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math.FA2025
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…
math.NT2025
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…
math.DS2025
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…