Gezer, Fatih; Aykroyd, Robert G.; Barber, Stuart Statistical properties of Poisson-Voronoi tessellation cells in bounded regions. (English) Zbl 07493332 J. Stat. Comput. Simulation 91, No. 5, 915-933 (2021). MSC: 62-XX PDFBibTeX XMLCite \textit{F. Gezer} et al., J. Stat. Comput. Simulation 91, No. 5, 915--933 (2021; Zbl 07493332) Full Text: DOI Link
H, Piper; Harron, Robert The shapes of Galois quartic fields. (English) Zbl 1462.11097 Trans. Am. Math. Soc. 373, No. 10, 7109-7152 (2020). Reviewer: Robert W. van der Waall (Amsterdam) MSC: 11R16 11R45 11E12 11P21 11H06 15A03 52C05 PDFBibTeX XMLCite \textit{P. H} and \textit{R. Harron}, Trans. Am. Math. Soc. 373, No. 10, 7109--7152 (2020; Zbl 1462.11097) Full Text: DOI arXiv
Popov, D. A. Circle problem and the spectrum of the Laplace operator on closed 2-manifolds. (English. Russian original) Zbl 1441.11260 Russ. Math. Surv. 74, No. 5, 909-925 (2019); translation from Usp. Mat. Nauk 74, No. 5, 145-162 (2019). MSC: 11P21 35P30 58J51 PDFBibTeX XMLCite \textit{D. A. Popov}, Russ. Math. Surv. 74, No. 5, 909--925 (2019; Zbl 1441.11260); translation from Usp. Mat. Nauk 74, No. 5, 145--162 (2019) Full Text: DOI
Jia, Lirui; Cai, Tianxin; Zhai, Wenguang On the sign changes in a weighted divisor problem. (English) Zbl 1428.11172 Acta Arith. 178, No. 2, 135-152 (2017). MSC: 11N37 11P21 PDFBibTeX XMLCite \textit{L. Jia} et al., Acta Arith. 178, No. 2, 135--152 (2017; Zbl 1428.11172) Full Text: DOI arXiv
Popov, Dmitrii A. Bounds and behaviour of the quantities \(P(x)\) and \(\Delta(x)\) on short intervals. (English. Russian original) Zbl 1408.11097 Izv. Math. 80, No. 6, 1213-1230 (2016); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 6, 230-246 (2016). MSC: 11P21 11N37 PDFBibTeX XMLCite \textit{D. A. Popov}, Izv. Math. 80, No. 6, 1213--1230 (2016; Zbl 1408.11097); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 80, No. 6, 230--246 (2016) Full Text: DOI
Larsson, Lisa J.; Choksi, Rustum; Nave, Jean-Christophe Geometric self-assembly of rigid shapes: a simple Voronoi approach. (English) Zbl 1382.65054 SIAM J. Appl. Math. 76, No. 3, 1101-1125 (2016). MSC: 65D18 65K10 68U05 49M15 PDFBibTeX XMLCite \textit{L. J. Larsson} et al., SIAM J. Appl. Math. 76, No. 3, 1101--1125 (2016; Zbl 1382.65054) Full Text: DOI
Al-Shammari, A. A.; Gaffney, E. A.; Egginton, S. Modelling oxygen capillary supply to striated muscle tissues. (English) Zbl 1332.92015 Ansari, Ali R. (ed.), Advances in applied mathematics. Selected papers based on the presentations at the 1st Gulf international conference on applied mathematics 2013, GICAM ’13, Kuwait City, Kuwait, in cooperation with the Society for Industrial and Applied Mathematics, SIAM, November 19–21, 2013. Cham: Springer (ISBN 978-3-319-06922-7/hbk; 978-3-319-06923-4/ebook). Springer Proceedings in Mathematics & Statistics 87, 13-21 (2014). MSC: 92C35 92C50 PDFBibTeX XMLCite \textit{A. A. Al-Shammari} et al., Springer Proc. Math. Stat. 87, 13--21 (2014; Zbl 1332.92015) Full Text: DOI Link
Liu, Kui On the mean value of a kind of zeta functions. (English) Zbl 1364.11141 Acta Arith. 166, No. 1, 33-54 (2014). MSC: 11M41 11P21 PDFBibTeX XMLCite \textit{K. Liu}, Acta Arith. 166, No. 1, 33--54 (2014; Zbl 1364.11141) Full Text: DOI arXiv
Larsson, Lisa J.; Choksi, Rustum; Nave, Jean-Christophe An iterative algorithm for computing measures of generalized Voronoi regions. (English) Zbl 1298.65034 SIAM J. Sci. Comput. 36, No. 2, 792-827 (2014). Reviewer: Laurian Ioan Piscoran (Baia Mare) MSC: 65D18 90B20 PDFBibTeX XMLCite \textit{L. J. Larsson} et al., SIAM J. Sci. Comput. 36, No. 2, 792--827 (2014; Zbl 1298.65034) Full Text: DOI Link
Saye, Robert I.; Sethian, James A. The Voronoi implicit interface method for computing multiphase physics. (English) Zbl 1256.65082 Proc. Natl. Acad. Sci. USA 108, No. 49, 19498-19503 (2011). MSC: 65M06 76M20 74S20 PDFBibTeX XMLCite \textit{R. I. Saye} and \textit{J. A. Sethian}, Proc. Natl. Acad. Sci. USA 108, No. 49, 19498--19503 (2011; Zbl 1256.65082) Full Text: DOI
Peyré, Gabriel; Péchaud, Mickael; Keriven, Renaud; Cohen, Laurent D. Geodesic methods in computer vision and graphics. (English) Zbl 1217.65042 Found. Trends Comput. Graph. Vis. 5, No. 3-4, 197-397 (2009). MSC: 65D17 65D18 68U05 68U10 68-02 PDFBibTeX XMLCite \textit{G. Peyré} et al., Found. Trends Comput. Graph. Vis. 5, No. 3--4, 197--397 (2009; Zbl 1217.65042) Full Text: DOI Link
Kuratsubo, Shigehiko On an extension of the Voronoï-Hardy identity and multiple Fourier series. (English) Zbl 1204.42016 RIMS Kôkyûroku Bessatsu B14, 35-51 (2009). Reviewer: Elijah Liflyand (Ramat-Gan) MSC: 42B05 42B08 42B10 11L07 11P21 PDFBibTeX XMLCite \textit{S. Kuratsubo}, RIMS Kôkyûroku Bessatsu B14, 35--51 (2009; Zbl 1204.42016)
Beachkofski, Brian Comparison of descriptive statistics for multidimensional point sets. (English) Zbl 1180.65005 Monte Carlo Methods Appl. 15, No. 3, 211-228 (2009). MSC: 65C05 65C60 62F25 PDFBibTeX XMLCite \textit{B. Beachkofski}, Monte Carlo Methods Appl. 15, No. 3, 211--228 (2009; Zbl 1180.65005) Full Text: DOI
Cervone, Davide P.; Zwicker, William S. Convex decompositions. (English) Zbl 1181.52019 J. Convex Anal. 16, No. 2, 367-376 (2009). Reviewer: Vasyl Gorkaviy (Kharkov) MSC: 52B11 91B12 PDFBibTeX XMLCite \textit{D. P. Cervone} and \textit{W. S. Zwicker}, J. Convex Anal. 16, No. 2, 367--376 (2009; Zbl 1181.52019) Full Text: Link
Ricca, Federica; Scozzari, Andrea; Simeone, Bruno Weighted Voronoi region algorithms for political districting. (English) Zbl 1187.91187 Math. Comput. Modelling 48, No. 9-10, 1468-1477 (2008). MSC: 91F10 91B12 PDFBibTeX XMLCite \textit{F. Ricca} et al., Math. Comput. Modelling 48, No. 9--10, 1468--1477 (2008; Zbl 1187.91187) Full Text: DOI Link
Li, Song; Hao, Zhongxiao Reverse nearest neighbor queries using Voronoi diagrams. (Chinese. English summary) Zbl 1164.68326 J. Harbin Eng. Univ. 29, No. 3, 261-265 (2008). MSC: 68P10 68P15 68P20 68U05 PDFBibTeX XMLCite \textit{S. Li} and \textit{Z. Hao}, J. Harbin Eng. Univ. 29, No. 3, 261--265 (2008; Zbl 1164.68326)
Cáceres, Teresa; Mesa, Juan A.; Ortega, Francisco A. Locating waste pipelines to minimize their impact on marine environment. (English) Zbl 1163.90594 Eur. J. Oper. Res. 179, No. 3, 1143-1159 (2007). MSC: 90B80 PDFBibTeX XMLCite \textit{T. Cáceres} et al., Eur. J. Oper. Res. 179, No. 3, 1143--1159 (2007; Zbl 1163.90594) Full Text: DOI Link
Lord, Eric A.; Mackay, Alan L.; Ranganathan, S. New geometries for new materials. (English) Zbl 1119.52009 Cambridge: Cambridge University Press (ISBN 0-521-86104-7/pbk). x, 238 p. (2006). Reviewer: Martin Henk (Magdeburg) MSC: 52C07 52-02 52C17 52C22 52B10 52C23 74E40 PDFBibTeX XMLCite \textit{E. A. Lord} et al., New geometries for new materials. Cambridge: Cambridge University Press (2006; Zbl 1119.52009)
Fekete, S. P.; Kröller, A.; Pfisterer, D.; Fischer, S.; Buschmann, C. Neighborhood-based topology recognition in sensor networks. (English) Zbl 1104.68317 Nikoletseas, Sotiris (ed.) et al., Algorithmic aspects of wireless sensor networks. First international workshop, ALGOSENSORS 2004, Turku, Finland, July 16, 2004. Proceedings. Berlin: Springer (ISBN 3-540-22476-9/pbk). Lecture Notes in Computer Science 3121, 123-136 (2004). MSC: 68M10 PDFBibTeX XMLCite \textit{S. P. Fekete} et al., Lect. Notes Comput. Sci. 3121, 123--136 (2004; Zbl 1104.68317) Full Text: DOI
Calvo, Nestor; Idelsohn, Sergio R.; Oñate, Eugenio The extended Delaunay tessellation. (English) Zbl 1045.65016 Eng. Comput. (Bradf.) 20, No. 5-6, 583-600 (2003). MSC: 65D18 65N30 65N50 PDFBibTeX XMLCite \textit{N. Calvo} et al., Eng. Comput. (Bradf.) 20, No. 5--6, 583--600 (2003; Zbl 1045.65016) Full Text: DOI Link
Bochis, D.; Santos, Francisco On the number of facets of three-dimensional Dirichlet stereohedra. I: Groups with reflections. (English) Zbl 0987.52006 Discrete Comput. Geom. 25, No. 3, 418-444 (2001). Reviewer: Georgi Hristov Georgiev (Shumen) MSC: 52B05 52B10 51F15 20H15 PDFBibTeX XMLCite \textit{D. Bochis} and \textit{F. Santos}, Discrete Comput. Geom. 25, No. 3, 418--444 (2001; Zbl 0987.52006) Full Text: DOI
Li, Qinghua; Georghiades, Costas N. On a geometric view of multiuser detection for synchronous DS/CDMA channels. (English) Zbl 1002.94513 IEEE Trans. Inf. Theory 46, No. 7, 2723-2731 (2000). MSC: 94A13 94A40 PDFBibTeX XMLCite \textit{Q. Li} and \textit{C. N. Georghiades}, IEEE Trans. Inf. Theory 46, No. 7, 2723--2731 (2000; Zbl 1002.94513) Full Text: DOI
Komiya, Toru; Mori, Masao Local solutions of surveillance routing problem by partitioning the objective ships. (Japanese. English summary) Zbl 1029.90500 J. Oper. Res. Soc. Japan 42, No. 3, 352-367 (1999). MSC: 90B06 90C35 90C59 PDFBibTeX XMLCite \textit{T. Komiya} and \textit{M. Mori}, J. Oper. Res. Soc. Japan 42, No. 3, 352--367 (1999; Zbl 1029.90500) Full Text: DOI
Lember, J.; Pärna, K. Strong consistency of \(K\)-centres in reflexive spaces. (English) Zbl 1010.62057 Grigelionis, B. (ed.) et al., Probability theory and mathematical statistics. Proceedings of the 7th international Vilnius conference, Vilnius, Lithuania, August, 12-18, 1998. Vilnius: TEV. 441-452 (1999). Reviewer: Nijole Kalinauskaitė (Vilnius) MSC: 62H99 60F99 62H05 PDFBibTeX XMLCite \textit{J. Lember} and \textit{K. Pärna}, in: Probability theory and mathematical statistics. Proceedings of the 7th international Vilnius conference, Vilnius, Lithuania, August, 12--18, 1998. Vilnius: TEV; Utrecht: VSP. 441--452 (1999; Zbl 1010.62057)
Renka, Robert J. Remark on algorithm 751. (English) Zbl 0963.65025 ACM Trans. Math. Softw. 25, No. 1, 97-98 (1999). MSC: 65D18 65D05 65Y15 PDFBibTeX XMLCite \textit{R. J. Renka}, ACM Trans. Math. Softw. 25, No. 1, 97--98 (1999; Zbl 0963.65025) Full Text: DOI
Lee, Kyunghoon; Moorthy, Suresh; Ghosh, Somnath Multiple scale computational model for damage in composite materials. (English) Zbl 0972.74063 Comput. Methods Appl. Mech. Eng. 172, No. 1-4, 175-201 (1999). MSC: 74R99 74E30 74S05 PDFBibTeX XMLCite \textit{K. Lee} et al., Comput. Methods Appl. Mech. Eng. 172, No. 1--4, 175--201 (1999; Zbl 0972.74063) Full Text: DOI
Huxley, Martin N. The influence of G. Voronoï on analytic number theory. (English) Zbl 0948.11002 Engel, P. (ed.) et al., Voronoï’s impact on modern science. Book I. Transl. from the Ukrainian. Kyiv: Institute of Mathematics. Proc. Inst. Math. Natl. Acad. Sci. Ukr., Math. Appl. 21(1), 108-116 (1998). Reviewer: Matti Jutila (Turku) MSC: 11-03 01A60 11N37 11P21 PDFBibTeX XMLCite \textit{M. N. Huxley}, in: Voronoï's impact on modern science. Book I. Translated from the Ukrainian. Kyiv: Institute of Mathematics. 108--116 (1998; Zbl 0948.11002)
Agrell, Erik; Eriksson, Thomas Optimization of lattices for quantization. (English) Zbl 0964.94014 IEEE Trans. Inf. Theory 44, No. 5, 1814-1828 (1998). MSC: 94A29 PDFBibTeX XMLCite \textit{E. Agrell} and \textit{T. Eriksson}, IEEE Trans. Inf. Theory 44, No. 5, 1814--1828 (1998; Zbl 0964.94014) Full Text: DOI Link
Rieger, J. H. Proximity in arrangements of algebraic sets. (English) Zbl 0939.68133 SIAM J. Comput. 29, No. 2, 433-458 (1998); corrigendum ibid. 31, No. 3, 987 (2002). MSC: 68U05 51M20 53A07 57R45 68W30 PDFBibTeX XMLCite \textit{J. H. Rieger}, SIAM J. Comput. 29, No. 2, 433--458 (1998; Zbl 0939.68133) Full Text: DOI
Heinrich, L.; Körner, R.; Mehlhorn, N.; Muche, L. Numerical and analytical computation of some second-order characteristics of spatial Poisson-Voronoi tessellations. (English) Zbl 0912.60023 Statistics 31, No. 3, 235-259 (1998). Reviewer: N.G.Gamkrelidze (Moskva) MSC: 60D05 62F12 62F25 65C99 PDFBibTeX XMLCite \textit{L. Heinrich} et al., Statistics 31, No. 3, 235--259 (1998; Zbl 0912.60023) Full Text: DOI
Tarpey, Thaddeus Self-consistent patterns for symmetric multivariate distributions. (English) Zbl 0902.62057 J. Classif. 15, No. 1, 57-79 (1998). MSC: 62H05 62H25 62G05 PDFBibTeX XMLCite \textit{T. Tarpey}, J. Classif. 15, No. 1, 57--79 (1998; Zbl 0902.62057) Full Text: DOI
Renka, Robert J. Algorithm 772: STRIPACK: Delaunay triangulation and Voronoi diagram on the surface of a sphere. (English) Zbl 0903.65111 ACM Trans. Math. Softw. 23, No. 3, 416-434 (1997). MSC: 65D18 PDFBibTeX XMLCite \textit{R. J. Renka}, ACM Trans. Math. Softw. 23, No. 3, 416--434 (1997; Zbl 0903.65111) Full Text: DOI Link
Agrell, Erik Voronoi regions for binary linear block codes. (English) Zbl 0845.94016 IEEE Trans. Inf. Theory 42, No. 1, 310-316 (1996). MSC: 94B05 94A14 52C17 PDFBibTeX XMLCite \textit{E. Agrell}, IEEE Trans. Inf. Theory 42, No. 1, 310--316 (1996; Zbl 0845.94016) Full Text: DOI Link
Plestenjak, Bor; Pisanski, Tomaž; Graovac, Ante The minimal non-fullerene Voronoi polyhedra. (English) Zbl 0846.05089 Match 33, 157-168 (1996). MSC: 05C90 52B99 68U05 PDFBibTeX XMLCite \textit{B. Plestenjak} et al., Match 33, 157--168 (1996; Zbl 0846.05089)
Melter, Robert A.; Rudeanu, Sergiu Voronoi diagrams for Boolean algebras. (English) Zbl 0799.06025 Stud. Cercet. Mat. 45, No. 5, 429-434 (1993). MSC: 06E99 06E20 06E30 68U10 PDFBibTeX XMLCite \textit{R. A. Melter} and \textit{S. Rudeanu}, Stud. Cercet. Mat. 45, No. 5, 429--434 (1993; Zbl 0799.06025)
Forney, G. David jun. Geometrically uniform codes. (English) Zbl 0734.94026 IEEE Trans. Inf. Theory 37, No. 5, 1241-1260 (1991). MSC: 94B60 94B12 PDFBibTeX XMLCite \textit{G. D. Forney jun.}, IEEE Trans. Inf. Theory 37, No. 5, 1241--1260 (1991; Zbl 0734.94026) Full Text: DOI
Calderón, C. On Voronoi’s formula and Hecke’s functional equation. (Spanish) Zbl 0736.11059 Math. Contrib. Mem. V. M. Onieva Aleixandre, 85-94 (1991). Reviewer: A.Perelli (Genova) MSC: 11P21 11M41 PDFBibTeX XMLCite \textit{C. Calderón}, in: Stability of isomorphic properties of Banach spaces with respect to the gap. . 85--94 (1991; Zbl 0736.11059)
Krätzel, Ekkehard Lattice points. (English) Zbl 0675.10031 Mathematics and its applications: East European Series, 33. Dordrecht etc.: Kluwer Academic Publishers; Berlin: VEB Deutscher Verlag der Wissenschaften. 320 p. Dfl. 198.00; $ 99.50; £58.00 (1988). Reviewer: W.G.Nowak MSC: 11P21 11-02 11N37 11L40 11P05 11D85 11N45 11P55 PDFBibTeX XMLCite \textit{E. Krätzel}, Lattice points. Dordrecht etc.: Kluwer Academic Publishers; Berlin: VEB Deutscher Verlag der Wissenschaften (1988; Zbl 0675.10031)
Weatherill, N. P. A method for generating irregular computational grids in multiply connected planar domains. (English) Zbl 0641.76057 Int. J. Numer. Methods Fluids 8, No. 2, 181-197 (1988). MSC: 76H05 76M99 PDFBibTeX XMLCite \textit{N. P. Weatherill}, Int. J. Numer. Methods Fluids 8, No. 2, 181--197 (1988; Zbl 0641.76057) Full Text: DOI
Worley, R. T. The Voronoi region of \(E\) \(*_ 7\). (English) Zbl 0639.10024 SIAM J. Discrete Math. 1, No. 1, 134-141 (1988). Reviewer: H.G.Quebbemann MSC: 11H31 52Bxx 52C17 PDFBibTeX XMLCite \textit{R. T. Worley}, SIAM J. Discrete Math. 1, No. 1, 134--141 (1988; Zbl 0639.10024) Full Text: DOI
Clarkson, Kenneth L. New applications of random sampling in computational geometry. (English) Zbl 0615.68037 Discrete Comput. Geom. 2, 195-222 (1987). Reviewer: L. A. Santaló (Buenos Aires) MSC: 68Q25 68P10 52Bxx 52A22 PDFBibTeX XMLCite \textit{K. L. Clarkson}, Discrete Comput. Geom. 2, 195--222 (1987; Zbl 0615.68037) Full Text: DOI EuDML
Prenov, B. B. An analog of the Voronoi-Hardy identity for a triangle. (Russian) Zbl 0761.11029 Mathematical analysis and algebra, Collect. Sci. Works, Tashkent, 51-58 (1986). MSC: 11H06 32A27 11P21 PDFBibTeX XMLCite \textit{B. B. Prenov}, in: Математический анализ и алгебра. Сборник научных трудов. Tashkent: Tashkentskij Gosudarstvennyj Universitet Im. V. I. Lenina. 51--58 (1986; Zbl 0761.11029)
Ajzenberg, L. A.; Kytmanov, A. M.; Prenov, B. B. Application of the multidimensional logarithmic residue to obtain analogues of the Voronoi-Hardy identity. (English. Russian original) Zbl 0608.10030 Sov. Math. 30, No. 5, 13-19 (1986); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1986, No. 5(288), 11-16 (1986). Reviewer: G.Gogishvili MSC: 11H06 11P21 32A27 11D85 PDFBibTeX XMLCite \textit{L. A. Ajzenberg} et al., Sov. Math. 30, No. 5, 13--19 (1986; Zbl 0608.10030); translation from Izv. Vyssh. Uchebn. Zaved., Mat. 1986, No. 5(288), 11--16 (1986)
Hollai, Sz. Márta Die bikonjugierten Punktsysteme. (Biconjugate point sets). (German) Zbl 0605.52006 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Math. 28(1986), 279-281 (1985). Reviewer: W.Moser MSC: 52C17 51M20 05B45 PDFBibTeX XMLCite \textit{Sz. M. Hollai}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Math. 28, 279--281 (1986; Zbl 0605.52006)
Conway, J. H.; Sloane, N. J. A. On the Voronoi regions of certain lattices. (English) Zbl 0554.10020 SIAM J. Algebraic Discrete Methods 5, 294-305 (1984). Reviewer: Ulrich Brehm (Berlin) MSC: 11H06 52C07 PDFBibTeX XMLCite \textit{J. H. Conway} and \textit{N. J. A. Sloane}, SIAM J. Algebraic Discrete Methods 5, 294--305 (1984; Zbl 0554.10020) Full Text: DOI
Venkov, A. B. Spectral theory of automorphic functions, the Selberg zeta-function, and some problems of analytic number theory and mathematical physics. (English) Zbl 0437.10012 Russ. Math. Surv. 34, No. 3, 79-153 (1979). MSC: 11F70 11F67 11F03 30F25 32N10 35P20 11P21 PDFBibTeX XMLCite \textit{A. B. Venkov}, Russ. Math. Surv. 34, No. 3, 79--153 (1979; Zbl 0437.10012) Full Text: DOI
Dixon, A. L.; Ferrar, W. L. Lattice-point summation formulae. (English) Zbl 0001.13001 Q. J. Math., Oxf. Ser. 2, 31-54 (1931). Reviewer: A. Gelfond (Moskva) MSC: 11N37 11P21 PDFBibTeX XMLCite \textit{A. L. Dixon} and \textit{W. L. Ferrar}, Q. J. Math., Oxf. Ser. 2, 31--54 (1931; Zbl 0001.13001) Full Text: DOI