Stegehuis, Clara; Weedage, Lotte Degree distributions in \(AB\) random geometric graphs. (English) Zbl 07483580 Physica A 586, Article ID 126460, 12 p. (2022). MSC: 82-XX PDF BibTeX XML Cite \textit{C. Stegehuis} and \textit{L. Weedage}, Physica A 586, Article ID 126460, 12 p. (2022; Zbl 07483580) Full Text: DOI arXiv OpenURL
Laarhoven, Thijs Approximate Voronoi cells for lattices, revisited. (English) Zbl 1470.11191 J. Math. Cryptol. 15, 60-71 (2021). Reviewer: Steven T. Dougherty (Scranton) MSC: 11H06 52B11 52C07 94A60 PDF BibTeX XML Cite \textit{T. Laarhoven}, J. Math. Cryptol. 15, 60--71 (2021; Zbl 1470.11191) Full Text: DOI arXiv OpenURL
Ducas, Léo; Laarhoven, Thijs; van Woerden, Wessel P. J. The randomized slicer for CVPP: sharper, faster, smaller, batchier. (English) Zbl 07436966 Kiayias, Aggelos (ed.) et al., Public-key cryptography – PKC 2020. 23rd IACR international conference on practice and theory of public-key cryptography, Edinburgh, UK, May 4–7, 2020. Proceedings. Part II. Cham: Springer. Lect. Notes Comput. Sci. 12111, 3-36 (2020). MSC: 68W20 05C85 05C20 PDF BibTeX XML Cite \textit{L. Ducas} et al., Lect. Notes Comput. Sci. 12111, 3--36 (2020; Zbl 07436966) Full Text: DOI Link OpenURL
Ustimenko, V. On small world non-Sunada twins and cellular Voronoi diagrams. (English) Zbl 1473.05191 Algebra Discrete Math. 30, No. 1, 118-142 (2020). MSC: 05C50 05C82 51E24 PDF BibTeX XML Cite \textit{V. Ustimenko}, Algebra Discrete Math. 30, No. 1, 118--142 (2020; Zbl 1473.05191) Full Text: DOI OpenURL
Goberna, Miguel A.; Ridolfi, Andrea B.; Vera de Serio, Virginia N. Selected applications of linear semi-infinite systems theory. (English) Zbl 1475.51012 Vietnam J. Math. 48, No. 3, 439-470 (2020). Reviewer: Martin Lukarevski (Skopje) MSC: 51M16 PDF BibTeX XML Cite \textit{M. A. Goberna} et al., Vietnam J. Math. 48, No. 3, 439--470 (2020; Zbl 1475.51012) Full Text: DOI Link OpenURL
Hunkenschröder, Christoph; Reuland, Gina; Schymura, Matthias On compact representations of Voronoi cells of lattices. (English) Zbl 1451.11061 Math. Program. 183, No. 1-2 (B), 337-358 (2020). Reviewer: Steven T. Dougherty (Scranton) MSC: 11H06 52C07 68Q25 PDF BibTeX XML Cite \textit{C. Hunkenschröder} et al., Math. Program. 183, No. 1--2 (B), 337--358 (2020; Zbl 1451.11061) Full Text: DOI arXiv OpenURL
Deville, Robert; García-Bravo, Miguel Normal tilings of a Banach space and its ball. (English) Zbl 1450.46009 Mathematika 66, No. 3, 752-764 (2020). Reviewer: Vladimir Kadets (Kharkiv) MSC: 46B20 05B45 51M20 52C22 PDF BibTeX XML Cite \textit{R. Deville} and \textit{M. García-Bravo}, Mathematika 66, No. 3, 752--764 (2020; Zbl 1450.46009) Full Text: DOI arXiv OpenURL
Gärtner, K.; Kamenski, L. Why do we need Voronoi cells and Delaunay meshes? Essential properties of the Voronoi finite volume method. (English) Zbl 1453.65251 Comput. Math. Math. Phys. 59, No. 12, 1930-1944 (2019) and Zh. Vychisl. Mat. Mat. Fiz. 59, No. 12, 2007-2023 (2019). Reviewer: Victor Michel-Dansac (Strasbourg) MSC: 65M08 65N08 65N50 65N12 PDF BibTeX XML Cite \textit{K. Gärtner} and \textit{L. Kamenski}, Comput. Math. Math. Phys. 59, No. 12, 1930--1944 (2019; Zbl 1453.65251) Full Text: DOI arXiv OpenURL
Gärtner, Klaus; Kamenski, Lennard Why do we need Voronoi cells and Delaunay meshes? (English) Zbl 1448.65127 Garanzha, Vladimir A. (ed.) et al., Numerical geometry, grid generation and scientific computing. Proceedings of the 9th international conference, NUMGRID 2018 / Voronoi 150, celebrating the 150th anniversary of G.F. Voronoi, Moscow, Russia, December 3–5, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 131, 45-60 (2019). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65M50 PDF BibTeX XML Cite \textit{K. Gärtner} and \textit{L. Kamenski}, Lect. Notes Comput. Sci. Eng. 131, 45--60 (2019; Zbl 1448.65127) Full Text: DOI OpenURL
Doulgerakis, Emmanouil; Laarhoven, Thijs; de Weger, Benne Finding closest lattice vectors using approximate Voronoi cells. (English) Zbl 1447.94033 Ding, Jintai (ed.) et al., Post-quantum cryptography. 10th international conference, PQCrypto 2019, Chongqing, China, May 8–10, 2019. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 11505, 3-22 (2019). MSC: 94A60 68R05 68W30 PDF BibTeX XML Cite \textit{E. Doulgerakis} et al., Lect. Notes Comput. Sci. 11505, 3--22 (2019; Zbl 1447.94033) Full Text: DOI OpenURL
Hunkenschröder, Christoph; Reuland, Gina; Schymura, Matthias On compact representations of Voronoi cells of lattices. (English) Zbl 1436.90085 Lodi, Andrea (ed.) et al., Integer programming and combinatorial optimization. 20th international conference, IPCO 2019, Ann Arbor, MI, USA, May 22–24, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11480, 261-274 (2019). MSC: 90C10 PDF BibTeX XML Cite \textit{C. Hunkenschröder} et al., Lect. Notes Comput. Sci. 11480, 261--274 (2019; Zbl 1436.90085) Full Text: DOI arXiv OpenURL
Goberna, M. A.; Martínez-Legaz, J. E.; Todorov, M. I. On farthest Voronoi cells. (English) Zbl 1429.51008 Linear Algebra Appl. 583, 306-322 (2019). MSC: 51M20 52C22 PDF BibTeX XML Cite \textit{M. A. Goberna} et al., Linear Algebra Appl. 583, 306--322 (2019; Zbl 1429.51008) Full Text: DOI Link OpenURL
Koufos, Konstantinos; Dettmann, Carl P. Distribution of cell area in bounded Poisson Voronoi tessellations with application to secure local connectivity. (English) Zbl 1480.60022 J. Stat. Phys. 176, No. 5, 1296-1315 (2019). MSC: 60D05 60G55 PDF BibTeX XML Cite \textit{K. Koufos} and \textit{C. P. Dettmann}, J. Stat. Phys. 176, No. 5, 1296--1315 (2019; Zbl 1480.60022) Full Text: DOI arXiv OpenURL
Martínez-Legaz, Juan Enrique; Roshchina, Vera; Todorov, Maxim On the structure of higher order Voronoi cells. (English) Zbl 1434.52024 J. Optim. Theory Appl. 183, No. 1, 24-49 (2019). MSC: 52C22 PDF BibTeX XML Cite \textit{J. E. Martínez-Legaz} et al., J. Optim. Theory Appl. 183, No. 1, 24--49 (2019; Zbl 1434.52024) Full Text: DOI arXiv Link OpenURL
Koca, Mehmet; Koca, Nazife Ozdes; Al-Siyabi, Abeer; Koc, Ramazan Explicit construction of the Voronoi and Delaunay cells of \(W(A_n)\) and \(W(D_n)\) lattices and their facets. (English) Zbl 1444.82023 Acta Crystallogr., Sect. A 74, No. 5, 499-511 (2018). MSC: 82D25 PDF BibTeX XML Cite \textit{M. Koca} et al., Acta Crystallogr., Sect. A 74, No. 5, 499--511 (2018; Zbl 1444.82023) Full Text: arXiv OpenURL
Blömer, Johannes; Kohn, Kathlén Voronoi cells of lattices with respect to arbitrary norms. (English) Zbl 1429.11117 SIAM J. Appl. Algebra Geom. 2, No. 2, 314-338 (2018). MSC: 11H06 52C05 52C07 68R05 PDF BibTeX XML Cite \textit{J. Blömer} and \textit{K. Kohn}, SIAM J. Appl. Algebra Geom. 2, No. 2, 314--338 (2018; Zbl 1429.11117) Full Text: DOI arXiv OpenURL
Grote, Julian; Thäle, Christoph Concentration and moderate deviations for Poisson polytopes and polyhedra. (English) Zbl 1429.60020 Bernoulli 24, No. 4A, 2811-2841 (2018). MSC: 60D05 60F10 PDF BibTeX XML Cite \textit{J. Grote} and \textit{C. Thäle}, Bernoulli 24, No. 4A, 2811--2841 (2018; Zbl 1429.60020) Full Text: DOI arXiv Euclid OpenURL
Koca, Mehmet; Koca, Nazife Ozdes; Al-Siyabi, Abeer \(\operatorname{SU}(5)\) grand unified theory, its polytopes and 5-fold symmetric aperiodic tiling. (English) Zbl 1383.81359 Int. J. Geom. Methods Mod. Phys. 15, No. 4, Article ID 1850056, 23 p. (2018). MSC: 81V22 20D05 52B15 52B11 51P05 20C35 PDF BibTeX XML Cite \textit{M. Koca} et al., Int. J. Geom. Methods Mod. Phys. 15, No. 4, Article ID 1850056, 23 p. (2018; Zbl 1383.81359) Full Text: DOI arXiv OpenURL
Kazakov, A. L.; Lebedev, P. D. Algorithms for constructing optimal \(n\)-networks in metric spaces. (English. Russian original) Zbl 1373.93092 Autom. Remote Control 78, No. 7, 1290-1301 (2017); translation from Avtom. Telemekh. 2017, No. 7, 141-155 (2017). MSC: 93B27 PDF BibTeX XML Cite \textit{A. L. Kazakov} and \textit{P. D. Lebedev}, Autom. Remote Control 78, No. 7, 1290--1301 (2017; Zbl 1373.93092); translation from Avtom. Telemekh. 2017, No. 7, 141--155 (2017) Full Text: DOI OpenURL
Chandrasekaran, S.; Rajagopal, A. Fast indefinite multi-point (IMP) clustering. (English) Zbl 1368.62166 Calcolo 54, No. 1, 401-421 (2017). MSC: 62H30 68T10 PDF BibTeX XML Cite \textit{S. Chandrasekaran} and \textit{A. Rajagopal}, Calcolo 54, No. 1, 401--421 (2017; Zbl 1368.62166) Full Text: DOI OpenURL
Xue, F.; Zong, C. Minkowski bisectors, Minkowski cells and lattice coverings. (English) Zbl 1392.52008 Geom. Dedicata 188, 123-139 (2017). Reviewer: Horst Martini (Chemnitz) MSC: 52B10 52C07 52C17 PDF BibTeX XML Cite \textit{F. Xue} and \textit{C. Zong}, Geom. Dedicata 188, 123--139 (2017; Zbl 1392.52008) Full Text: DOI arXiv OpenURL
Dong, Lijing; Chai, Senchun; Zhang, Baihai; Nguang, Sing Kiong; Li, Xiangshun Cooperative relay tracking strategy for multi-agent systems with assistance of Voronoi diagrams. (English) Zbl 1349.93013 J. Franklin Inst. 353, No. 17, 4422-4441 (2016). MSC: 93A14 68T42 PDF BibTeX XML Cite \textit{L. Dong} et al., J. Franklin Inst. 353, No. 17, 4422--4441 (2016; Zbl 1349.93013) Full Text: DOI OpenURL
Goberna, M. A.; Martínez-Legaz, J. E.; Vera de Serio, V. N. The Voronoi inverse mapping. (English) Zbl 1381.52028 Linear Algebra Appl. 504, 248-271 (2016). MSC: 52C22 15A39 PDF BibTeX XML Cite \textit{M. A. Goberna} et al., Linear Algebra Appl. 504, 248--271 (2016; Zbl 1381.52028) Full Text: DOI OpenURL
Todorov, Maxim I. On metric regularity of Voronoi cells. (English) Zbl 1324.51013 C. R. Acad. Bulg. Sci. 67, No. 7, 903-906 (2014). Reviewer: Angela Slavova (Sofia) MSC: 51M20 52C22 15A39 PDF BibTeX XML Cite \textit{M. I. Todorov}, C. R. Acad. Bulg. Sci. 67, No. 7, 903--906 (2014; Zbl 1324.51013) OpenURL
Denies, Jonathan; Ben Ahmed, H.; Dehez, B. Optimal design of electromagnetic devices: development of an efficient optimization tool based on smart mutation operations implemented in a genetic algorithm. (English) Zbl 1499.78014 Math. Comput. Simul. 90, 244-255 (2013). MSC: 78A55 PDF BibTeX XML Cite \textit{J. Denies} et al., Math. Comput. Simul. 90, 244--255 (2013; Zbl 1499.78014) Full Text: DOI OpenURL
Chen, Jianbing; Zhang, Shenghan Improving point selection in cubature by a new discrepancy. (English) Zbl 1285.65016 SIAM J. Sci. Comput. 35, No. 5, A2121-A2149 (2013). Reviewer: Jeremy Wade (Pittsburg) MSC: 65D32 41A55 41A63 11K38 PDF BibTeX XML Cite \textit{J. Chen} and \textit{S. Zhang}, SIAM J. Sci. Comput. 35, No. 5, A2121--A2149 (2013; Zbl 1285.65016) Full Text: DOI OpenURL
Kim, Alexandra V.; Voloshin, Vladimir P.; Medvedev, Nikolai N.; Geiger, Alfons Decomposition of a protein solution into Voronoi shells and Delaunay layers: calculation of the volumetric properties. (English) Zbl 1408.92018 Gavrilova, Marina L. (ed.) et al., Transactions on Computational Science XX. Special issue on Voronoi diagrams and their applications. Berlin: Springer. Lect. Notes Comput. Sci. 8110, 56-71 (2013). MSC: 92D20 68U05 PDF BibTeX XML Cite \textit{A. V. Kim} et al., Lect. Notes Comput. Sci. 8110, 56--71 (2013; Zbl 1408.92018) Full Text: DOI OpenURL
Bishay, P. L.; Atluri, S. N. High-performance 3D hybrid/mixed, and simple 3D Voronoi cell finite elements, for macro- & micro-mechanical modeling of solids, without using multi-field variational principles. (English) Zbl 1356.74149 CMES, Comput. Model. Eng. Sci. 84, No. 1, 41-98 (2012). MSC: 74M25 65N30 PDF BibTeX XML Cite \textit{P. L. Bishay} and \textit{S. N. Atluri}, CMES, Comput. Model. Eng. Sci. 84, No. 1, 41--98 (2012; Zbl 1356.74149) Full Text: DOI OpenURL
Goberna, Miguel A.; Vera de Serio, Virginia N. On the stability of Voronoi cells. (English) Zbl 1262.51018 Top 20, No. 2, 411-425 (2012). MSC: 51M20 49K40 15A39 PDF BibTeX XML Cite \textit{M. A. Goberna} and \textit{V. N. Vera de Serio}, Top 20, No. 2, 411--425 (2012; Zbl 1262.51018) Full Text: DOI Link OpenURL
Kopecká, Eva; Reem, Daniel; Reich, Simeon Zone diagrams in compact subsets of uniformly convex normed spaces. (English) Zbl 1256.52003 Isr. J. Math. 188, 1-23 (2012). MSC: 52A21 PDF BibTeX XML Cite \textit{E. Kopecká} et al., Isr. J. Math. 188, 1--23 (2012; Zbl 1256.52003) Full Text: DOI arXiv OpenURL
Graf, Siegfried; Luschgy, Harald; Pagès, Gilles The local quantization behavior of absolutely continuous probabilities. (English) Zbl 1260.60032 Ann. Probab. 40, No. 4, 1795-1828 (2012). Reviewer: Werner Linde (Jena) MSC: 60E99 62H30 PDF BibTeX XML Cite \textit{S. Graf} et al., Ann. Probab. 40, No. 4, 1795--1828 (2012; Zbl 1260.60032) Full Text: DOI arXiv Euclid OpenURL
Goberna, M. A.; Rodríguez, M. M. L.; Vera de Serio, Virginia N. Voronoi cells via linear inequality systems. (English) Zbl 1239.52020 Linear Algebra Appl. 436, No. 7, 2169-2186 (2012). MSC: 52C22 51M20 15A39 PDF BibTeX XML Cite \textit{M. A. Goberna} et al., Linear Algebra Appl. 436, No. 7, 2169--2186 (2012; Zbl 1239.52020) Full Text: DOI OpenURL
Miana, Pedrio J.; Romero, Natalia The history of the Kepler conjecture. (Spanish. English summary) Zbl 1209.52010 Lambán, Laureano (ed.) et al., Contribuciones científicas en honor de Mirian Andrés Gómez. Logroño: Universidad de La Rioja, Servicio de Publicaciones (ISBN 978-84-96487-50-5/hbk). 367-374 (2010). MSC: 52C17 52-03 01A99 68T15 03B35 PDF BibTeX XML Cite \textit{P. J. Miana} and \textit{N. Romero}, in: Contribuciones científicas en honor de Mirian Andrés Gómez. Logroño: Universidad de La Rioja, Servicio de Publicaciones. 367--374 (2010; Zbl 1209.52010) OpenURL
Sun, Xingping Approximation on the Voronoi cells of the \(A_d\) lattice. (English) Zbl 1206.41010 Constr. Approx. 32, No. 3, 543-567 (2010). Reviewer: Vijay Gupta (New Delhi) MSC: 41A25 41A63 PDF BibTeX XML Cite \textit{X. Sun}, Constr. Approx. 32, No. 3, 543--567 (2010; Zbl 1206.41010) Full Text: DOI OpenURL
López García, A.; Saff, E. B. Asymptotics of greedy energy points. (English) Zbl 1202.31008 Math. Comput. 79, No. 272, 2287-2316 (2010). MSC: 31E05 65D99 52A40 PDF BibTeX XML Cite \textit{A. López García} and \textit{E. B. Saff}, Math. Comput. 79, No. 272, 2287--2316 (2010; Zbl 1202.31008) Full Text: DOI arXiv OpenURL
Baldi, P.; Kerkyacharian, G.; Marinucci, D.; Picard, D. Subsampling needlet coefficients on the sphere. (English) Zbl 1200.62118 Bernoulli 15, No. 2, 438-463 (2009). MSC: 62M40 42C40 62G20 PDF BibTeX XML Cite \textit{P. Baldi} et al., Bernoulli 15, No. 2, 438--463 (2009; Zbl 1200.62118) Full Text: DOI arXiv OpenURL
Guo, Yanjun; Pan, Mao; Yan, Fei; Wang, Zhe; Tan, Changhui; Lu, Tiao Application of natural neighbor interpolation method in three-dimensional geological modeling. (Chinese. English summary) Zbl 1212.86067 J. PLA Univ. Sci. Technol., Nat. Sci. 10, No. 6, 650-655 (2009). MSC: 86A30 65D05 PDF BibTeX XML Cite \textit{Y. Guo} et al., J. PLA Univ. Sci. Technol., Nat. Sci. 10, No. 6, 650--655 (2009; Zbl 1212.86067) OpenURL
Hanniel, I.; Ramanathan, M.; Elber, G.; Kim, M.-S. Precise Voronoi cell extraction of free-form planar piecewise \(C^1\)-continuous closed rational curves. (English) Zbl 1142.65023 Int. J. Comput. Geom. Appl. 17, No. 5, 453-486 (2007). MSC: 65D18 PDF BibTeX XML Cite \textit{I. Hanniel} et al., Int. J. Comput. Geom. Appl. 17, No. 5, 453--486 (2007; Zbl 1142.65023) Full Text: DOI OpenURL
Delaplace, Arnaud; Ibrahimbegovic, Adnan Performance of time-stepping schemes for discrete models in fracture dynamic analysis. (English) Zbl 1112.74065 Int. J. Numer. Methods Eng. 65, No. 9, 1527-1544 (2006). MSC: 74S20 74R10 PDF BibTeX XML Cite \textit{A. Delaplace} and \textit{A. Ibrahimbegovic}, Int. J. Numer. Methods Eng. 65, No. 9, 1527--1544 (2006; Zbl 1112.74065) Full Text: DOI OpenURL
Bezdek, Károly Sphere packings revisited. (English) Zbl 1091.52010 Eur. J. Comb. 27, No. 6, 864-883 (2006). MSC: 52C17 PDF BibTeX XML Cite \textit{K. Bezdek}, Eur. J. Comb. 27, No. 6, 864--883 (2006; Zbl 1091.52010) Full Text: DOI OpenURL
Hales, Thomas C. A proof of the Kepler conjecture. (English) Zbl 1096.52010 Ann. Math. (2) 162, No. 3, 1065-1185 (2005). Reviewer: Horst Martini (Chemnitz) MSC: 52C17 52C15 52C35 PDF BibTeX XML Cite \textit{T. C. Hales}, Ann. Math. (2) 162, No. 3, 1065--1185 (2005; Zbl 1096.52010) Full Text: DOI OpenURL
dos Santos, N. P.; Escobar, I. P. Discrete evaluation of Stokes’s integral by means of Voronoi and Delaunay structures. (English) Zbl 1158.86332 J. Geod. 78, No. 6, 354-367 (2004). MSC: 86A30 PDF BibTeX XML Cite \textit{N. P. dos Santos} and \textit{I. P. Escobar}, J. Geod. 78, No. 6, 354--367 (2004; Zbl 1158.86332) Full Text: DOI OpenURL
Subbey, Sam; Christie, Mike; Sambridge, Malcolm The impact of uncertain centrifuge capillary pressure on reservoir simulation. (English) Zbl 1137.76512 SIAM J. Sci. Comput. 26, No. 2, 537-557 (2004). MSC: 76S05 76D45 45D05 62D05 PDF BibTeX XML Cite \textit{S. Subbey} et al., SIAM J. Sci. Comput. 26, No. 2, 537--557 (2004; Zbl 1137.76512) Full Text: DOI OpenURL
Hardin, D. P.; Saff, E. B. Discretizing manifolds via minimum energy points. (English) Zbl 1095.49031 Notices Am. Math. Soc. 51, No. 10, 1186-1194 (2004). Reviewer: Arno Kuijlaars (Leuven) MSC: 49Q15 41A63 28A75 11K36 52A40 28A78 PDF BibTeX XML Cite \textit{D. P. Hardin} and \textit{E. B. Saff}, Notices Am. Math. Soc. 51, No. 10, 1186--1194 (2004; Zbl 1095.49031) Full Text: Link Backlinks: MO OpenURL
Szirmai, Jenő Series of iteration of the Dirichlet-Voronoi decomposition. (Iterationsserien der Dirichlet-Voronoi Zerlegungen.) (German) Zbl 1066.52007 Weiß, Gunter (ed.), DSG CK 2003. Dresden Symposium Geometry: Constructive and kinematic/konstruktiv und kinematisch. Zum Gedenken an/in commemoration of Rudolf Bereis (1903–1966), Dresden, Germany, February 27–March 1, 2003. Proceedings. Dresden: Technische Universität Dresden (ISBN 3-86005-394-9/pbk). 347-355 (2003). MSC: 52A20 52A55 82D25 PDF BibTeX XML Cite \textit{J. Szirmai}, in: DSG CK 2003. Dresden Symposium Geometry: Constructive and kinematic/konstruktiv und kinematisch. Zum Gedenken an/in commemoration of Rudolf Bereis (1903--1966), Dresden, Germany, February 27--March 1, 2003. Proceedings. Dresden: Tech\-ni\-sche Universität Dresden. 347--355 (2003; Zbl 1066.52007) OpenURL
Meyer, Mark; Desbrun, Mathieu; Schröder, Peter; Barr, Alan H. Discrete differential-geometry operators for triangulated 2-manifolds. (English) Zbl 1069.53004 Hege, Hans-Christian (ed.) et al., Visualization and mathematics III. Outgrowth of the 3rd international workshop, Berlin, Germany, May 22–25, 2002. Berlin: Springer (ISBN 3-540-01295-8/hbk). 35-57, 439 (2003). MSC: 53A05 53-04 65D18 68U05 PDF BibTeX XML Cite \textit{M. Meyer} et al., in: Visualization and mathematics III. Outgrowth of the 3rd international workshop, Berlin, Germany, May 22--25, 2002. Berlin: Springer. 35--57, 439 (2003; Zbl 1069.53004) OpenURL
Sukumar, N. Voronoi cell finite difference method for the diffusion operator on arbitrary unstructured grids. (English) Zbl 1042.65079 Int. J. Numer. Methods Eng. 57, No. 1, 1-34 (2003). Reviewer: Evgenij D’yakonov (Moskva) MSC: 65N06 65N50 35J05 65D18 35J25 PDF BibTeX XML Cite \textit{N. Sukumar}, Int. J. Numer. Methods Eng. 57, No. 1, 1--34 (2003; Zbl 1042.65079) Full Text: DOI OpenURL
Ács, László; Molnár, Emil Algorithm for D-V cells and fundamental domains, \(\mathbb{E}^4\) space groups with broken translations in the icosahedral family. (English) Zbl 1009.20062 J. Geom. Graph. 6, No. 1, 1-16 (2002). MSC: 20H15 51F15 20-04 PDF BibTeX XML Cite \textit{L. Ács} and \textit{E. Molnár}, J. Geom. Graph. 6, No. 1, 1--16 (2002; Zbl 1009.20062) OpenURL
Subbey, Sam; Christie, Mike; Sambridge, Malcolm Uncertainty reduction in reservoir modeling. (English) Zbl 1035.93006 Chen, Zhangxin (ed.) et al., Fluid flow and transport in porous media: mathematical and numerical treatment. Proceedings of an AMS-IMS-SIAM joint summer research conference, Mount Holyoke College, South Hadley, MA, USA, June 17–21, 2001. Providence, RI: AMS, American Mathematical Society (ISBN 0-8218-2807-X). Contemp. Math. 295, 457-467 (2002). Reviewer: Inge Troch (Wien) MSC: 93A30 74G75 93C95 93C57 PDF BibTeX XML Cite \textit{S. Subbey} et al., Contemp. Math. 295, 457--467 (2002; Zbl 1035.93006) OpenURL
Bezdek, Károly Improving Roger’s upper bound for the density of unit ball packings via estimating the surface area of Voronoi cells from below in Euclidean \(d\)-space for all \(d\geq 8\). (English) Zbl 1013.52015 Discrete Comput. Geom. 28, No. 1, 75-106 (2002). Reviewer: Ferenc Fodor (Szentendre) MSC: 52C17 52A40 52A38 52B11 PDF BibTeX XML Cite \textit{K. Bezdek}, Discrete Comput. Geom. 28, No. 1, 75--106 (2002; Zbl 1013.52015) Full Text: DOI arXiv OpenURL
Tanemura, Masaharu Random Voronoi cells of higher dimensions. (English) Zbl 0993.68128 Vis. Math. 3, No. 3, no pag. (2001). MSC: 68U05 PDF BibTeX XML Cite \textit{M. Tanemura}, Vis. Math. 3, No. 3, html document (2001; Zbl 0993.68128) Full Text: Link OpenURL
Berteloot, François; Loeb, Jean-Jacques A geometrical characterization of Lattès’ examples in \(\mathbb{P}^k\). (Une caractérisation géométrique des exemples de Lattès de \(\mathbb{P}^k\).) (French) Zbl 0994.32026 Bull. Soc. Math. Fr. 129, No. 2, 175-188 (2001). MSC: 32U40 32H02 32H50 PDF BibTeX XML Cite \textit{F. Berteloot} and \textit{J.-J. Loeb}, Bull. Soc. Math. Fr. 129, No. 2, 175--188 (2001; Zbl 0994.32026) Full Text: DOI Link OpenURL
Bezdek, Károly On a stronger form of Roger’s lemma and the minimum surface area of Voronoi cells in unit ball packings. (English) Zbl 0944.52008 J. Reine Angew. Math. 518, 131-143 (2000). Reviewer: Serguey M.Pokas (Odessa) MSC: 52C17 PDF BibTeX XML Cite \textit{K. Bezdek}, J. Reine Angew. Math. 518, 131--143 (2000; Zbl 0944.52008) Full Text: DOI OpenURL
Gruber, Peter M. A short analytic proof of Fejes Tóth’s theorem on sums of moments. (English) Zbl 1006.52015 Aequationes Math. 58, No. 3, 291-295 (1999). MSC: 52C23 PDF BibTeX XML Cite \textit{P. M. Gruber}, Aequationes Math. 58, No. 3, 291--295 (1999; Zbl 1006.52015) Full Text: DOI OpenURL
Rush, Jason A. Cell-based methods for sampling in high-dimensional spaces. (English) Zbl 0929.92012 Truhlar, Donald G. (ed.) et al., Rational drug design. Proceedings of a workshop on Mathematical and computational issues in drug design, Minneapolis, MN, USA, April 7–11, 1997. New York, NY: Springer. IMA Vol. Math. Appl. 108, 73-79 (1999). MSC: 92C40 11H99 92-08 PDF BibTeX XML Cite \textit{J. A. Rush}, IMA Vol. Math. Appl. 108, 73--79 (1999; Zbl 0929.92012) OpenURL
Edelsbrunner, Herbert Geometry for modeling biomolecules. (English) Zbl 0951.92009 Agarwal, Pankaj K. (ed.) et al., Robotics: the algorithmic perspective. Papers form the 3rd workshop on the algorithmic foundations of robotics, WAFR 98, held in Houston, TX, USA, March 5-7, 1998. Natick, MA: A. K. Peters. 265-277 (1998). MSC: 92C40 52C15 52B99 PDF BibTeX XML Cite \textit{H. Edelsbrunner}, in: Robotics: the algorithmic perspective. Papers form the 3rd workshop on the algorithmic foundations of robotics, WAFR 98, held in Houston, TX, USA, March 5--7, 1998. Natick, MA: A. K. Peters. 265--277 (1998; Zbl 0951.92009) OpenURL
Aarts, J. M. Voronoi cells. (Dutch) Zbl 0935.00009 Summer course 1998: geometry, old and new. Amsterdam: Stichting Mathematisch Centrum, Centrum voor Wiskunde en Informatica. CWI Syllabus. 44, 59-71 (1998). Reviewer: Teun Koetsier (Amsterdam) MSC: 00A35 51-01 PDF BibTeX XML Cite \textit{J. M. Aarts}, in: Vakantiecursus 1998: meetkunde, oud en nieuw. Amsterdam: Stichting Mathematisch Centrum, Centrum voor Wiskunde en Informatica. 59--71 (1998; Zbl 0935.00009) OpenURL
Torquato, S.; Gibiansky, L. V.; Silva, M. J.; Gibson, L. J. Effective mechanical and transport properties of cellular solids. (English) Zbl 0938.74057 Int. J. Mech. Sci. 40, No. 1, 71-82 (1998). MSC: 74Q15 74E30 PDF BibTeX XML Cite \textit{S. Torquato} et al., Int. J. Mech. Sci. 40, No. 1, 71--82 (1998; Zbl 0938.74057) Full Text: DOI OpenURL
Conway, John Horton [Fung, Francis Y. C.] The sensual (quadratic) form. Assisted by Francis Y. C. Fung. (English) Zbl 0885.11002 The Carus Mathematical Monographs. 26. Washington, DC: The Mathematical Association of America. xiii, 152 p. (1997). Reviewer: M.Peters (Münster) MSC: 11-01 11Exx 11-02 11H06 PDF BibTeX XML Cite \textit{J. H. Conway}, The sensual (quadratic) form. Assisted by Francis Y. C. Fung. Washington, DC: The Mathematical Association of America (1997; Zbl 0885.11002) OpenURL
Sambridge, M.; Braun, J.; McQueen, H. Computational methods for natural neighbour interpolation in two and three dimensions. (English) Zbl 0909.65002 May, Robert L. (ed.) et al., Computational techniques and applications: CTAC 95. Proceedings of the 7th biennial conference, Swinburne Univ. of Technology, Melbourne, Australia, July 3–5 1995. Singapore: World Scientific. 685-692 (1996). MSC: 65D05 65D18 PDF BibTeX XML Cite \textit{M. Sambridge} et al., in: Computational techniques and applications: CTAC 95. Proceedings of the 7th biennial conference, Swinburne Univ. of Technology, Melbourne, Australia, July 3--5 1995. Singapore: World Scientific. 685--692 (1996; Zbl 0909.65002) OpenURL
Honda, H.; Morita, T.; Tanabe, A. Establishment of epidermal cell columns in mammalian skin: computer simulation. (English) Zbl 0900.92026 Weaire, Denis (ed.), The Kelvin problem. Foam structures of minimal surface area. London: Taylor & Francis. 141-154 (1996). MSC: 92C15 92-04 PDF BibTeX XML Cite \textit{H. Honda} et al., in: The Kelvin problem. Foam structures of minimal surface area. London: Taylor \& Francis. 141--154 (1996; Zbl 0900.92026) OpenURL
Moody, R. V.; Patera, J. Voronoi domains and dual cells in the generalized kaleidoscope with applications to root and weight lattices. (English) Zbl 0838.52019 Can. J. Math. 47, No. 3, 573-605 (1995). MSC: 52B20 52B35 PDF BibTeX XML Cite \textit{R. V. Moody} and \textit{J. Patera}, Can. J. Math. 47, No. 3, 573--605 (1995; Zbl 0838.52019) Full Text: DOI OpenURL
Edelsbrunner, H. The union of balls and its dual shape. (English) Zbl 0826.68053 Discrete Comput. Geom. 13, No. 3-4, 415-440 (1995). MSC: 68W10 68Q25 PDF BibTeX XML Cite \textit{H. Edelsbrunner}, Discrete Comput. Geom. 13, No. 3--4, 415--440 (1995; Zbl 0826.68053) Full Text: DOI EuDML OpenURL
MacPherson, Robert; McConnell, Mark Explicit reduction theory for Siegel modular threefolds. (English) Zbl 0789.11029 Invent. Math. 111, No. 3, 575-625 (1993). Reviewer: F.W.Knoeller (Marburg) MSC: 11F46 11H55 14J30 32M15 PDF BibTeX XML Cite \textit{R. MacPherson} and \textit{M. McConnell}, Invent. Math. 111, No. 3, 575--625 (1993; Zbl 0789.11029) Full Text: DOI EuDML OpenURL
Moody, R. V.; Patera, J. Voronoi and Delaunay cells of root lattices: Classification of their faces and facets by Coxeter-Dynkin diagrams. (English) Zbl 0768.52010 J. Phys. A, Math. Gen. 25, No. 19, 5089-5134 (1992). Reviewer: M.Baake (Tübingen) MSC: 52B35 82D25 52B05 51M20 17B20 PDF BibTeX XML Cite \textit{R. V. Moody} and \textit{J. Patera}, J. Phys. A, Math. Gen. 25, No. 19, 5089--5134 (1992; Zbl 0768.52010) Full Text: DOI OpenURL
Wills, J. M. Locally dense finite lattice packings of spheres. (English) Zbl 0745.52011 Period. Math. Hung. 22, No. 3, 139-146 (1991). Reviewer: P.Gruber (Wien) MSC: 52C17 52C07 52A15 52C15 PDF BibTeX XML Cite \textit{J. M. Wills}, Period. Math. Hung. 22, No. 3, 139--146 (1991; Zbl 0745.52011) Full Text: DOI OpenURL
Ostoja-Starzewski, M.; Wang, C. Linear elasticity of planar Delaunay networks. II: Voigt and Reuss bounds, and modification for centroids. (English) Zbl 0719.73047 Acta Mech. 84, No. 1-4, 47-61 (1990). MSC: 74S30 74A40 05B45 05C80 74K99 PDF BibTeX XML Cite \textit{M. Ostoja-Starzewski} and \textit{C. Wang}, Acta Mech. 84, No. 1--4, 47--61 (1990; Zbl 0719.73047) Full Text: DOI OpenURL
Baake, M.; Kramer, P.; Schlottmann, M.; Zeidler, D. Planar patterns with fivefold symmetry as sections of periodic structures in 4-space. (English) Zbl 0743.51015 Int. J. Mod. Phys. B 4, No. 15-16, 2217-2268 (1990). Reviewer: L.A.Santaló (Buenos Aires) MSC: 51P05 51M20 82D25 52C22 PDF BibTeX XML Cite \textit{M. Baake} et al., Int. J. Mod. Phys. B 4, No. 15--16, 2217--2268 (1990; Zbl 0743.51015) Full Text: DOI OpenURL
Aurenhammer, Franz; Imai, Hiroshi Geometric relations among Voronoi diagrams. (English) Zbl 0641.52004 STACS 87, Theoretical aspects of computer science, Proc. 4th annu. Symp., Passau/FRG 1987, Lect. Notes Comput. Sci. 247, 53-65 (1987). Reviewer: F.Hering MSC: 52C07 52C17 11H06 52A40 PDF BibTeX XML OpenURL
Worley, R. T. The Voronoi region of \(E^ *_ 6\). (English) Zbl 0627.10022 J. Aust. Math. Soc., Ser. A 43, 268-278 (1987). Reviewer: P.Gruber MSC: 11H31 11H06 52Bxx 52C17 PDF BibTeX XML Cite \textit{R. T. Worley}, J. Aust. Math. Soc., Ser. A 43, 268--278 (1987; Zbl 0627.10022) OpenURL
Böröczky, K. Closest packing and loosest covering. (English) Zbl 0569.52014 Diskrete Geometrie, 3. Kolloq., Salzburg 1985, 329-334 (1985). Reviewer: P.Smith MSC: 52A40 52C17 PDF BibTeX XML OpenURL
Davy, Pamela J. Probability models for liberation. (English) Zbl 0567.60011 J. Appl. Probab. 21, 260-269 (1984). Reviewer: R.Ambartzumian MSC: 60D05 PDF BibTeX XML Cite \textit{P. J. Davy}, J. Appl. Probab. 21, 260--269 (1984; Zbl 0567.60011) Full Text: DOI OpenURL