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Circular Symmetry of Pinwheel Diffraction

- R. Moody, Derek Postnikoff, Nicolae Strungaru
- Mathematics
- 24 May 2006

Abstract.A method is given for explicitly determining the autocorrelation of the pinwheel tiling by use of the substitution system generating the tiling. Using this a new proof of the circular… Expand

Almost Periodic Measures and Long-Range Order in Meyer Sets

- Nicolae Strungaru
- Computer Science, Mathematics
- Discret. Comput. Geom.
- 21 January 2005

The main result of this paper is that the diffraction pattern of any Meyer set with a well-defined autocorrelation has a relatively dense set of Bragg peaks. In the second part of the paper we… Expand

Almost Periodic Measures and Meyer Sets

- Nicolae Strungaru
- Physics, Mathematics
- 5 January 2015

In the first part, we construct a cut and project scheme from a family $\{P_\varepsilon\}$ of sets verifying four conditions. We use this construction to characterize weighted Dirac combs defined by… Expand

On weak model sets of extremal density

- M. Baake, C. Huck, Nicolae Strungaru
- Mathematics
- 22 December 2015

The theory of regular model sets is highly developed, but does not cover examples such as the visible lattice points, the k-th power-free integers, or related systems. They belong to the class of… Expand

Point Sets and Dynamical Systems In the Autocorrelation Topology

- R. Moody, Nicolae Strungaru
- Mathematics
- Canadian Mathematical Bulletin
- 1 March 2004

Abstract This paper is about the topologies arising from statistical coincidence on locally finite point sets in locally compact Abelian groups $G$ . The first part defines a uniform topology… Expand

On weighted Dirac combs supported inside model sets

- Nicolae Strungaru
- Mathematics, Physics
- 30 September 2013

In this paper we prove that given a weakly almost periodic measure μ supported inside some model set with closed window W, then the strongly almost periodic component and the null weakly almost… Expand

On the Bragg Diffraction Spectra of a Meyer Set

- Nicolae Strungaru
- Mathematics, Physics
- Canadian Journal of Mathematics
- 15 March 2010

Abstract Meyer sets have a relatively dense set of Bragg peaks, and for this reason they may be considered as basic mathematical examples of (aperiodic) crystals. In this paper we investigate the… Expand

A short guide to pure point diffraction in cut-and-project sets

- C. Richard, Nicolae Strungaru
- Physics, Mathematics
- 28 June 2016

We briefly review the diffraction of quasicrystals and then give an elementary alternative proof of the diffraction formula for regular cut-and-project sets, which is based on Bochner's theorem from… Expand

On the Fourier analysis of measures with Meyer set support

- Nicolae Strungaru
- Mathematics, Physics
- 10 July 2018

Abstract In this paper we show the existence of the generalized Eberlein decomposition for Fourier transformable measures with Meyer set support. We prove that each of the three components is also… Expand

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