Peer Reviewed Publications

30. Why do Meyer sets diffract?, preprint [ArXiv]
29. Model sets with precompact Borel windows, preprint [ArXiv]
28. (with Daniel Lenz and Timo Spindeler). Pure point spectrum for dynamical systems and mean almost periodicity, preprint [ArXiv]
27. (with Daniel Lenz and Timo Spindeler). Pure point diffraction and mean, Besicovitch and Weyl almost periodicity , preprint [ArXiv]
26. (with Michael Baake). Eberlein decomposition for PV inflation systems , preprint [ArXiv]
25. (with Timo Spindeler). On norm almost periodic measures,
    preprint, to appear in Math Z, 2021. [ArXiv]
24. (with Anna Klick and Adi Tcaciuc). On arithmetic progressions in model sets ,
    preprint, to appear in Discrete and Computational Geometry, 2021. [ArXiv]
23. (with Timo Spindeler). On the (dis)continuity of the Fourier transform of measures,
    Journal of Mathematical Analysis and Applications 499(2),125062, 2021. [ArXiv]
22. (with Jeong-Yup Lee, Daniel Lenz, Christoph Richard and Bernd Sing). Modulated crystals and almost periodic measures,
    Letters in Mathematical Physics, 110(12), 3435-3472, 2020. [ArXiv]
21. On the Fourier transformability of strongly almost periodic measures ,
    Canadian Journal of Mathematics Volume 72, Issue 4, 900-927, 2020. [ArXiv]
20. (with Michael Baake, and Venta Terauds). Pure point measures with sparse support and sparse Fourier--Bohr support ,
    Transactions of the London Mathematical Society Volume 7, Issue 1, 1-32, 2020. [ArXiv]
19. On the Fourier analysis of measures with Meyer set support,
    Journal of Functional Analysis Volume 278, Issue 6,108404, 2020. [ArXiv]
18. (with Daniel Lenz). On weakly almost periodic measures,
    Transactions of American Mathematical Society 371 (10), 6843–6881, 2019. [ArXiv]
17. (with Timo Spindeler). A note on measures vanishing at infinity ,
    Reviews in Mathematical Physics Volume 31, No. 02, 1950007, 2019.[ArXiv]
16. (with Michael Baake and Timo Spindeler).Diffraction of compatible random substitutions in one dimension,
    Indagationes Mathematicae Volume 29, Issue 4, 1031-10711, 2018. [ArXiv].
15. (with Christoph Richard). Pure point diffraction and Poisson summation,
    Annales Henri Poincare, Volume 18, Issue 12, 3903–3931, 2017. [ArXiv].
14. Almost Periodic Pure Point Measures,
    In: Aperiodic Order Vol. 2: Crystallography and Almost Periodicity, Eds: Michael Baake and Uwe Grimm, pp 271-342, 2017.[ArXiv].
13. (with Robert V. Moody). Almost Periodic Measures and their Fourier Transforms,
    In: Aperiodic Order Vol. 2: Crystallography and Almost Periodicity, Eds: Michael Baake and Uwe Grimm, pp 173-270, 2017.
12. (with Christoph Richard). A short guide to pure point diffraction in cut-and-project sets,
    J. Phys. A: Math. Theor., Volume 50, Number 15, 2017.[ArXiv].
11. (with Michael Baake and Christian Huck). On weak model sets of extremal density,
    Indagationes Mathematicae, Volume 28, Issue 1, 3-31, 2017. [ArXiv]
10. (with Venta Terauds). Diffraction theory and almost periodic distributions,
    Journal of Statistical Physics, Vol 164, Issue 5, 1183-1216, 2016. [ArXiv]
9. (with Daniel Lenz). Note on the set of Bragg peaks with high intensity,
   Annales Henri Poincare, Volume 17, Issue 3, 673–687, 2016. [ArXiv]
8. On weighted Dirac combs supported inside model sets,
   J. Phys. A: Math. Theor., Volume 47, Number 33, 2014 [ArXiv]
7. On the Bragg diffraction spectra of a Meyer set,
   Canadian Journal of Mathematics, Volume 65, Issue 3, 675-701, 2013 [ArXiv]
6. Almost periodic measures and Bragg diffraction,
   J. Phys. A: Math. Theor., Volume 46, Number 12, 2013. [PDF]
5. Positive definite measures with discrete Fourier transform and pure point diffraction
   Canadian Mathematical Bulletin, Volume 54, Issue 3, 544-555, 2011. [ArXiv]
4. (with Daniel Lenz). Pure point spectrum for measure dynamical systems on locally compact Abelian groups
   Journal de Mathematiques Pures at Appliquees, 92, Issue 4, 323-341, 2009. [ArXiv]
3. (with Robert V. Moody and Derek Postnikoff) Circular symmetry of pinwheel diffraction
   Annales Henri Poincare, Volume 7, Issue 4, 711–730, 2006. [PDF]
2. Almost periodic measures and long range order in Meyer sets
   Discrete and Computational Geometry, Volume 33, Issue 3, 483–505, 2005. [PDF]
1. ( with Robert Moody ) Point sets and dynamical systems in the autocorrelation topology
   Bulletin of the Canadian Mathematical Society, Volume 47, Issue 1, 82-99, 2004. [PDF]

Other Publications

4. Weak model sets
   Matrix Institute, 2020.
3. Almost periodic measures and diffraction
   Spectral Structures and Topological Methods in Mathematical Quasicrystals, eds. M. Baake, D. Damanik , J. Kellendonk and D. Lenz , Oberwolfach Report No. 46/2017, DOI: 10.4171/OWR/2017/46
2. Almost periodic measures and Meyer sets
   Mini-Workshop: Dynamical versus Diffraction Spectra in the Theory of Quasicrystals, eds. M. Baake, D. Damanik and U. Grimm, Oberwolfach Report No. 53/2014, DOI: 10.4171/OWR/2014/53
1. Bragg Diffraction of Meyer Sets, CMS Notes Vol. 45 , No. 6 (2013).