, few of which are covered or anticip…