Edit Profile (opens in new tab) Hug, Daniel Co-Author Distance Author ID: hug.daniel Published as: Hug, Daniel; Hug, D. External Links: MGP Documents Indexed: 118 Publications since 1994, including 3 Books and 9 Additional arXiv Preprints 1 Further Contribution Reviewing Activity: 25 Reviews Co-Authors: 61 Co-Authors with 106 Joint Publications 910 Co-Co-Authors all top 5 Co-Authors 13 single-authored 31 Schneider, Rolf G. 19 Weil, Wolfgang 11 Last, Günter 10 Böröczky, Karoly jun. 7 Reitzner, Matthias 6 Colesanti, Andrea 5 Fodor, Ferenc 5 Gardner, Richard J. 5 Thäle, Christoph 4 Rataj, Jan 4 Weis, Jan A. 3 Hörrmann, Julia 3 Mussnig, Fabian 3 Ye, Deping 2 Bárány, Imre 2 Bernig, Andreas 2 Gómez, Eugenia Saorín 2 Goodey, Paul R. 2 Hinderer, Wolfram 2 Howard, Ralph E. 2 Kiderlen, Markus 2 Klatt, Michael Andreas 2 Mecke, Klaus R. 2 Reichert, Paul A. 2 Schatzle, Reiner 2 Schulte, Matthias 2 Schuster, Ralph 2 Ulivelli, Jacopo 2 Xing, Sudan 1 Artstein-Avidan, Shiri 1 Bartha, Ferenc Ágoston 1 Bencs, Ferenc 1 Betken, Carina 1 Bianchi, Gabriele 1 Böhlke, Thomas 1 Breidenbach, B. 1 Dolzmann, Georg 1 Ernesti, Felix 1 Gao, Fuchang 1 Gates, John 1 Göll, Tamara 1 Gronchi, Paolo 1 Herold, Felix 1 Heveling, Matthias 1 Hoffmann, Lars Michael 1 Kabluchko, Zakhar A. 1 Kapfer, Sebastian C. 1 Kousholt, Astrid 1 Ludwig, Monika 1 Lutwak, Erwin 1 Mani-Levitska, Peter 1 Mickel, W. 1 Munsonius, Götz Olaf 1 Pawlas, Zbyněk 1 Reichenbacher, Andreas 1 Santilli, Mario 1 Schaller, Fabian M. 1 Schneider, Matti 1 Schröder-Turk, Gerd E. 1 Svane, Anne Marie 1 Türk, Ines 1 Winter, Steffen 1 Yang, Deane 1 Zhang, Gaoyong 1 Ziebarth, Ines all top 5 Serials 9 Advances in Applied Probability 7 Discrete & Computational Geometry 5 Mathematika 4 Advances in Mathematics 4 Archiv der Mathematik 4 Mathematische Nachrichten 4 Transactions of the American Mathematical Society 3 Journal of Mathematical Analysis and Applications 3 The Annals of Probability 3 Journal of the London Mathematical Society. Second Series 3 Proceedings of the American Mathematical Society 3 Advances in Applied Mathematics 3 Probability Theory and Related Fields 3 Communications in Contemporary Mathematics 2 Israel Journal of Mathematics 2 Geometriae Dedicata 2 Manuscripta Mathematica 2 Mathematische Zeitschrift 2 Geometric and Functional Analysis. GAFA 2 Calculus of Variations and Partial Differential Equations 2 Advances in Geometry 1 Mathematical Methods in the Applied Sciences 1 Mathematische Semesterberichte 1 Periodica Mathematica Hungarica 1 Revue Roumaine de Mathématiques Pures et Appliquées 1 Beiträge zur Algebra und Geometrie 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Indiana University Mathematics Journal 1 Journal of Differential Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Annalen 1 Mathematicae Notae 1 Michigan Mathematical Journal 1 Results in Mathematics 1 Studia Scientiarum Mathematicarum Hungarica 1 Forum Mathematicum 1 Random Structures & Algorithms 1 The Annals of Applied Probability 1 The Journal of Geometric Analysis 1 Stochastic Processes and their Applications 1 St. Petersburg Mathematical Journal 1 Electronic Journal of Probability 1 New Journal of Physics 1 Journal of the European Mathematical Society (JEMS) 1 Graduate Texts in Mathematics 1 Lecture Notes in Mathematics all top 5 Fields 106 Convex and discrete geometry (52-XX) 48 Probability theory and stochastic processes (60-XX) 37 Differential geometry (53-XX) 13 Measure and integration (28-XX) 11 Real functions (26-XX) 7 Calculus of variations and optimal control; optimization (49-XX) 7 Statistics (62-XX) 2 General and overarching topics; collections (00-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Computer science (68-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 100 Publications have been cited 1,382 times in 747 Documents Cited by ▼ Year ▼ The Orlicz-Brunn-Minkowski theory: a general framework, additions, and inequalities. Zbl 1303.52002 Gardner, Richard J.; Hug, Daniel; Weil, Wolfgang 132 2014 On the \(L_{p}\) Minkowski problem for polytopes. Zbl 1078.52008 Hug, Daniel; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong 113 2005 The dual Orlicz-Brunn-Minkowski theory. Zbl 1320.52008 Gardner, Richard J.; Hug, Daniel; Weil, Wolfgang; Ye, Deping 63 2015 Operations between sets in geometry. Zbl 1282.52006 Gardner, Richard J.; Hug, Daniel; Weil, Wolfgang 49 2013 A local Steiner-type formula for general closed sets and applications. Zbl 1059.53061 Hug, Daniel; Last, Günter; Weil, Wolfgang 47 2004 Contributions to affine surface area. Zbl 0871.52004 Hug, Daniel 46 1996 General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski problem. I. Zbl 1404.52004 Gardner, Richard J.; Hug, Daniel; Weil, Wolfgang; Xing, Sudan; Ye, Deping 46 2019 Random polytopes. Zbl 1275.60017 Hug, Daniel 42 2013 Integral geometry of tensor valuations. Zbl 1158.52004 Hug, Daniel; Schneider, Rolf; Schuster, Ralph 40 2008 Intrinsic volumes and polar sets in spherical space. Zbl 1202.52006 Gao, Fuchang; Hug, Daniel; Schneider, Rolf 36 2003 General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski problem. II. Zbl 1430.52001 Gardner, Richard J.; Hug, Daniel; Xing, Sudan; Ye, Deping 32 2020 Asymptotic shapes of large cells in random tessellations. Zbl 1114.60012 Hug, Daniel; Schneider, Rolf 30 2007 Kinematic formulas for tensor valuations. Zbl 1501.53084 Bernig, Andreas; Hug, Daniel 28 2018 Random conical tessellations. Zbl 1353.52004 Hug, Daniel; Schneider, Rolf 26 2016 Second-order properties and central limit theorems for geometric functionals of Boolean models. Zbl 1348.60013 Hug, Daniel; Last, Günter; Schulte, Matthias 25 2016 Random points in halfspheres. Zbl 1362.52002 Bárány, Imre; Hug, Daniel; Reitzner, Matthias; Schneider, Rolf 24 2017 Local tensor valuations. Zbl 1366.52004 Hug, Daniel; Schneider, Rolf 23 2014 The limit shape of the zero cell in a stationary Poisson hyperplane tessellation. Zbl 1050.60010 Hug, Daniel; Reitzner, Matthias; Schneider, Rolf 21 2004 Curvature relations and affine surface area for a general convex body and its polar. Zbl 0861.52003 Hug, Daniel 21 1996 On support measures in Minkowski spaces and contact distributions in stochastic geometry. Zbl 1044.60006 Hug, Daniel; Last, Günter 21 2000 Poisson polyhedra in high dimensions. Zbl 1325.52005 Hörrmann, Julia; Hug, Daniel; Reitzner, Matthias; Thäle, Christoph 21 2015 The space of isometry covariant tensor valuations. Zbl 1134.52008 Hug, D.; Schneider, R.; Schuster, R. 19 2008 Gaussian polytopes: variances and limit theorems. Zbl 1089.52003 Hug, Daniel; Reitzner, Matthias 16 2005 Reverse inequalities for zonoids and their application. Zbl 1230.52021 Hug, Daniel; Schneider, Rolf 16 2011 Stability results involving surface area measures of convex bodies. Zbl 1113.52013 Hug, Daniel; Schneider, Rolf 15 2002 Hessian measures of semi-convex functions and applications to support measures of convex bodies. Zbl 0973.52003 Colesanti, Andrea; Hug, Daniel 15 2000 Asymptotic mean values of Gaussian polytopes. Zbl 1082.52003 Hug, Daniel; Munsonius, Götz Olaf; Reitzner, Matthias 15 2004 Large Poisson-Voronoi cells and Crofton cells. Zbl 1069.60010 Hug, Daniel; Reitzner, Matthias; Schneider, Rolf 15 2004 Minkowski tensors of anisotropic spatial structure. Zbl 1451.74030 Schröder-Turk, G. E.; Mickel, W.; Kapfer, S. C.; Schaller, F. M.; Breidenbach, B.; Hug, D.; Mecke, K. 14 2013 Lectures on convex geometry. Zbl 1487.52001 Hug, Daniel; Weil, Wolfgang 13 2020 Absolute continuity for curvature measures of convex sets. I. Zbl 0938.52003 Hug, Daniel 12 1998 Absolute continuity for curvature measures of convex sets. II. Zbl 0954.52006 Hug, Daniel 11 1999 Steiner type formulae and weighted measures of singularities for semi-convex functions. Zbl 1096.49021 Colesanti, Andrea; Hug, Daniel 10 2000 The mean width of random polytopes circumscribed around a convex body. Zbl 1191.52003 Böröczky, Károly jun.; Fodor, Ferenc; Hug, Daniel 10 2010 Typical cells in Poisson hyperplane tessellations. Zbl 1140.60009 Hug, Daniel; Schneider, Rolf 10 2007 On the volume of the zero cell of a class of isotropic Poisson hyperplane tessellations. Zbl 1319.60013 Hörrmann, Julia; Hug, Daniel 10 2014 Splitting tessellations in spherical spaces. Zbl 1417.52006 Hug, Daniel; Thäle, Christoph 10 2019 Equality of two representations of extended affine surface area. Zbl 0838.52010 Dolzmann, Georg; Hug, Daniel 9 1995 Expectation of intrinsic volumes of random polytopes. Zbl 1265.52004 Böröczky, Károly jun.; Hoffmann, Lars Michael; Hug, Daniel 9 2008 Stability of the reverse Blaschke-Santaló inequality for zonoids and applications. Zbl 1191.52002 Böröczky, Károly jun.; Hug, Daniel 9 2010 Does polynomial parallel volume imply convexity? Zbl 1048.52003 Heveling, Matthias; Hug, Daniel; Last, Günter 9 2004 Minkowski tensor density formulas for Boolean models. Zbl 1308.60019 Hörrmann, Julia; Hug, Daniel; Klatt, Michael Andreas; Mecke, Klaus 9 2014 Flag measures for convex bodies. Zbl 1277.52003 Hug, Daniel; Türk, Ines; Weil, Wolfgang 9 2013 Generalized curvature measures and singularities of sets with positive reach. Zbl 0938.52004 Hug, Daniel 8 1998 Polynomial parallel volume, convexity and contact distributions of random sets. Zbl 1099.60011 Hug, Daniel; Last, Günter; Weil, Wolfgang 8 2006 Extensions of translation invariant valuations on polytopes. Zbl 1315.52010 Hinderer, Wolfram; Hug, Daniel; Weil, Wolfgang 8 2015 Generalized contact distributions of inhomogeneous Boolean models. Zbl 1008.60024 Hug, Daniel; Last, Günter; Weil, Wolfgang 8 2002 Does a central limit theorem hold for the \(k\)-skeleton of Poisson hyperplanes in hyperbolic space? Zbl 1478.60042 Herold, Felix; Hug, Daniel; Thäle, Christoph 8 2021 Voronoi-based estimation of Minkowski tensors from finite point samples. Zbl 1370.68309 Hug, Daniel; Kiderlen, Markus; Svane, Anne Marie 7 2017 Absolute continuity for curvature measures of convex sets. III. Zbl 1030.52003 Hug, Daniel 7 2002 Another look at threshold phenomena for random cones. Zbl 1499.52006 Hug, Daniel; Schneider, Rolf 7 2021 Intrinsic volumes of random polytopes with vertices on the boundary of a convex body. Zbl 1271.52004 Böröczky, Károly jun.; Fodor, Ferenc; Hug, Daniel 7 2013 Surface tensor estimation from linear sections. Zbl 1331.52008 Kousholt, Astrid; Kiderlen, Markus; Hug, Daniel 6 2015 Large cells in Poisson-Delaunay tessellations. Zbl 1074.60009 Hug, Daniel; Schneider, Rolf 6 2004 Intersection and proximity of processes of flats. Zbl 1325.60048 Hug, Daniel; Thäle, Christoph; Weil, Wolfgang 6 2015 Integral geometry and algebraic structures for tensor valuations. Zbl 1376.52021 Bernig, Andreas; Hug, Daniel 6 2017 Large faces in Poisson hyperplane mosaics. Zbl 1202.60021 Hug, Daniel; Schneider, Rolf 6 2010 Faces with given directions in anisotropic Poisson hyperplane mosaics. Zbl 1234.60013 Hug, Daniel; Schneider, Rolf 5 2011 A flag representation of projection functions. Zbl 1401.52008 Goodey, Paul; Hinderer, Wolfram; Hug, Daniel; Rataj, Jan; Weil, Wolfgang 5 2017 A characterization of some mixed volumes via the Brunn-Minkowski inequality. Zbl 1404.52003 Colesanti, Andrea; Hug, Daniel; Gómez, Eugenia Saorín 5 2014 Crofton formulae for tensor-valued curvature measures. Zbl 1375.53095 Hug, Daniel; Weis, Jan A. 5 2017 Kinematic formulas for area measures. Zbl 1376.52005 Weil, Wolfgang; Goodey, Paul; Hug, Daniel 5 2017 Isotropic measures and stronger forms of the reverse isoperimetric inequality. Zbl 1373.52011 Böröczky, Károly J.; Hug, Daniel 5 2017 Distance measurements on processes of flats. Zbl 1024.60005 Hug, Daniel; Last, Günter; Weil, Wolfgang 5 2003 A product integral representation of mixed volumes of two convex bodies. Zbl 1284.52006 Hug, Daniel; Rataj, Jan; Weil, Wolfgang 5 2013 Threshold phenomena for random cones. Zbl 1490.60032 Hug, Daniel; Schneider, Rolf 5 2022 Random mosaics. Zbl 1136.60008 Hug, Daniel 4 2007 A stability result for a volume ratio. Zbl 1139.52012 Hug, Daniel; Schneider, Rolf 4 2007 On the mean number of normals through a point in the interior of a convex body. Zbl 0835.52011 Hug, Daniel 4 1995 Intersections and translative integral formulas for boundaries of convex bodies. Zbl 0982.52007 Hug, Daniel; Schätzle, Reiner 4 2001 Hessian measures of convex functions and applications to area measures. Zbl 1073.52002 Colesanti, Andrea; Hug, Daniel 4 2005 Geometrische Masse in der affinen Konvexgeometrie. (Geometric mass in affine convex geometry). Zbl 0875.52004 Hug, Daniel 4 1994 Affine diameters of convex bodies. Zbl 1335.52006 Bárány, Imre; Hug, Daniel; Schneider, Rolf 4 2016 Approximation properties of random polytopes associated with Poisson hyperplane processes. Zbl 1319.60015 Hug, Daniel; Schneider, Rolf 4 2014 Hölder continuity for support measures of convex bodies. Zbl 1315.52003 Hug, Daniel; Schneider, Rolf 4 2015 Monotonicity and concavity of integral functionals involving area measures of convex bodies. Zbl 1371.52002 Colesanti, Andrea; Hug, Daniel; Gómez, Eugenia Saorín 4 2017 Mixed curvature measures of translative integral geometry. Zbl 1397.53088 Hug, Daniel; Rataj, Jan 4 2018 Rotation covariant local tensor valuations on convex bodies. Zbl 1373.52007 Hug, Daniel; Schneider, Rolf 3 2017 Large typical cells in Poisson-Delaunay mosaics. Zbl 1113.60016 Hug, Daniel; Schneider, Rolf 3 2005 \(SO(n)\) covariant local tensor valuations on polytopes. Zbl 1376.52024 Hug, Daniel; Schneider, Rolf 3 2017 The volume of random polytopes circumscribed around a convex body. Zbl 1336.52004 Fodor, Ferenc; Hug, Daniel; Ziebarth, Ines 3 2016 Curvature measures and soap bubbles beyond convexity. Zbl 1503.49034 Hug, Daniel; Santilli, Mario 3 2022 Crofton formulae for tensorial curvature measures: the general case. Zbl 1442.52004 Hug, Daniel; Weis, Jan A. 3 2018 Smooth convex bodies with proportional projection functions. Zbl 1126.52006 Howard, Ralph; Hug, Daniel 2 2007 Flag representations of mixed volumes and mixed functionals of convex bodies. Zbl 1383.52007 Hug, Daniel; Rataj, Jan; Weil, Wolfgang 2 2018 An inclusion-exclusion identity for normal cones of polyhedral sets. Zbl 1390.52019 Hug, Daniel; Kabluchko, Zakhar 2 2018 Nakajima’s problem for general convex bodies. Zbl 1161.52003 Hug, Daniel 2 2009 Tensor valuations and their local versions. Zbl 1369.52018 Hug, Daniel; Schneider, Rolf 2 2017 Nakajima’s problem: convex bodies of constant width and constant brightness. Zbl 1149.52003 Howard, Ralph; Hug, Daniel 2 2007 Introduction to stochastic geometry. Zbl 1528.60016 Hug, Daniel; Reitzner, Matthias 2 2016 Poisson hyperplane processes and approximation of convex bodies. Zbl 1479.60018 Hug, Daniel; Schneider, Rolf 2 2020 Kinematic formulae for tensorial curvature measures. Zbl 1406.52009 Hug, Daniel; Weis, Jan A. 2 2018 Contact distributions of Boolean models. Zbl 0978.60015 Hug, Daniel 1 2000 Valuations on convex sets of oriented hyperplanes. Zbl 1071.52006 Gates, John; Hug, Daniel; Schneider, Rolf 1 2005 Statistics for Poisson models of overlapping spheres. Zbl 1319.60014 Hug, Daniel; Last, Günter; Pawlas, Zbynok; Weil, Wolfgang 1 2014 Second order analysis of geometric functionals of Boolean models. Zbl 1373.60023 Hug, Daniel; Klatt, Michael A.; Last, Günter; Schulte, Matthias 1 2017 Integral geometry of pairs of hyperplanes or lines. Zbl 1522.52012 Hug, Daniel; Schneider, Rolf 1 2020 A reverse Minkowski-type inequality. Zbl 1447.52006 Böröczky, Károly J.; Hug, Daniel 1 2020 Strengthened inequalities for the mean width and the \(\ell\)-norm. Zbl 1477.52012 Böröczky, Károly J.; Fodor, Ferenc; Hug, Daniel 1 2021 Strengthened volume inequalities for \(L_p\) zonoids of even isotropic measures. Zbl 1404.52010 Böröczky, Károly J.; Fodor, Ferenc; Hug, Daniel 1 2019 Threshold phenomena for random cones. Zbl 1490.60032 Hug, Daniel; Schneider, Rolf 5 2022 Curvature measures and soap bubbles beyond convexity. Zbl 1503.49034 Hug, Daniel; Santilli, Mario 3 2022 Does a central limit theorem hold for the \(k\)-skeleton of Poisson hyperplanes in hyperbolic space? Zbl 1478.60042 Herold, Felix; Hug, Daniel; Thäle, Christoph 8 2021 Another look at threshold phenomena for random cones. Zbl 1499.52006 Hug, Daniel; Schneider, Rolf 7 2021 Strengthened inequalities for the mean width and the \(\ell\)-norm. Zbl 1477.52012 Böröczky, Károly J.; Fodor, Ferenc; Hug, Daniel 1 2021 General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski problem. II. Zbl 1430.52001 Gardner, Richard J.; Hug, Daniel; Xing, Sudan; Ye, Deping 32 2020 Lectures on convex geometry. Zbl 1487.52001 Hug, Daniel; Weil, Wolfgang 13 2020 Poisson hyperplane processes and approximation of convex bodies. Zbl 1479.60018 Hug, Daniel; Schneider, Rolf 2 2020 Integral geometry of pairs of hyperplanes or lines. Zbl 1522.52012 Hug, Daniel; Schneider, Rolf 1 2020 A reverse Minkowski-type inequality. Zbl 1447.52006 Böröczky, Károly J.; Hug, Daniel 1 2020 General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski problem. I. Zbl 1404.52004 Gardner, Richard J.; Hug, Daniel; Weil, Wolfgang; Xing, Sudan; Ye, Deping 46 2019 Splitting tessellations in spherical spaces. Zbl 1417.52006 Hug, Daniel; Thäle, Christoph 10 2019 Strengthened volume inequalities for \(L_p\) zonoids of even isotropic measures. Zbl 1404.52010 Böröczky, Károly J.; Fodor, Ferenc; Hug, Daniel 1 2019 Kinematic formulas for tensor valuations. Zbl 1501.53084 Bernig, Andreas; Hug, Daniel 28 2018 Mixed curvature measures of translative integral geometry. Zbl 1397.53088 Hug, Daniel; Rataj, Jan 4 2018 Crofton formulae for tensorial curvature measures: the general case. Zbl 1442.52004 Hug, Daniel; Weis, Jan A. 3 2018 Flag representations of mixed volumes and mixed functionals of convex bodies. Zbl 1383.52007 Hug, Daniel; Rataj, Jan; Weil, Wolfgang 2 2018 An inclusion-exclusion identity for normal cones of polyhedral sets. Zbl 1390.52019 Hug, Daniel; Kabluchko, Zakhar 2 2018 Kinematic formulae for tensorial curvature measures. Zbl 1406.52009 Hug, Daniel; Weis, Jan A. 2 2018 Random points in halfspheres. Zbl 1362.52002 Bárány, Imre; Hug, Daniel; Reitzner, Matthias; Schneider, Rolf 24 2017 Voronoi-based estimation of Minkowski tensors from finite point samples. Zbl 1370.68309 Hug, Daniel; Kiderlen, Markus; Svane, Anne Marie 7 2017 Integral geometry and algebraic structures for tensor valuations. Zbl 1376.52021 Bernig, Andreas; Hug, Daniel 6 2017 A flag representation of projection functions. Zbl 1401.52008 Goodey, Paul; Hinderer, Wolfram; Hug, Daniel; Rataj, Jan; Weil, Wolfgang 5 2017 Crofton formulae for tensor-valued curvature measures. Zbl 1375.53095 Hug, Daniel; Weis, Jan A. 5 2017 Kinematic formulas for area measures. Zbl 1376.52005 Weil, Wolfgang; Goodey, Paul; Hug, Daniel 5 2017 Isotropic measures and stronger forms of the reverse isoperimetric inequality. Zbl 1373.52011 Böröczky, Károly J.; Hug, Daniel 5 2017 Monotonicity and concavity of integral functionals involving area measures of convex bodies. Zbl 1371.52002 Colesanti, Andrea; Hug, Daniel; Gómez, Eugenia Saorín 4 2017 Rotation covariant local tensor valuations on convex bodies. Zbl 1373.52007 Hug, Daniel; Schneider, Rolf 3 2017 \(SO(n)\) covariant local tensor valuations on polytopes. Zbl 1376.52024 Hug, Daniel; Schneider, Rolf 3 2017 Tensor valuations and their local versions. Zbl 1369.52018 Hug, Daniel; Schneider, Rolf 2 2017 Second order analysis of geometric functionals of Boolean models. Zbl 1373.60023 Hug, Daniel; Klatt, Michael A.; Last, Günter; Schulte, Matthias 1 2017 Random conical tessellations. Zbl 1353.52004 Hug, Daniel; Schneider, Rolf 26 2016 Second-order properties and central limit theorems for geometric functionals of Boolean models. Zbl 1348.60013 Hug, Daniel; Last, Günter; Schulte, Matthias 25 2016 Affine diameters of convex bodies. Zbl 1335.52006 Bárány, Imre; Hug, Daniel; Schneider, Rolf 4 2016 The volume of random polytopes circumscribed around a convex body. Zbl 1336.52004 Fodor, Ferenc; Hug, Daniel; Ziebarth, Ines 3 2016 Introduction to stochastic geometry. Zbl 1528.60016 Hug, Daniel; Reitzner, Matthias 2 2016 The dual Orlicz-Brunn-Minkowski theory. Zbl 1320.52008 Gardner, Richard J.; Hug, Daniel; Weil, Wolfgang; Ye, Deping 63 2015 Poisson polyhedra in high dimensions. Zbl 1325.52005 Hörrmann, Julia; Hug, Daniel; Reitzner, Matthias; Thäle, Christoph 21 2015 Extensions of translation invariant valuations on polytopes. Zbl 1315.52010 Hinderer, Wolfram; Hug, Daniel; Weil, Wolfgang 8 2015 Surface tensor estimation from linear sections. Zbl 1331.52008 Kousholt, Astrid; Kiderlen, Markus; Hug, Daniel 6 2015 Intersection and proximity of processes of flats. Zbl 1325.60048 Hug, Daniel; Thäle, Christoph; Weil, Wolfgang 6 2015 Hölder continuity for support measures of convex bodies. Zbl 1315.52003 Hug, Daniel; Schneider, Rolf 4 2015 The Orlicz-Brunn-Minkowski theory: a general framework, additions, and inequalities. Zbl 1303.52002 Gardner, Richard J.; Hug, Daniel; Weil, Wolfgang 132 2014 Local tensor valuations. Zbl 1366.52004 Hug, Daniel; Schneider, Rolf 23 2014 On the volume of the zero cell of a class of isotropic Poisson hyperplane tessellations. Zbl 1319.60013 Hörrmann, Julia; Hug, Daniel 10 2014 Minkowski tensor density formulas for Boolean models. Zbl 1308.60019 Hörrmann, Julia; Hug, Daniel; Klatt, Michael Andreas; Mecke, Klaus 9 2014 A characterization of some mixed volumes via the Brunn-Minkowski inequality. Zbl 1404.52003 Colesanti, Andrea; Hug, Daniel; Gómez, Eugenia Saorín 5 2014 Approximation properties of random polytopes associated with Poisson hyperplane processes. Zbl 1319.60015 Hug, Daniel; Schneider, Rolf 4 2014 Statistics for Poisson models of overlapping spheres. Zbl 1319.60014 Hug, Daniel; Last, Günter; Pawlas, Zbynok; Weil, Wolfgang 1 2014 Operations between sets in geometry. Zbl 1282.52006 Gardner, Richard J.; Hug, Daniel; Weil, Wolfgang 49 2013 Random polytopes. Zbl 1275.60017 Hug, Daniel 42 2013 Minkowski tensors of anisotropic spatial structure. Zbl 1451.74030 Schröder-Turk, G. E.; Mickel, W.; Kapfer, S. C.; Schaller, F. M.; Breidenbach, B.; Hug, D.; Mecke, K. 14 2013 Flag measures for convex bodies. Zbl 1277.52003 Hug, Daniel; Türk, Ines; Weil, Wolfgang 9 2013 Intrinsic volumes of random polytopes with vertices on the boundary of a convex body. Zbl 1271.52004 Böröczky, Károly jun.; Fodor, Ferenc; Hug, Daniel 7 2013 A product integral representation of mixed volumes of two convex bodies. Zbl 1284.52006 Hug, Daniel; Rataj, Jan; Weil, Wolfgang 5 2013 Reverse inequalities for zonoids and their application. Zbl 1230.52021 Hug, Daniel; Schneider, Rolf 16 2011 Faces with given directions in anisotropic Poisson hyperplane mosaics. Zbl 1234.60013 Hug, Daniel; Schneider, Rolf 5 2011 The mean width of random polytopes circumscribed around a convex body. Zbl 1191.52003 Böröczky, Károly jun.; Fodor, Ferenc; Hug, Daniel 10 2010 Stability of the reverse Blaschke-Santaló inequality for zonoids and applications. Zbl 1191.52002 Böröczky, Károly jun.; Hug, Daniel 9 2010 Large faces in Poisson hyperplane mosaics. Zbl 1202.60021 Hug, Daniel; Schneider, Rolf 6 2010 Nakajima’s problem for general convex bodies. Zbl 1161.52003 Hug, Daniel 2 2009 Integral geometry of tensor valuations. Zbl 1158.52004 Hug, Daniel; Schneider, Rolf; Schuster, Ralph 40 2008 The space of isometry covariant tensor valuations. Zbl 1134.52008 Hug, D.; Schneider, R.; Schuster, R. 19 2008 Expectation of intrinsic volumes of random polytopes. Zbl 1265.52004 Böröczky, Károly jun.; Hoffmann, Lars Michael; Hug, Daniel 9 2008 Asymptotic shapes of large cells in random tessellations. Zbl 1114.60012 Hug, Daniel; Schneider, Rolf 30 2007 Typical cells in Poisson hyperplane tessellations. Zbl 1140.60009 Hug, Daniel; Schneider, Rolf 10 2007 Random mosaics. Zbl 1136.60008 Hug, Daniel 4 2007 A stability result for a volume ratio. Zbl 1139.52012 Hug, Daniel; Schneider, Rolf 4 2007 Smooth convex bodies with proportional projection functions. Zbl 1126.52006 Howard, Ralph; Hug, Daniel 2 2007 Nakajima’s problem: convex bodies of constant width and constant brightness. Zbl 1149.52003 Howard, Ralph; Hug, Daniel 2 2007 Polynomial parallel volume, convexity and contact distributions of random sets. Zbl 1099.60011 Hug, Daniel; Last, Günter; Weil, Wolfgang 8 2006 On the \(L_{p}\) Minkowski problem for polytopes. Zbl 1078.52008 Hug, Daniel; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong 113 2005 Gaussian polytopes: variances and limit theorems. Zbl 1089.52003 Hug, Daniel; Reitzner, Matthias 16 2005 Hessian measures of convex functions and applications to area measures. Zbl 1073.52002 Colesanti, Andrea; Hug, Daniel 4 2005 Large typical cells in Poisson-Delaunay mosaics. Zbl 1113.60016 Hug, Daniel; Schneider, Rolf 3 2005 Valuations on convex sets of oriented hyperplanes. Zbl 1071.52006 Gates, John; Hug, Daniel; Schneider, Rolf 1 2005 A local Steiner-type formula for general closed sets and applications. Zbl 1059.53061 Hug, Daniel; Last, Günter; Weil, Wolfgang 47 2004 The limit shape of the zero cell in a stationary Poisson hyperplane tessellation. Zbl 1050.60010 Hug, Daniel; Reitzner, Matthias; Schneider, Rolf 21 2004 Asymptotic mean values of Gaussian polytopes. Zbl 1082.52003 Hug, Daniel; Munsonius, Götz Olaf; Reitzner, Matthias 15 2004 Large Poisson-Voronoi cells and Crofton cells. Zbl 1069.60010 Hug, Daniel; Reitzner, Matthias; Schneider, Rolf 15 2004 Does polynomial parallel volume imply convexity? Zbl 1048.52003 Heveling, Matthias; Hug, Daniel; Last, Günter 9 2004 Large cells in Poisson-Delaunay tessellations. Zbl 1074.60009 Hug, Daniel; Schneider, Rolf 6 2004 Intrinsic volumes and polar sets in spherical space. Zbl 1202.52006 Gao, Fuchang; Hug, Daniel; Schneider, Rolf 36 2003 Distance measurements on processes of flats. Zbl 1024.60005 Hug, Daniel; Last, Günter; Weil, Wolfgang 5 2003 Stability results involving surface area measures of convex bodies. Zbl 1113.52013 Hug, Daniel; Schneider, Rolf 15 2002 Generalized contact distributions of inhomogeneous Boolean models. Zbl 1008.60024 Hug, Daniel; Last, Günter; Weil, Wolfgang 8 2002 Absolute continuity for curvature measures of convex sets. III. Zbl 1030.52003 Hug, Daniel 7 2002 Intersections and translative integral formulas for boundaries of convex bodies. Zbl 0982.52007 Hug, Daniel; Schätzle, Reiner 4 2001 On support measures in Minkowski spaces and contact distributions in stochastic geometry. Zbl 1044.60006 Hug, Daniel; Last, Günter 21 2000 Hessian measures of semi-convex functions and applications to support measures of convex bodies. Zbl 0973.52003 Colesanti, Andrea; Hug, Daniel 15 2000 Steiner type formulae and weighted measures of singularities for semi-convex functions. Zbl 1096.49021 Colesanti, Andrea; Hug, Daniel 10 2000 Contact distributions of Boolean models. Zbl 0978.60015 Hug, Daniel 1 2000 Absolute continuity for curvature measures of convex sets. II. Zbl 0954.52006 Hug, Daniel 11 1999 Absolute continuity for curvature measures of convex sets. I. Zbl 0938.52003 Hug, Daniel 12 1998 Generalized curvature measures and singularities of sets with positive reach. Zbl 0938.52004 Hug, Daniel 8 1998 Contributions to affine surface area. Zbl 0871.52004 Hug, Daniel 46 1996 Curvature relations and affine surface area for a general convex body and its polar. Zbl 0861.52003 Hug, Daniel 21 1996 Equality of two representations of extended affine surface area. Zbl 0838.52010 Dolzmann, Georg; Hug, Daniel 9 1995 On the mean number of normals through a point in the interior of a convex body. Zbl 0835.52011 Hug, Daniel 4 1995 Geometrische Masse in der affinen Konvexgeometrie. (Geometric mass in affine convex geometry). Zbl 0875.52004 Hug, Daniel 4 1994 all cited Publications top 5 cited Publications all top 5 Cited by 598 Authors 66 Hug, Daniel 49 Thäle, Christoph 34 Kabluchko, Zakhar A. 25 Böröczky, Karoly jun. 24 Schneider, Rolf G. 23 Werner, Elisabeth M. 20 Reitzner, Matthias 20 Ye, Deping 20 Zhao, Changjian 17 Weil, Wolfgang 16 Kiderlen, Markus 16 Xiong, Ge 15 Colesanti, Andrea 15 Last, Günter 14 Ludwig, Monika 12 Bernig, Andreas 11 Calka, Pierre 11 Gardner, Richard J. 11 Schuster, Franz E. 10 Feng, Yibin 10 Rataj, Jan 10 Villa, Elena 10 Wang, Weidong 10 Yang, Deane 9 Godland, Thomas 9 Leng, Gangsong 9 Schulte, Matthias 9 Zhang, Gaoyong 8 Schütt, Carsten 8 Xi, Dongmeng 8 Zaporozhets, Dmitry 8 Zhou, Jiazu 8 Zhu, Baocheng 7 Besau, Florian 7 Bianchi, Gabriele 7 Grote, Julian 7 Huang, Qingzhong 7 Ivaki, Mohammad N. 7 Jin, Hailin 7 Svane, Anne Marie 7 Wang, Hejun 7 Xing, Sudan 7 Zhu, Guangxian 6 Abardia-Evéquoz, Judit 6 Bonnet, Gilles 6 Fodor, Ferenc 6 Haberl, Christoph 6 He, Binwu 6 Henk, Martin 6 Li, Aijun 6 Li, Qirui 6 Lin, Youjiang 6 Lutwak, Erwin 6 Pivovarov, Peter 6 Prochno, Joscha 6 Santilli, Mario 6 Yukich, Joseph Elliott 6 Zou, Du 5 Ballani, Felix 5 Chen, Fangwei 5 Chen, Shibing 5 Fang, Niufa 5 Gusakova, Anna Grigorevna 5 Hörrmann, Julia 5 Khmaladze, Estate V. 5 Lapidus, Michel L. 5 Livshyts, Galyna V. 5 Lu, Jian 5 Mecke, Klaus R. 5 Parapatits, Lukas 5 Saroglou, Christos 5 Solanes, Gil 5 Temesvari, Daniel 5 Tu, Qiang 5 Vedel Jensen, Eva Bjørn 5 Wu, Di 5 Xiang, Ni 5 Xiao, Jie 5 Zhang, Zengle 5 Zhao, Yiming 4 Bárány, Imre 4 Camerlenghi, Federico 4 Chen, Li 4 Cheung, Wingsum 4 Fradelizi, Matthieu 4 Gómez, Eugenia Saorín 4 Gronchi, Paolo 4 Guo, Lujun 4 Hilhorst, Hendrik Jan 4 Huang, Yong 4 Klatt, Michael Andreas 4 Liu, Lijuan 4 Liu, Weiru 4 Liu, Yannan 4 Ma, Tongyi 4 Marsiglietti, Arnaud 4 Mérigot, Quentin 4 Meyer, Mathieu 4 Mussnig, Fabian 4 O’Reilly, Eliza ...and 498 more Authors all top 5 Cited in 160 Serials 73 Advances in Mathematics 38 Advances in Applied Mathematics 27 Journal of Mathematical Analysis and Applications 26 Advances in Applied Probability 26 Journal of Functional Analysis 25 Transactions of the American Mathematical Society 25 The Journal of Geometric Analysis 22 Discrete & Computational Geometry 19 Mathematika 17 Proceedings of the American Mathematical Society 16 Calculus of Variations and Partial Differential Equations 15 Geometriae Dedicata 12 Stochastic Processes and their Applications 11 Mathematische Nachrichten 11 Probability Theory and Related Fields 10 Mathematische Annalen 10 Electronic Journal of Probability 9 Monatshefte für Mathematik 9 Communications in Contemporary Mathematics 8 The Annals of Applied Probability 8 Bernoulli 7 The Annals of Probability 7 Results in Mathematics 7 Science China. 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(English Edition) 4 Open Mathematics 3 Beiträge zur Algebra und Geometrie 3 Annals of the Institute of Statistical Mathematics 3 Canadian Journal of Mathematics 3 Journal of Geometry 3 Journal of the London Mathematical Society. Second Series 3 Quaestiones Mathematicae 3 Journal of Complexity 3 International Journal of Mathematics 3 Aequationes Mathematicae 3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 3 Journal of Mathematical Sciences (New York) 3 Journal of Convex Analysis 3 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 3 Extremes 3 Methodology and Computing in Applied Probability 3 Mediterranean Journal of Mathematics 3 Oberwolfach Reports 3 ALEA. Latin American Journal of Probability and Mathematical Statistics 3 Journal of Mathematical Inequalities 3 Electronic Journal of Statistics 3 Discrete and Continuous Dynamical Systems. Series S 3 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Bulletin of the Australian Mathematical Society 2 Journal d’Analyse Mathématique 2 Periodica Mathematica Hungarica 2 American Journal of Mathematics 2 The Annals of Statistics 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 Revista de la Unión Matemática Argentina 2 Journal of the American Mathematical Society 2 Random Structures & Algorithms 2 Differential Geometry and its Applications 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Indagationes Mathematicae. New Series 2 Experimental Mathematics 2 St. Petersburg Mathematical Journal 2 Journal of Cosmology and Astroparticle Physics 2 Journal of Nonlinear Science and Applications 2 AIMS Mathematics 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Mathematische Semesterberichte 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Automatica 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Czechoslovak Mathematical Journal 1 Duke Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Differential Geometry ...and 60 more Serials all top 5 Cited in 52 Fields 562 Convex and discrete geometry (52-XX) 242 Probability theory and stochastic processes (60-XX) 137 Differential geometry (53-XX) 62 Partial differential equations (35-XX) 58 Measure and integration (28-XX) 45 Statistics (62-XX) 41 Real functions (26-XX) 33 Functional analysis (46-XX) 31 Calculus of variations and optimal control; optimization (49-XX) 21 Geometry (51-XX) 16 Potential theory (31-XX) 13 Computer science (68-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 Combinatorics (05-XX) 11 Number theory (11-XX) 11 Information and communication theory, circuits (94-XX) 10 Numerical analysis (65-XX) 9 Global analysis, analysis on manifolds (58-XX) 8 Operations research, mathematical programming (90-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Algebraic geometry (14-XX) 6 Ordinary differential equations (34-XX) 5 Difference and functional equations (39-XX) 5 Integral transforms, operational calculus (44-XX) 5 Optics, electromagnetic theory (78-XX) 4 General and overarching topics; collections (00-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Special functions (33-XX) 4 Algebraic topology (55-XX) 3 Functions of a complex variable (30-XX) 3 Abstract harmonic analysis (43-XX) 3 Operator theory (47-XX) 3 Mechanics of deformable solids (74-XX) 3 Fluid mechanics (76-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Group theory and generalizations (20-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 General topology (54-XX) 2 Quantum theory (81-XX) 2 Relativity and gravitational theory (83-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Biology and other natural sciences (92-XX) 2 Systems theory; control (93-XX) 1 Mathematical logic and foundations (03-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Sequences, series, summability (40-XX) 1 Manifolds and cell complexes (57-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Geophysics (86-XX) 1 Mathematics education (97-XX) Citations by Year