Results 81 to 90 of about 12,987 (191)
Planar bilipschitz extension from separated nets
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract We prove that every L$L$‐bilipschitz mapping Z2→R2$\mathbb {Z}^2\rightarrow \mathbb {R}^2$ can be extended to a C(L)$C(L)$‐bilipschitz mapping R2→R2$\mathbb {R}^2\rightarrow \mathbb {R}^2$, and we provide a polynomial upper bound for C(L)$C(L)$. Moreover, we extend the result to every separated net in R2$\mathbb {R}^2$ instead of Z2$\mathbb {Z}
Michael Dymond, Vojtěch Kaluža
wiley +1 more source
Electronic transport properties of quasicrystals: a Review
, 1997 We present a review of some results concerning electronic transport properties of quasicrystals. After a short introduction to the basic concepts of quasiperiodicity, we consider the experimental transport properties of electrical conductivity with ...
Burkov S. E. +8 more
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Quasicrystals in a monodisperse system [PDF]
Physical Review E, 1999 We investigate the formation of a two-dimensional quasicrystal in a monodisperse system, using molecular dynamics simulations of hard sphere particles interacting via a two-dimensional square-well potential. We find that more than one stable crystalline phase can form for certain values of the square-well parameters.
Skibinsky A +4 more
openaire +3 more sources
Metallic-mean quasicrystals as aperiodic approximants of periodic crystals
Nature Communications, 2019 Quasicrystals differ from traditional incommensurate structures because they have non-crystallographic rotational symmetries. Here the authors introduce a scheme to produce metallic-mean quasicrystals in two dimensions with 6-fold rotational symmetry ...
Joichiro Nakakura +3 more
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Twists and Turns of Liquid Crystals Unravelled by Small‐Angle Scattering
Small Methods, Volume 10, Issue 3, 9 February 2026.X‐ray scattering provides valuable insights into material structure and self‐assembly. This review discusses the use of small‐ and wide‐angle X‐ray scattering (SWAXS) as well as grazing incident SWAXS for examining self‐assembled systems, especially liquid crystals.
Jessie Wong +2 more
wiley +1 more source
Strongly localized modes in one-dimensional defect-free magnonic quasicrystals
AIP Advances, 2014 Signal storage in magnonic quasicrystals using a slow spin-wave mode, rather than the quasinormal mode of traditional periodic magnonic crystals, is proposed, which is analogous to the slow light mode in the field of optics.
C. H. Chen +3 more
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Repetitive Delone Sets and Quasicrystals
, 2003 This paper considers the problem of characterizing the simplest discrete point sets that are aperiodic, using invariants based on topological dynamics.
Lagarias, Jeffery C. +1 more
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Topological Polar Textures in van der Waals Moiré Superlattices
Small Structures, Volume 7, Issue 2, February 2026.Moiré superlattices allow the realization of several novel properties, including the formation of complex topological polarization textures in ultrathin samples consisting of layered 2D materials. This review highlights the rapid progress in this emerging field, both through theory and experiment, discusses the field's potential implications, and draws
Joshua Edwards +4 more
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Dodecagonal quasicrystals: Construction of 2D lattices and demonstrations using laser pointers
Macedonian Journal of Chemistry and Chemical Engineering, 2022 Photographic slides of an aperiodic dodecagonal tiling were used as two-dimensional diffraction gratings to describe and demonstrate the basic properties of dodecagonal quasicrystals. This paper complements our earlier publication on Penrose (decagonal)
Vladimir M. Petrushevski +1 more
doaj
Time‐Domain Near‐Field Scanning Microscopy of Terahertz Metasurfaces
Advanced Photonics Research, Volume 7, Issue 1, January 2026.Time‐domain near‐field scanning terahertz microscopy provides direct access to subwavelength electromagnetic fields on metasurfaces. By combining controlled polarization excitation with nanoscale probing, this technique enables quantitative visualization of localized hotspots, surface‐wave propagation, and wavefront manipulation, offering a powerful ...
Ruxue Wei, Soren Petersen, Weili Zhang
wiley +1 more source