4.5 Article

Relating diffraction and spectral data of aperiodic tilings: Towards a Bloch theorem

Related references

Note: Only part of the references are listed.
Article Mathematics

Proof of the magnetic gap-labelling conjecture for principal solenoidal tori

Moulay Tahar Benameur et al.

JOURNAL OF FUNCTIONAL ANALYSIS (2020)

Article Physics, Multidisciplinary

Revealing the Topology of Quasicrystals with a Diffraction Experiment

A. Dareau et al.

PHYSICAL REVIEW LETTERS (2017)

Article Materials Science, Multidisciplinary

Measuring topological invariants from generalized edge states in polaritonic quasicrystals

Florent Baboux et al.

PHYSICAL REVIEW B (2017)

Article Mathematics

Gabor frames for quasicrystals, K-theory, and twisted gap labeling

Michael Kreisel

JOURNAL OF FUNCTIONAL ANALYSIS (2016)

Article Mathematics, Applied

Dynamical versus diffraction spectrum for structures with finite local complexity

Michael Baake et al.

ERGODIC THEORY AND DYNAMICAL SYSTEMS (2015)

Article Physics, Multidisciplinary

Fractal Energy Spectrum of a Polariton Gas in a Fibonacci Quasiperiodic Potential

D. Tanese et al.

PHYSICAL REVIEW LETTERS (2014)

Article Physics, Multidisciplinary

Topological States and Adiabatic Pumping in Quasicrystals

Yaacov E. Kraus et al.

PHYSICAL REVIEW LETTERS (2012)

Article Physics, Multidisciplinary

Topological Equivalence between the Fibonacci Quasicrystal and the Harper Model

Yaacov E. Kraus et al.

PHYSICAL REVIEW LETTERS (2012)

Article Mathematics

On the spectrum of the Thue-Morse quasicrystal and the rarefaction phenomenon

Jean-Pierre Gazeau et al.

Journal de Theorie des Nombres de Bordeaux (2011)

Article Physics, Mathematical

PV Cohomology of the Pinwheel Tilings, their Integer Group of Coinvariants and Gap-Labeling 15

Haija Moustafa

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2010)

Article Mathematics, Applied

Complexity and cohomology for cut-and-projection tilings

Antoine Julien

ERGODIC THEORY AND DYNAMICAL SYSTEMS (2010)

Article Physics, Mathematical

The fractal dimension of the spectrum of the Fibonacci Hamiltonian

David Damanik et al.

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2008)

Article Mathematics, Applied

Cohomology in one-dimensional substitution tiling spaces

Marcy Barge et al.

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY (2008)

Article Mathematics, Applied

Groupoids, von Neumann algebras and the integrated density of states

Daniel Lenz et al.

MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY (2007)

Article Mathematics

The Ruelle-Sullivan map for actions of Rn

J Kellendonk et al.

MATHEMATISCHE ANNALEN (2006)

Article Physics, Mathematical

Spaces of tilings, finite telescopic approximations and gap-labeling

J Bellissard et al.

COMMUNICATIONS IN MATHEMATICAL PHYSICS (2006)

Article Mathematics, Applied

Tiling spaces are Cantor set fiber bundles

L Sadun et al.

ERGODIC THEORY AND DYNAMICAL SYSTEMS (2003)