Directions in Mathematical Quasicrystals

DOI10.1090/crmm/013zbMath0955.00025OpenAlexW1506222223MaRDI QIDQ4527389

No author found.

Publication date: 5 February 2001

Full work available at URL: https://doi.org/10.1090/crmm/013

Collections of articles of miscellaneous specific interest (00B15) Proceedings, conferences, collections, etc. pertaining to convex and discrete geometry (52-06) Proceedings, conferences, collections, etc. pertaining to statistical mechanics (82-06) Quasicrystals and aperiodic tilings in discrete geometry (52C23) Dynamic critical phenomena in statistical mechanics (82C27)

Related Items (47)

AVERAGE FERMAT DISTANCES OF TWO-COLORED SUBSTITUTION NETWORKS ⋮ Local versions of the Wiener-Lévy theorem ⋮ Universal groups for point-sets and tilings. ⋮ Dynamical directions in numeration ⋮ Substitutions, abstract number systems and the space filling property ⋮ Continuity of eigenfunctions of uniquely ergodic dynamical systems and intensity of Bragg peaks ⋮ Scale-free effect of substitution networks ⋮ Pure point diffraction and cut and project schemes for measures: the smooth case ⋮ Around the Danzer problem and the construction of dense forests ⋮ Discrete quasiperiodic sets with predefined local structure ⋮ Extinctions and correlations for uniformly discrete point processes with pure point dynamical spectra ⋮ On the notions of symmetry and aperiodicity for Delone sets ⋮ Subshifts with leading sequences, uniformity of cocycles and spectra of Schreier graphs ⋮ Two-dimensional iterated morphisms and discrete planes ⋮ Canonical substitutions tilings of Ammann-Beenker type ⋮ Spectral theory of dynamical systems as diffraction theory of sampling functions ⋮ A note on entropy of Delone sets ⋮ Generalized domino-shuffling. ⋮ On sums of semibounded Cantor sets ⋮ Temperate distributions with locally finite support and spectrum on Euclidean spaces ⋮ Brun expansions of stepped surfaces ⋮ Delone sets with finite local complexity: Linear repetitivity versus positivity of weights ⋮ About thin arithmetic discrete planes ⋮ Highly irregular separated nets ⋮ Parallelogram tilings, worms, and finite orientations ⋮ The Thue-Morse-Pascal double sequence and similar structures ⋮ Spectra of Schreier graphs of Grigorchuk's group and Schroedinger operators with aperiodic order ⋮ Modulated crystals and almost periodic measures ⋮ Frequency dependence of Hölder continuity for quasiperiodic Schrödinger operators ⋮ Spectral notions of aperiodic order ⋮ An ergodic theorem for Delone dynamical systems and existence of the integrated density of states ⋮ Random tilings of spherical 3-manifolds ⋮ Substitution dynamical systems: characterization of linear repetitivity and applications ⋮ Generic sets in spaces of measures and generic singular continuous spectrum for Delone Hamiltonians ⋮ Relative topological entropy for actions of non-discrete groups on compact spaces in the context of cut and project schemes ⋮ Averages of automatic sequences ⋮ Pure point spectrum for measure dynamical systems on locally compact Abelian groups ⋮ Quasiperiodic spectra and orthogonality for iterated function system measures ⋮ On the index of Siegel grids and its application to the tomography of quasicrystals ⋮ The Fibonacci Hamiltonian ⋮ Arithmetic Discrete Planes Are Quasicrystals ⋮ A classification of aperiodic order via spectral metrics and Jarník sets ⋮ Uniqueness in discrete tomography of Delone sets with long-range order ⋮ On the existence of \(U\)-polygons of class \(c\geq 4\) in planar point sets ⋮ Quasicrystals and almost periodicity ⋮ Upper bounds in quantum dynamics ⋮ Discrete Tomography of Mathematcal Quasicrystals: A Primer

This page was built for publication: Directions in Mathematical Quasicrystals