- Model sets with precompact Borel windows, preprint [ArXiv]
- (with Daniel Lenz and Timo Spindeler). Pure point spectrum for dynamical systems and mean almost periodicity, preprint [ArXiv]
- (with Daniel Lenz and Timo Spindeler). Pure point diffraction and mean, Besicovitch and Weyl almost periodicity , preprint [ArXiv]
- (with Michael Baake). Eberlein decomposition for PV inflation systems , preprint [ArXiv]
- (with Timo Spindeler). On the (dis)continuity of the Fourier transform of measures, preprint [ArXiv]
- (with Timo Spindeler). On norm almost periodic measures,
, preprint, to appear in Math Z, 2021. [ArXiv]- (with Anna Klick and Adi Tcaciuc). On arithmetic progressions in model sets ,
, preprint, to appear in Discrete and Computational Geometry, 2021. [ArXiv]- (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]- On the Fourier transformability of strongly almost periodic measures ,
Canadian Journal of Mathematics Volume 72, Issue 4, 900-927, 2020. [ArXiv]- (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]- On the Fourier analysis of measures with Meyer set support,
Journal of Functional Analysis Volume 278, Issue 6,108404, 2020. [ArXiv]- (with Daniel Lenz). On weakly almost periodic measures,
Transactions of American Mathematical Society 371 (10), 6843–6881, 2019. [ArXiv]- (with Timo Spindeler). A note on measures vanishing at infinity ,
Reviews in Mathematical Physics Volume 31, No. 02, 1950007, 2019.[ArXiv]- (with Michael Baake and Timo Spindeler).Diffraction of compatible random substitutions in one dimension,
Indagationes Mathematicae Volume 29, Issue 4, 1031-10711, 2018. [ArXiv].- (with Christoph Richard). Pure point diffraction and Poisson summation,
Annales Henri Poincare, Volume 18, Issue 12, 3903–3931, 2017. [ArXiv].- 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].- (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.- (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].- (with Michael Baake and Christian Huck). On weak model sets of extremal density,
Indagationes Mathematicae, Volume 28, Issue 1, 3-31, 2017. [ArXiv]- (with Venta Terauds). Diffraction theory and almost periodic distributions,
Journal of Statistical Physics, Vol 164, Issue 5, 1183-1216, 2016. [ArXiv]- (with Daniel Lenz). Note on the set of Bragg peaks with high intensity,
Annales Henri Poincare, Volume 17, Issue 3, 673–687, 2016. [ArXiv]- On weighted Dirac combs supported inside model sets,
J. Phys. A: Math. Theor., Volume 47, Number 33, 2014 [ArXiv]- On the Bragg diffraction spectra of a Meyer set,
Canadian Journal of Mathematics, Volume 65, Issue 3, 675-701, 2013 [ArXiv]- Almost periodic measures and Bragg diffraction,
J. Phys. A: Math. Theor., Volume 46, Number 12, 2013. [PDF]- Positive definite measures with discrete Fourier transform and pure point diffraction
Canadian Mathematical Bulletin, Volume 54, Issue 3, 544-555, 2011. [ArXiv]- (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]- (with Robert V. Moody and Derek Postnikoff) Circular symmetry of pinwheel diffraction
Annales Henri Poincare, Volume 7, Issue 4, 711–730, 2006. [PDF]- Almost periodic measures and long range order in Meyer sets
Discrete and Computational Geometry, Volume 33, Issue 3, 483–505, 2005. [PDF]- ( 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]
- Weak model sets
Matrix Institute, 2020.- 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- 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- Bragg Diffraction of Meyer Sets, CMS Notes Vol. 45 , No. 6 (2013).
|