110 citations · 1.9k across the 140 of their papers we have counts for
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Eberlein decomposition for PV inflation systems
Michael Baake, Nicolae Strungaru
The Dirac combs of primitive Pisot--Vijayaraghavan (PV) inflations on the real line or, more generally, in are analysed. We construct a mean-orthogonal splitting for…
Diffraction of a binary non-Pisot inflation tiling
Michael Baake, Uwe Grimm
A one-parameter family of binary inflation rules in one dimension is considered. Apart from the first member, which is the well-known Fibonacci rule, no inflation factor is a unit.…
Non-periodic systems with continuous diffraction measures
Michael Baake, Matthias Birkner, Uwe Grimm
The present state of mathematical diffraction theory for systems with continuous spectral components is reviewed and extended. We begin with a discussion of various characteristic…
Diffraction Theory of Point Processes: Systems with Clumping and Repulsion
Michael Baake, Holger Kösters, Robert V. Moody
We discuss several examples of point processes (all taken from Hough, Krishnapur, Peres, Virág (2009)) for which the autocorrelation and diffraction measures can be calculated expl…
Recent progress in mathematical diffraction
Uwe Grimm, Michael Baake
A brief summary of recent developments in mathematical diffraction theory is given. Particular emphasis is placed on systems with aperiodic order and continuous spectral components…
Scaling of the Thue-Morse diffraction measure
Michael Baake, Uwe Grimm, Johan Nilsson
We revisit the well-known and much studied Riesz product representation of the Thue-Morse diffraction measure, which is also the maximal spectral measure for the corresponding dyna…