A Minkowski Theorem for Quasicrystals

Author:

Guihéneuf Pierre-Antoine,Joly Émilien

Funder

IMPA/CAPES

ID0EOJAE1818

Publisher

Springer Science and Business Media LLC

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Theoretical Computer Science

Reference15 articles.

1. Berger, M.: Geometry Revealed. A Jacob’s Ladder to Modern Higher Geometry. Springer, Heidelberg (2010)

2. Cassels, J.W.S.: An Introduction to the Geometry of Numbers. Classics in Mathematics. Springer, Berlin (1997)

3. de Bruijn, N.G.: Algebraic theory of Penrose’s nonperiodic tilings of the plane. I, II. Nederl. Akad. Wetensch. Indag. Math. 43(1), 39–52, 53–66 (1981)

4. Gruber, P.M., Lekkerkerker, C.G.: Geometry of Numbers. North-Holland Mathematical Library, vol. 37, 2nd edn. North-Holland, Amsterdam (1987)

5. Guihéneuf, P.-A.: Model sets, almost periodic patterns, uniform density and linear maps. Rev. Mat. Iberoam. arXiv:1512.00650 (2015, to appear)

Cited by 2 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Degree of Recurrence of Generic Diffeomorphisms;discrete Analysis;2020-02-14

2. A note on discrete lattice-periodic sets with an application to Archimedean tilings;Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry;2019-03-26

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