Spectral theory and x-ray diffraction

From MaRDI portal
Publication:3136665

DOI10.1063/1.530108zbMath0808.47052OpenAlexW2048009174MaRDI QIDQ3136665

Steven Dworkin

Publication date: 21 October 1993

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.530108




Related Items

Rigidity and mapping class group for abstract tiling spacesBragg spectrum, K-theory, and gap labeling of aperiodic solidsConstraints on pure point diffraction on aperiodic point patterns of finite local complexity*On substitution automorphisms with pure singular spectrumContinuity of eigenfunctions of uniquely ergodic dynamical systems and intensity of Bragg peaksOn diffraction by aperiodic structuresSymmetry of tilings of the planePure point diffraction and cut and project schemes for measures: the smooth caseOn a generalization of the selection theorem of MahlerSubstitution-based structures with absolutely continuous spectrumExtinctions and correlations for uniformly discrete point processes with pure point dynamical spectraDynamical versus diffraction spectrum for structures with finite local complexityOn the (dis)continuity of the Fourier transform of measuresAN APERIODIC TILE WITH EDGE-TO-EDGE ORIENTATIONAL MATCHING RULESSelf-similarity and spectral theory: on the spectrum of substitutionsDelone dynamical systems and spectral convergencePure point spectrum for dynamical systems and mean, Besicovitch and Weyl almost periodicityWhy do (weak) Meyer sets diffract?Concentration inequalities for functions of Gibbs fields with application to diffraction and random Gibbs measuresStationary processes and pure point diffractionCentral sets and substitutive dynamical systemsProximality and pure point spectrum for tiling dynamical systemsOn the modulus of continuity for spectral measures in substitution dynamicsDelone Sets and Dynamical SystemsIntroduction to Hierarchical Tiling Dynamical SystemsBrillouin zone labelling for quasicrystalsOn weakly almost periodic measuresAperiodic order and spherical diffraction. III: The shadow transform and the diffraction formulaSelf affine Delone sets and deviation phenomenaSpectral notions of aperiodic orderThe Pisot conjecture for -substitutionsSpectral theory of substitutionsA primer of substitution tilings of the Euclidean planeA spectral cocycle for substitution systems and translation flowsMean sensitive, mean equicontinuous and almost periodic functions for dynamical systemsHomological Pisot substitutions and exact regularityPure point diffractive substitution Delone sets have the Meyer propertyDworkin's argument revisited: Point processes, dynamics, diffraction, and correlationsRelating diffraction and spectral data of aperiodic tilings: towards a Bloch theoremPure point spectrum for measure dynamical systems on locally compact Abelian groupsPure point/continuous decomposition of translation-bounded measures and diffractionEquilibrium configurations for generalized Frenkel-Kontorova models on quasicrystalsQuasicrystals and almost periodicityFactors of Pisot tiling spaces and the Coincidence Rank ConjectureOn a ``structure intermediate between quasiperiodic and random.An autocorrelation and a discrete spectrum for dynamical systems on metric spacesSpectrum of a Rudin-Shapiro-like sequence



Cites Work