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Hölder Regularity of the Integrated Density of States for Quasi-periodic Long-range Operators on $$\ell ^2({\mathbb {Z}}^d)$$

Lingrui Ge, Jiangong You, Xin Zhao

2022Communications in Mathematical Physics13 citationsDOI

Topics & Concepts

Diophantine equationLyapunov exponentMathematicsExponentCardinality (data modeling)Duality (order theory)PolynomialDiophantine approximationRange (aeronautics)Quasi periodicPure mathematicsCombinatoricsMathematical analysisMathematical physicsPhysicsQuantum mechanicsNonlinear systemPhilosophyAstrophysicsComposite materialComputer scienceData miningLinguisticsMaterials scienceSpectral Theory in Mathematical PhysicsQuantum chaos and dynamical systemsQuasicrystal Structures and Properties
Hölder Regularity of the Integrated Density of States for Quasi-periodic Long-range Operators on $\ell ^2({\mathbb {Z}}^d)$ | Litcius