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Alexey Garber
Alexey Garber
The University of Texas Rio Grande Valley
Verified email at utrgv.edu - Homepage
Title
Cited by
Cited by
Year
On the origin of crystallinity: a lower bound for the regularity radius of Delone sets
IA Baburin, M Bouniaev, N Dolbilin, NY Erokhovets, A Garber, ...
Acta Crystallographica Section A: Foundations and Advances 74 (6), 616-629, 2018
332018
The complete classification of five-dimensional Dirichlet–Voronoi polyhedra of translational lattices
M Dutour Sikirić, A Garber, A Schürmann, C Waldmann
Acta Crystallographica Section A: Foundations and Advances 72 (6), 673-683, 2016
252016
The Voronoi Conjecture for Parallelohedra with Simply Connected -Surfaces
A Garber, A Gavrilyuk, A Magazinov
Discrete & Computational Geometry 53 (2), 245-260, 2015
162015
On the Regularity Radius of Delone Sets in
N Dolbilin, A Garber, U Leopold, E Schulte, M Senechal
Discrete & Computational Geometry 66 (3), 996-1024, 2021
142021
Pisot substitution sequences, one dimensional cut-and-project sets and bounded remainder sets with fractal boundary
D Frettlöh, A Garber
Indagationes Mathematicae 29 (4), 1114-1130, 2018
142018
On equivalence classes of separated nets
AI Garber
Modelirovanie i Analiz Informatsionnykh Sistem 16 (2), 109-118, 2009
112009
On -Surfaces of Four-Dimensional Parallelohedra
A Garber
Annals of Combinatorics 21 (4), 551-572, 2017
92017
On permutahedra
A Garber, A Poyarkov
Vestnik MGU, ser 1, 3-8, 2006
9*2006
Voronoi conjecture for five-dimensional parallelohedra
A Garber
arXiv preprint arXiv:1906.05193, 2019
82019
Graphs of difference operators for p-ary sequences
AI Garber
Functional Analysis and Other Mathematics 1, 159-173, 2006
82006
Number of bounded distance equivalence classes in hulls of repetitive Delone sets
D Frettlöh, A Garber, L Sadun
Discrete & Continuous Dynamical Systems 42 (3), 1403-1414, 2021
52021
Concrete polytopes may not tile the space
A Garber, I Pak
Mathematika 66 (4), 920-926, 2020
42020
On Helly number for crystals and cut-and-project sets
A Garber
arXiv preprint arXiv:1605.07881, 2016
42016
Substitution tilings with transcendental inflation factor
D Frettlöh, A Garber, N Mañibo
Discrete Analysis, 2022
32022
Graphs of linear operators
AI Garber
Proceedings of the Steklov Institute of Mathematics 263 (1), 57-64, 2008
32008
Brillouin zones of integer lattices and their perturbations
H Edelsbrunner, A Garber, M Ghafari, T Heiss, M Saghafian, ...
SIAM Journal on Discrete Math, 2022
22022
On the Voronoi conjecture for combinatorially Voronoi parallelohedra in Dimension 5
MD Sikiric, A Garber, A Magazinov
SIAM journal on discrete mathematics 34 (4), 2481-2501, 2020
22020
Weighted Cut-and-Project Sets in Bounded Distance to a Lattice
D Frettlöh, A Garber
Discrete & Computational Geometry 62, 649-661, 2019
22019
Symmetries of monocoronal tilings
D Frettlöh, A Garber
Discrete Mathematics & Theoretical Computer Science 17 (Combinatorics), 2015
22015
Another ham sandwich in the plane
A Balitskiy, A Garber, R Karasev
Annals of Combinatorics 19 (2), 235-242, 2015
22015
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