Zobrazeno 1 - 10
of 14 143
pro vyhledávání: '"Periodic point"'
Autor:
McManus, Jonathan, Kurlin, Vitaliy
The fundamental model of any periodic crystal is a periodic set of points at all atomic centres. Since crystal structures are determined in a rigid form, their strongest equivalence is rigid motion (composition of translations and rotations) or isome
Externí odkaz:
http://arxiv.org/abs/2410.23288
Let $A$ be an annulus in the plane $\mathbb R^2$ and $g:A\rightarrow A$ be a boundary components preserving homeomorphism which is distal and has no periodic points. Then there is a continuous decomposition of $A$ into $g$-invariant circles such that
Externí odkaz:
http://arxiv.org/abs/2406.10674
Lattices and periodic point sets are well known objects from discrete geometry. They are also used in crystallography as one of the models of atomic structure of periodic crystals. In this paper we study the embedding properties of spaces of lattices
Externí odkaz:
http://arxiv.org/abs/2310.07594
Autor:
Malkiewich, Cary, Ponto, Kate
The bicategory of parameterized spectra has a remarkably rich structure. In particular, it is possible to take traces in this bicategory, which give classical invariants that count fixed points. We can also take equivariant traces, which give signifi
Externí odkaz:
http://arxiv.org/abs/2306.03817
Akademický článek
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Publikováno v:
SoCG 2021, 32:1-16
Modeling a crystal as a periodic point set, we present a fingerprint consisting of density functions that facilitates the efficient search for new materials and material properties. We prove invariance under isometries, continuity, and completeness i
Externí odkaz:
http://arxiv.org/abs/2104.11046
Autor:
Widdowson, Daniel, Kurlin, Vitaliy
The fundamental model of all solid crystalline materials (periodic crystals) is a periodic set of atomic centers considered up to rigid motion in Euclidean space. The major obstacle to materials discovery was highly ambiguous representations that did
Externí odkaz:
http://arxiv.org/abs/2108.04798
Publikováno v:
Filomat, 2013 Jan 01. 27(5), 881-888.
Externí odkaz:
https://www.jstor.org/stable/24896418
Akademický článek
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Autor:
Kocsard, Alejandro
Publikováno v:
Ergod. Th. Dynam. Sys. 41 (2021) 2946-2982
We provide a complete characterization of periodic point free homeomorphisms of the $2$-torus admitting irrational circle rotations as topological factors. Given a homeomorphism of the $2$-torus without periodic points and exhibiting uniformly bounde
Externí odkaz:
http://arxiv.org/abs/1908.05746