Garber, Aleksei I.; Magazinov, Aleksandr N. On Voronoi’s conjecture for four- and five-dimensional parallelohedra. (English. Russian original) Zbl 1489.52012 Russ. Math. Surv. 77, No. 1, 174-176 (2022); translation from Usp. Mat. Nauk 77, No. 1, 185-186 (2022). Reviewer: Lionel Pournin (Paris) MSC: 52B11 52C07 52C22 PDFBibTeX XMLCite \textit{A. I. Garber} and \textit{A. N. Magazinov}, Russ. Math. Surv. 77, No. 1, 174--176 (2022; Zbl 1489.52012); translation from Usp. Mat. Nauk 77, No. 1, 185--186 (2022) Full Text: DOI
Magazinov, Alexander; Peled, Ron Concentration inequalities for log-concave distributions with applications to random surface fluctuations. (English) Zbl 1486.60036 Ann. Probab. 50, No. 2, 735-770 (2022). MSC: 60E15 60K35 82C24 82B20 PDFBibTeX XMLCite \textit{A. Magazinov} and \textit{R. Peled}, Ann. Probab. 50, No. 2, 735--770 (2022; Zbl 1486.60036) Full Text: DOI arXiv Link
Alon, Noga; Briceño, Raimundo; Chandgotia, Nishant; Magazinov, Alexander; Spinka, Yinon Mixing properties of colourings of the \(\mathbb{Z}^d\) lattice. (English) Zbl 1466.05062 Comb. Probab. Comput. 30, No. 3, 360-373 (2021). MSC: 05C15 37B51 PDFBibTeX XMLCite \textit{N. Alon} et al., Comb. Probab. Comput. 30, No. 3, 360--373 (2021; Zbl 1466.05062) Full Text: DOI arXiv
Dutour Sikirić, Mathieu; Garber, Alexey; Magazinov, Alexander On the Voronoi conjecture for combinatorially Voronoi parallelohedra in dimension 5. (English) Zbl 1453.52014 SIAM J. Discrete Math. 34, No. 4, 2481-2501 (2020). MSC: 52B20 52B70 52C07 PDFBibTeX XMLCite \textit{M. Dutour Sikirić} et al., SIAM J. Discrete Math. 34, No. 4, 2481--2501 (2020; Zbl 1453.52014) Full Text: DOI arXiv
Magazinov, Alexander A proof of a conjecture by Haviv, Lyubashevsky and Regev on the second moment of a lattice Voronoi cell. (English) Zbl 1453.11091 Adv. Geom. 20, No. 1, 117-120 (2020). Reviewer: Anton Shutov (Vladimir) MSC: 11H31 PDFBibTeX XMLCite \textit{A. Magazinov}, Adv. Geom. 20, No. 1, 117--120 (2020; Zbl 1453.11091) Full Text: DOI arXiv
Blagojević, Pavle V. M.; Karasev, Roman; Magazinov, Alexander A center transversal theorem for an improved Rado depth. (English) Zbl 1401.52013 Discrete Comput. Geom. 60, No. 2, 406-419 (2018). MSC: 52A35 52C35 68U05 PDFBibTeX XMLCite \textit{P. V. M. Blagojević} et al., Discrete Comput. Geom. 60, No. 2, 406--419 (2018; Zbl 1401.52013) Full Text: DOI arXiv
Magazinov, Alexander On percolation of two-dimensional hard disks. (English) Zbl 1428.60027 Commun. Math. Phys. 364, No. 1, 1-43 (2018). MSC: 60D05 60K35 52C15 60G55 82B43 PDFBibTeX XMLCite \textit{A. Magazinov}, Commun. Math. Phys. 364, No. 1, 1--43 (2018; Zbl 1428.60027) Full Text: DOI arXiv
Magazinov, Alexander; Pór, Attila An improvement on the Rado bound for the centerline depth. (English) Zbl 1385.52019 Discrete Comput. Geom. 59, No. 2, 477-505 (2018). MSC: 52C35 52A30 68U05 PDFBibTeX XMLCite \textit{A. Magazinov} and \textit{A. Pór}, Discrete Comput. Geom. 59, No. 2, 477--505 (2018; Zbl 1385.52019) Full Text: DOI arXiv
Magazinov, Alexander; Soberón, Pablo Positive-fraction intersection results and variations of weak epsilon-nets. (English) Zbl 1456.52009 Monatsh. Math. 183, No. 1, 165-176 (2017). MSC: 52A35 52A30 52A38 PDFBibTeX XMLCite \textit{A. Magazinov} and \textit{P. Soberón}, Monatsh. Math. 183, No. 1, 165--176 (2017; Zbl 1456.52009) Full Text: DOI arXiv
Lund, B.; Magazinov, A. The sign-sequence constant of the plane. (English) Zbl 1399.52029 Acta Math. Hung. 151, No. 1, 117-123 (2017). MSC: 52C07 PDFBibTeX XMLCite \textit{B. Lund} and \textit{A. Magazinov}, Acta Math. Hung. 151, No. 1, 117--123 (2017; Zbl 1399.52029) Full Text: DOI arXiv
Magazinov, Alexander On a conjecture by Eckhoff and Dolnikov concerning line transversals to Euclidean disks. arXiv:1710.11073 Preprint, arXiv:1710.11073 [math.MG] (2017). MSC: 52C35 BibTeX Cite \textit{A. Magazinov}, ``On a conjecture by Eckhoff and Dolnikov concerning line transversals to Euclidean disks'', Preprint, arXiv:1710.11073 [math.MG] (2017) Full Text: arXiv OA License
Fruchard, Augustin; Magazinov, Alexander Fair partitioning by straight lines. (English) Zbl 1373.52003 Adiprasito, Karim (ed.) et al., Convexity and discrete geometry including graph theory. Mulhouse, France, September 1–11, 2014. Cham: Springer (ISBN 978-3-319-28184-1/hbk; 978-3-319-28186-5/ebook). Springer Proceedings in Mathematics & Statistics 148, 161-165 (2016). MSC: 52A10 52A38 51M25 51M04 PDFBibTeX XMLCite \textit{A. Fruchard} and \textit{A. Magazinov}, Springer Proc. Math. Stat. 148, 161--165 (2016; Zbl 1373.52003) Full Text: DOI arXiv
Dolbilin, N. P.; Magazinov, A. N. Uniqueness theorem for locally antipodal Delaunay sets. (English. Russian original) Zbl 1365.52020 Proc. Steklov Inst. Math. 294, 215-221 (2016); translation from Tr. Mat. Inst. Steklova 294, 230-236 (2016). Reviewer: Maria A. Hernández Cifre (Murcia) MSC: 52C07 06B75 20H15 PDFBibTeX XMLCite \textit{N. P. Dolbilin} and \textit{A. N. Magazinov}, Proc. Steklov Inst. Math. 294, 215--221 (2016; Zbl 1365.52020); translation from Tr. Mat. Inst. Steklova 294, 230--236 (2016) Full Text: DOI
Dolbilin, N. P.; Magazinov, A. N. Locally antipodal Delaunay sets. (English. Russian original) Zbl 1352.52022 Russ. Math. Surv. 70, No. 5, 958-960 (2015); translation from Usp. Mat. Nauk 70, No. 5, 179-180 (2015). Reviewer: Gabriela Cristescu (Arad) MSC: 52C07 06B75 20H15 PDFBibTeX XMLCite \textit{N. P. Dolbilin} and \textit{A. N. Magazinov}, Russ. Math. Surv. 70, No. 5, 958--960 (2015; Zbl 1352.52022); translation from Usp. Mat. Nauk 70, No. 5, 179--180 (2015) Full Text: DOI
Magazinov, Alexander Voronoi’s conjecture for extensions of Voronoi parallelohedra. (English) Zbl 1351.52012 Mosc. J. Comb. Number Theory 5, No. 3, 86-131 (2015). Reviewer: Oleg Karpenkov (Liverpool) MSC: 52B20 52B70 PDFBibTeX XMLCite \textit{A. Magazinov}, Mosc. J. Comb. Number Theory 5, No. 3, 86--131 (2015; Zbl 1351.52012) Full Text: Link
Jerónimo-Castro, Jesús; Magazinov, Alexander; Soberón, Pablo On a problem by Dol’nikov. (English) Zbl 1317.52013 Discrete Math. 338, No. 9, 1577-1585 (2015). Reviewer: Mircea Balaj (Oradea) MSC: 52A35 52A10 PDFBibTeX XMLCite \textit{J. Jerónimo-Castro} et al., Discrete Math. 338, No. 9, 1577--1585 (2015; Zbl 1317.52013) Full Text: DOI arXiv
Garber, A.; Gavrilyuk, A.; Magazinov, A. The Voronoi conjecture for parallelohedra with simply connected \(\delta\)-surfaces. (English) Zbl 1316.52019 Discrete Comput. Geom. 53, No. 2, 245-260 (2015). Reviewer: Oleg Karpenkov (Liverpool) MSC: 52B11 52B20 PDFBibTeX XMLCite \textit{A. Garber} et al., Discrete Comput. Geom. 53, No. 2, 245--260 (2015; Zbl 1316.52019) Full Text: DOI arXiv
Magazinov, Alexander On Delaunay’s classification theorem on faces of parallelohedra of codimension three. arXiv:1509.08279 Preprint, arXiv:1509.08279 [math.MG] (2015). MSC: 52B20 52B70 BibTeX Cite \textit{A. Magazinov}, ``On Delaunay's classification theorem on faces of parallelohedra of codimension three'', Preprint, arXiv:1509.08279 [math.MG] (2015) Full Text: arXiv OA License
Magazinov, A. N. Voronoi’s conjecture for extensions of Voronoi parallelohedra. (English. Russian original) Zbl 1314.52013 Russ. Math. Surv. 69, No. 4, 763-764 (2014); translation from Usp. Mat. Nauk 69, No. 4, 185-186 (2014). MSC: 52B20 52B70 PDFBibTeX XMLCite \textit{A. N. Magazinov}, Russ. Math. Surv. 69, No. 4, 763--764 (2014; Zbl 1314.52013); translation from Usp. Mat. Nauk 69, No. 4, 185--186 (2014) Full Text: DOI arXiv
Dutour Sikirić, Mathieu; Grishukhin, Viacheslav; Magazinov, Alexander On the sum of a parallelotope and a zonotope. (English) Zbl 1314.52010 Eur. J. Comb. 42, 49-73 (2014). Reviewer: Gennadiy Averkov (Magdeburg) MSC: 52B12 11H31 52B05 52B55 52C22 PDFBibTeX XMLCite \textit{M. Dutour Sikirić} et al., Eur. J. Comb. 42, 49--73 (2014; Zbl 1314.52010) Full Text: DOI
Magazinov, A.; Shnurnikov, I. On the number of hyperbolic manifolds of complexity n. arXiv:1412.8423 Preprint, arXiv:1412.8423 [math.CO] (2014). MSC: 05C90 BibTeX Cite \textit{A. Magazinov} and \textit{I. Shnurnikov}, ``On the number of hyperbolic manifolds of complexity n'', Preprint, arXiv:1412.8423 [math.CO] (2014) Full Text: arXiv OA License
Kozachok, Marina; Magazinov, Alexander Perfect prismatoids are lattice Delaunay polytopes. arXiv:1405.7954 Preprint, arXiv:1405.7954 [math.MG] (2014). MSC: 51N10 51N20 BibTeX Cite \textit{M. Kozachok} and \textit{A. Magazinov}, ``Perfect prismatoids are lattice Delaunay polytopes'', Preprint, arXiv:1405.7954 [math.MG] (2014) Full Text: arXiv OA License
Magazinov, Alexander An upper bound for a valence of a face in a parallelohedral tiling. (English) Zbl 1292.52023 Eur. J. Comb. 34, No. 7, 1108-1113 (2013). MSC: 52C22 05B45 PDFBibTeX XMLCite \textit{A. Magazinov}, Eur. J. Comb. 34, No. 7, 1108--1113 (2013; Zbl 1292.52023) Full Text: DOI arXiv
Magazinov, Alexander Asymptotics for some combinatorial characteristics of the convex hull of a Poisson point process in the Clifford torus. (English) Zbl 1270.60018 Discrete Comput. Geom. 49, No. 2, 200-220 (2013). Reviewer: Viktor Ohanyan (Erevan) MSC: 60D05 60G55 52A22 PDFBibTeX XMLCite \textit{A. Magazinov}, Discrete Comput. Geom. 49, No. 2, 200--220 (2013; Zbl 1270.60018) Full Text: DOI arXiv
Ordine, Andrei; Magazinov, Alexander A criterion of reducibility for a parallelohedron. arXiv:1305.5345 Preprint, arXiv:1305.5345 [math.MG] (2013). MSC: 52B20 BibTeX Cite \textit{A. Ordine} and \textit{A. Magazinov}, ``A criterion of reducibility for a parallelohedron'', Preprint, arXiv:1305.5345 [math.MG] (2013) Full Text: arXiv OA License
Sikiric, Mathieu Dutour; Grishukhin, Viatcheslav; Magazinov, Alexander On the sum of the Voronoi polytope of a lattice with a zonotope. arXiv:1209.4652 Preprint, arXiv:1209.4652 [math.MG] (2012). BibTeX Cite \textit{M. D. Sikiric} et al., ``On the sum of the Voronoi polytope of a lattice with a zonotope'', Preprint, arXiv:1209.4652 [math.MG] (2012) Full Text: arXiv OA License
Magazinov, A. N. The family of bi-Lipschitz classes of Delone sets in Euclidean space has the cardinality of the continuum. (English. Russian original) Zbl 1301.51015 Proc. Steklov Inst. Math. 275, 78-89 (2011); translation from Tr. Mat. Inst. Steklova 275, 87-98 (2011). Reviewer: Joonhyung Kim (Seoul) MSC: 51K05 51M05 03E17 PDFBibTeX XMLCite \textit{A. N. Magazinov}, Proc. Steklov Inst. Math. 275, 78--89 (2011; Zbl 1301.51015); translation from Tr. Mat. Inst. Steklova 275, 87--98 (2011) Full Text: DOI
Alexander, Magazinov Continuality of set of biLipschitz classes in Euclidean space. arXiv:1008.0565 Preprint, arXiv:1008.0565 [math.MG] (2010). BibTeX Cite \textit{M. Alexander}, ``Continuality of set of biLipschitz classes in Euclidean space'', Preprint, arXiv:1008.0565 [math.MG] (2010) Full Text: arXiv OA License