Publications

51. (with Hans G. Feichtinger, Christoph Richard and Christoph Schumacher ). Twice Fourier transformable measures and diffraction theory, preprint, 2024. [ArXiv]

50. (with Daniel Lenz and Christoph Richard). Which Meyer sets are regular model sets? A characterization via almost periodicity, preprint, 2024. [ArXiv]

49. (with Emily Korfanty). Circles in diffraction, preprint, 2024. [ArXiv]

48. (with Daniel Lenz). Diffraction as a unitary representation and the orthogonality of measures with respect to the reflected Eberlein convolution, preprint, 2024. [ArXiv]

47. (with Aisling Pouti and Christopher Ramsey). Generating functions of substitutions , preprint, 2023. [ArXiv]

46. On the orthogonality of measures of different spectral type with respect to twisted Eberlein convolution, preprint, 2022. [ArXiv]

45. (with Timo Spindeler). Semi-measures and their Fourier transform, preprint, 2021.[ArXiv]

44. Model sets with precompact Borel windows, preprint, 2020. [ArXiv]

43. (with Daniel Lenz and Timo Spindeler). Pure point diffraction and mean, Besicovitch and Weyl almost periodicity , preprint, 2020. [ArXiv]

42. (with Molly Evans, Dylan Gawlak, Christopher Ramsey and Ryan Trang). Colourings of aperiodic tilings, preprint, to appear in Contributions to Discrete Mathematics, 2024. [ArXiv]

41. (with Adam Humeniuk and Christopher Ramsey). Diffraction of the primes and other sets of zero density, Journal of Australian Mathematical Society 119(2), 202-245, 2025. [ArXiv]

40. (with Michael Coons and Christopher Ramsey). Relative position in binary substitutions, Journal of Integer Sequences 28 Article 25.1.5, 2025. [ArXiv]

39. (with Daniel Lenz and Timo Spindeler). Pure point diffraction and almost periodicity, Israel Journal of Chemestry 64(10-11), e202300158, 2024. [ArXiv]

38. (with Daniel Lenz and Timo Spindeler). The (reflected) Eberlein convolution of measures, Indagationes Mathematicae 35(5), 959-988, 2024. [ArXiv]

37. (with Christoph Richard). Inter model sets in Rd are model sets, Indagationes Mathematicae 35(5), 865-889, 2024.  [ArXiv]

36. (with Daniel Lenz and Timo Spindeler). Abstract almost periodicity for group actions on uniform topological spaces, Canadian Journal of Mathematics 76(3), 798-829, 2024. [ArXiv]

35. (with Timo Spindeler). Tempered distributions with translation bounded measure as Fourier transform and the generalized Eberlein decomposition, Mathematische Nachrichten 297(2), 716-740, 2024. [ArXiv]

34. (with Daniel Lenz and Timo Spindeler). Pure point spectrum for dynamical systems and mean, Besicovitch and Weyl almost periodicity, Ergodic Theory and Dynamical Systems 44(2), 524-568, 2024. [ArXiv]

33. Fourier transformable measures with Meyer set support and their lift to the cut and project scheme, Canadian Mathematical Bulletin 66(3), 1044-1060,  2023.  [ArXiv].

32. (with Michael Baake and Timo Spindeler). On eigenmeasures under Fourier transform, Journal of Fourier Analysis and Applications 29, 65, 2023. [ArXiv]

31. (with Anna Klick). On higher dimensional arithmetic progressions in Meyer sets, Journal of the Australian Mathematical Society 114(3), 312-336, 2023. [ArXiv]

30. Why do Meyer sets diffract?, Letters in Mathematical Physics 113(3), 52, 28pp,  2023. [ArXiv]

29. (with Gerhard Keller and Christoph Richard). Spectrum of weak model sets with Borel windows,  Canadian Mathematical Bulletin 66(2), 411 - 427, 2023. [ArXiv]

28. (with Michael Baake). A note on tempered measures, Colloquium Mathematicum 172, 15-30, 2023. [ArXiv]

27. (with Felix Pogorzelski and Christoph Richard). Leptin densities in amenable groups,  Journal of Fourier Analysis and Applications 28, 85, 2022. [ArXiv]

26. (with Anna Klick and Adi Tcaciuc). On arithmetic progressions in model sets , Discrete and Computational Geometry 67, 930–-946, 2022. [ArXiv]

25. (with Timo Spindeler). On norm almost periodic measures, Math Z. 299, 233-255, 2021. [ArXiv]

24. (with Michael Baake). Eberlein decomposition for PV inflation systems, Letters in Mathematical Physics 111(2), 59, 21 pp., 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 72 (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 7(1), 1-32, 2020. [ArXiv]

19. On the Fourier analysis of measures with Meyer set support, Journal of Functional Analysis 278(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 31(02), 1950007, 2019.[ArXiv]

16. (with Michael Baake and Timo Spindeler). Diffraction of compatible random substitutions in one dimension, Indagationes Mathematicae 29(4), 1031-10711, 2018. [ArXiv].

15. (with Christoph Richard). Pure point diffraction and Poisson summation, Annales Henri Poincare 18(12), 3903–3931, 2017. [ArXiv]

14. Almost Periodic Pure Point Measures, in: Aperiodic Order Vol. 2: Crystallography and Almost Periodicity (Eds: Michael Baake, 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, 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. 50(15), 2017.[ArXiv].

11. (with Michael Baake and Christian Huck). On weak model sets of extremal density, Indagationes Mathematicae 28(1), 3-31, 2017. [ArXiv]

10. (with Venta Terauds). Diffraction theory and almost periodic distributions, Journal of Statistical Physics 164(5), 1183-1216, 2016. [ArXiv]

 9. (with Daniel Lenz). Note on the set of Bragg peaks with high intensity, Annales Henri Poincare 17(3), 673–687, 2016. [ArXiv]

 8. On weighted Dirac combs supported inside model sets, J. Phys. A: Math. Theor. 47(33), 2014. [ArXiv]

 7. On the Bragg diffraction spectra of a Meyer set, Canadian Journal of Mathematics 65(3), 675-701, 2013 [ArXiv]

 6. Almost periodic measures and Bragg diffraction, J. Phys. A: Math. Theor. 46(12), 2013.

 5. Positive definite measures with discrete Fourier transform and pure point diffraction, Canadian Mathematical Bulletin 54(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(4), 323-341, 2009. [ArXiv]

 3. (with Robert V. Moody and Derek Postnikoff) Circular symmetry of pinwheel diffraction, Annales Henri Poincare 7(4), 711–730, 2006. 

 2. Almost periodic measures and long range order in Meyer sets, Discrete and Computational Geometry 33(3), 483–505, 2005. 

1. (with Robert Moody) Point sets and dynamical systems in the autocorrelation topology, Canadian Mathematical Bulletin 47(1), 82-99, 2004.  

8. Competition Highlights: The Alberta High School Mathematics Competition, Crux Mathematicorum 51(6), 272-274, (2025).

7. Competition Highlights: The Canada Jay Mathematical Competition, Crux Mathematicorum 51(2), 71-73, (2025).

6. Aspects of Aperiodic Order, MFO report, 2023.

5. Almost Periodicity in Aperiodic Order , BIRS report, 2022.

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, 2017. 

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, 2014.

1. Bragg Diffraction of Meyer Sets, CMS Notes 45(6), 14-15 ,2013.