Edit Profile (opens in new tab) Muche, Lutz Co-Author Distance Author ID: muche.lutz Published as: Muche, Lutz; Muche, L. Documents Indexed: 14 Publications since 1992 Co-Authors: 10 Co-Authors with 8 Joint Publications 154 Co-Co-Authors all top 5 Co-Authors 6 single-authored 3 Heinrich, Lothar 1 Ballani, Felix 1 Friesenegger, Antje 1 Geupel, Markus 1 Körner, Ralf 1 Mecke, Joseph 1 Mehlhorn, N. 1 Nieminen, John M. 1 Rother, Paul 1 Stoyan, Dietrich Kurt all top 5 Serials 5 Mathematische Nachrichten 2 Advances in Applied Probability 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Journal of Applied Probability 1 Monatshefte für Mathematik 1 Statistics 1 Applicationes Mathematicae 1 Image Analysis & Stereology all top 5 Fields 13 Probability theory and stochastic processes (60-XX) 6 Convex and discrete geometry (52-XX) 4 Statistics (62-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Numerical analysis (65-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 12 Publications have been cited 60 times in 37 Documents Cited by ▼ Year ▼ Second-order properties of the point process of nodes in a stationary Voronoi tessellation. Zbl 1144.60007 Heinrich, Lothar; Muche, Lutz 12 2008 Contact and chord length distributions of the Poisson Voronoi tessellation. Zbl 0753.60019 Muche, Lutz; Stoyan, Dietrich 10 1992 The Poisson-Voronoi tessellation: relationships for edges. Zbl 1079.60020 Muche, L. 9 2005 The Poisson Voronoi tessellation. I: A basic identity. Zbl 0839.60017 Mecke, Joseph; Muche, Lutz 6 1995 The Poisson Voronoi tessellation. II: Edge length distribution functions. Zbl 0846.60011 Muche, Lutz 5 1996 Numerical and analytical computation of some second-order characteristics of spatial Poisson-Voronoi tessellations. Zbl 0912.60023 Heinrich, L.; Körner, R.; Mehlhorn, N.; Muche, L. 5 1998 The Poisson Voronoi tessellation. III: Miles’ formula. Zbl 0906.60009 Muche, Lutz 4 1998 An incomplete Voronoi tessellation. Zbl 0787.60017 Muche, L. 2 1993 Erratum: Second-order properties of the point process of nodes in a stationary Voronoi tessellation. Zbl 1202.60020 Heinrich, Lothar; Muche, Lutz 2 2010 Contact and chord length distribution functions of the Poisson-Voronoi tessellation in high dimensions. Zbl 1206.60015 Muche, L. 2 2010 Distributional properties of the three-dimensional Poisson Delaunay cell. Zbl 1081.60503 Muche, Lutz 2 1996 The second volume moment of the typical cell and higher moments of edge lengths of the spatial Poisson-Voronoi tessellation. Zbl 1226.60017 Muche, Lutz; Ballani, Felix 1 2011 The second volume moment of the typical cell and higher moments of edge lengths of the spatial Poisson-Voronoi tessellation. Zbl 1226.60017 Muche, Lutz; Ballani, Felix 1 2011 Erratum: Second-order properties of the point process of nodes in a stationary Voronoi tessellation. Zbl 1202.60020 Heinrich, Lothar; Muche, Lutz 2 2010 Contact and chord length distribution functions of the Poisson-Voronoi tessellation in high dimensions. Zbl 1206.60015 Muche, L. 2 2010 Second-order properties of the point process of nodes in a stationary Voronoi tessellation. Zbl 1144.60007 Heinrich, Lothar; Muche, Lutz 12 2008 The Poisson-Voronoi tessellation: relationships for edges. Zbl 1079.60020 Muche, L. 9 2005 Numerical and analytical computation of some second-order characteristics of spatial Poisson-Voronoi tessellations. Zbl 0912.60023 Heinrich, L.; Körner, R.; Mehlhorn, N.; Muche, L. 5 1998 The Poisson Voronoi tessellation. III: Miles’ formula. Zbl 0906.60009 Muche, Lutz 4 1998 The Poisson Voronoi tessellation. II: Edge length distribution functions. Zbl 0846.60011 Muche, Lutz 5 1996 Distributional properties of the three-dimensional Poisson Delaunay cell. Zbl 1081.60503 Muche, Lutz 2 1996 The Poisson Voronoi tessellation. I: A basic identity. Zbl 0839.60017 Mecke, Joseph; Muche, Lutz 6 1995 An incomplete Voronoi tessellation. Zbl 0787.60017 Muche, L. 2 1993 Contact and chord length distributions of the Poisson Voronoi tessellation. Zbl 0753.60019 Muche, Lutz; Stoyan, Dietrich 10 1992 all cited Publications top 5 cited Publications all top 5 Cited by 53 Authors 8 Muche, Lutz 7 Thäle, Christoph 4 Heinrich, Lothar 3 Last, Günter 3 Schmidt, Volker 3 Stoyan, Dietrich Kurt 3 Weiß, Viola 2 Baumstark, Volker 2 Chenavier, Nicolas 2 Hug, Daniel 2 Lautensack Redenbach, Claudia 2 Nagel, Werner 2 Schmidt, Hendrik 2 Schreiber, Tomasz 1 Alishahi, Kasra 1 Baccelli, François Louis 1 Ballani, Felix 1 Błaszczyszyn, Bartłomiej 1 Cali, Élie 1 Calka, Pierre 1 Chen, Linan 1 Cowan, Richard J. 1 Dettmann, Carl P. 1 Devroye, Luc P. J. A. 1 Dhillon, Harpreet Singh 1 En-Najjary, Taoufik 1 Gibbs, Isaac 1 Gusakova, Anna Grigorevna 1 Györfi, László 1 Hänggi, Martin 1 Herold, Felix 1 Hirsch, Christian 1 Hörrmann, Julia 1 Kabluchko, Zakhar A. 1 Kalamkar, Sanket S. 1 Körner, Ralf 1 Koufos, Konstantinos 1 Le Gall, Quentin 1 Lippmann, Günter 1 Lugosi, Gábor 1 Mankar, Praful D. 1 Mecke, Joseph 1 Mehlhorn, N. 1 Neuhäuser, David Werner 1 Nieminen, John M. 1 Ochsenreither, Eva 1 Parida, Priyabrata 1 Robert, Christian-Yann 1 Sharifitabar, Mohsen 1 Walk, Harro 1 Xiao, Feng 1 Yin, Xiaolong 1 Zuyev, Sergei all top 5 Cited in 17 Serials 13 Advances in Applied Probability 3 Journal of Statistical Physics 3 Journal of Applied Probability 3 Statistics 2 Mathematische Nachrichten 2 The Annals of Applied Probability 1 Computers & Mathematics with Applications 1 Journal of Mathematical Physics 1 The Annals of Probability 1 International Statistical Review 1 Monatshefte für Mathematik 1 Probability Theory and Related Fields 1 ZOR. Zeitschrift für Operations Research 1 Bernoulli 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Extremes 1 ALEA. Latin American Journal of Probability and Mathematical Statistics all top 5 Cited in 11 Fields 36 Probability theory and stochastic processes (60-XX) 13 Convex and discrete geometry (52-XX) 7 Statistics (62-XX) 4 Combinatorics (05-XX) 3 Differential geometry (53-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year