Aperiodic order and spherical diffraction, I: auto-correlation of regular model sets [PDF]
, 2017 We study uniform and non‐uniform model sets in arbitrary locally compact second countable (lcsc) groups, which provide a natural generalization of uniform model sets in locally compact abelian groups as defined by Meyer and used as mathematical models of
Michael Björklund +2 more
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Edge modes of scattering chains with aperiodic order [PDF]
Optics Letters, 2018 4 pages, 4 ...
Wang, Ren +5 more
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Soliton pinning by long-range order in aperiodic systems [PDF]
, 1995 We investigate propagation of a kink soliton along inhomogeneous chains with two different constituents, arranged either periodically, aperiodically, or randomly.
A. Barone +15 more
core +4 more sources
Aperiodicity, Star-freeness, and First-order Logic Definability of Operator Precedence Languages [PDF]
Logical Methods in Computer Science, 2023 A classic result in formal language theory is the equivalence among non-counting, or aperiodic, regular languages, and languages defined through star-free regular expressions, or first-order logic.
Dino Mandrioli +2 more
doaj +3 more sources
Regularity of aperiodic minimal subshifts [PDF]
Bulletin of Mathematical Sciences, 2017 At the turn of this century Durand, and Lagarias and Pleasants established that key features of minimal subshifts (and their higher-dimensional analogues) to be studied are linearly repetitive, repulsive and power free.
F. Dreher +4 more
doaj +5 more sources
Aperiodic order induced enhancement of weak nonlocality in multilayered dielectric metamaterials [PDF]
Physical review B, 2018 Recent studies on fully dielectric multilayered metamaterials have shown that the negligibly small nonlocal effects (spatial dispersion) typically observed in the limit of deeply subwavelength layers may be significantly enhanced by peculiar boundary ...
Marino Coppolaro +2 more
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Spectra of Schreier graphs of Grigorchuk's group and Schroedinger\n operators with aperiodic order [PDF]
, 2014 We study spectral properties of the Laplacians on Schreier graphs arising from Grigorchuk’s group acting on the boundary of the infinite binary tree.
Rostislav Grigorchuk +2 more
semanticscholar +3 more sources
Spectral triples and aperiodic order [PDF]
, 2010 40 pages, 1 ...
Johannes Kellendonk, Jean Savinien
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Aperiodicity-Induced Second-Order Phase Transition in the 8-State Potts Model [PDF]
, 1997 We investigate the critical behavior of the two-dimensional 8-state Potts model with an aperiodic distribution of the exchange interactions between nearest-neighbor rows.
A. B. Harris +33 more
core +2 more sources
Aperiodic order and pure point diffraction [PDF]
Philosophical Magazine, 2008 We give a leisurely introduction into mathematical diffraction theory with a focus on pure point diffraction. In particular, we discuss various characterisations of pure point diffraction and common models arising from cut and project schemes. We finish with a list of open problems.
Daniel Lenz
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