# zbMATH — the first resource for mathematics

## Hug, Daniel

Compute Distance To:
 Author ID: hug.daniel Published as: Hug, Daniel; Hug, D. External Links: MGP
 Documents Indexed: 99 Publications since 1994, including 3 Books Reviewing Activity: 25 Reviews
all top 5

#### Co-Authors

 13 single-authored 27 Schneider, Rolf G. 18 Weil, Wolfgang 9 Last, Günter 7 Böröczky, Karoly jun. 6 Reitzner, Matthias 5 Colesanti, Andrea 5 Gardner, Richard J. 4 Fodor, Ferenc 4 Rataj, Jan 4 Thäle, Christoph 3 Hörrmann, Julia 3 Weis, Jan A. 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 Schatzle, Reiner 2 Schulte, Matthias 2 Schuster, Ralph 2 Xing, Sudan 1 Breidenbach, B. 1 Dolzmann, Georg 1 Gao, Fuchang 1 Gates, John 1 Herold, Felix 1 Heveling, Matthias 1 Hoffmann, Lars Michael 1 Kabluchko, Zakhar A. 1 Kapfer, S. C. 1 Kousholt, Astrid 1 Lutwak, Erwin 1 Mani-Levitska, Peter 1 Mickel, W. 1 Munsonius, Götz Olaf 1 Pawlas, Zbyněk 1 Schaller, Fabian M. 1 Schröder-Turk, Gerd E. 1 Svane, Anne Marie 1 Türk, Ines 1 Yang, Deane 1 Zhang, Gaoyong 1 Ziebarth, Ines
all top 5

#### Serials

 9 Advances in Applied Probability 6 Discrete & Computational Geometry 5 Mathematika 4 Mathematische Nachrichten 4 Transactions of the American Mathematical Society 3 Journal of Mathematical Analysis and Applications 3 Advances in Mathematics 3 The Annals of Probability 3 Archiv der Mathematik 3 Proceedings of the American Mathematical Society 3 Advances in Applied Mathematics 3 Probability Theory and Related Fields 2 Israel Journal of Mathematics 2 Geometriae Dedicata 2 Journal of the London Mathematical Society. Second Series 2 Manuscripta Mathematica 2 Mathematische Zeitschrift 2 Geometric and Functional Analysis. GAFA 2 Calculus of Variations and Partial Differential Equations 2 Communications in Contemporary Mathematics 2 Advances in Geometry 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 Forum Mathematicum 1 Random Structures & Algorithms 1 The Annals of Applied Probability 1 The Journal of Geometric Analysis 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
all top 5

#### Fields

 90 Convex and discrete geometry (52-XX) 41 Probability theory and stochastic processes (60-XX) 32 Differential geometry (53-XX) 11 Measure and integration (28-XX) 6 Real functions (26-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 6 Statistics (62-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 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

87 Publications have been cited 857 times in 502 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
2014
On the $$L_{p}$$ Minkowski problem for polytopes. Zbl 1078.52008
Hug, Daniel; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong
2005
A local Steiner-type formula for general closed sets and applications. Zbl 1059.53061
Hug, Daniel; Last, Günter; Weil, Wolfgang
2004
The dual Orlicz-Brunn-Minkowski theory. Zbl 1320.52008
Gardner, Richard J.; Hug, Daniel; Weil, Wolfgang; Ye, Deping
2015
Contributions to affine surface area. Zbl 0871.52004
Hug, Daniel
1996
Operations between sets in geometry. Zbl 1282.52006
Gardner, Richard J.; Hug, Daniel; Weil, Wolfgang
2013
Integral geometry of tensor valuations. Zbl 1158.52004
Hug, Daniel; Schneider, Rolf; Schuster, Ralph
2008
Random polytopes. Zbl 1275.60017
Hug, Daniel
2013
Asymptotic shapes of large cells in random tessellations. Zbl 1114.60012
Hug, Daniel; Schneider, Rolf
2007
Intrinsic volumes and polar sets in spherical space. Zbl 1202.52006
Gao, Fuchang; Hug, Daniel; Schneider, Rolf
2003
On support measures in Minkowski spaces and contact distributions in stochastic geometry. Zbl 1044.60006
Hug, Daniel; Last, Günter
2000
Local tensor valuations. Zbl 1366.52004
Hug, Daniel; Schneider, Rolf
2014
Curvature relations and affine surface area for a general convex body and its polar. Zbl 0861.52003
Hug, Daniel
1996
Hessian measures of semi-convex functions and applications to support measures of convex bodies. Zbl 0973.52003
Colesanti, Andrea; Hug, Daniel
2000
Stability results involving surface area measures of convex bodies. Zbl 1113.52013
Hug, Daniel; Schneider, Rolf
2002
Large Poisson-Voronoi cells and Crofton cells. Zbl 1069.60010
Hug, Daniel; Reitzner, Matthias; Schneider, Rolf
2004
Second-order properties and central limit theorems for geometric functionals of Boolean models. Zbl 1348.60013
Hug, Daniel; Last, Günter; Schulte, Matthias
2016
Gaussian polytopes: variances and limit theorems. Zbl 1089.52003
Hug, Daniel; Reitzner, Matthias
2005
The limit shape of the zero cell in a stationary Poisson hyperplane tessellation. Zbl 1050.60010
Hug, Daniel; Reitzner, Matthias; Schneider, Rolf
2004
The space of isometry covariant tensor valuations. Zbl 1134.52008
Hug, D.; Schneider, R.; Schuster, R.
2008
Random points in halfspheres. Zbl 1362.52002
Bárány, Imre; Hug, Daniel; Reitzner, Matthias; Schneider, Rolf
2017
Reverse inequalities for zonoids and their application. Zbl 1230.52021
Hug, Daniel; Schneider, Rolf
2011
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
2019
Absolute continuity for curvature measures of convex sets. II. Zbl 0954.52006
Hug, Daniel
1999
Asymptotic mean values of Gaussian polytopes. Zbl 1082.52003
Hug, Daniel; Munsonius, Götz Olaf; Reitzner, Matthias
2004
Absolute continuity for curvature measures of convex sets. I. Zbl 0938.52003
Hug, Daniel
1998
Equality of two representations of extended affine surface area. Zbl 0838.52010
Dolzmann, Georg; Hug, Daniel
1995
Does polynomial parallel volume imply convexity? Zbl 1048.52003
Heveling, Matthias; Hug, Daniel; Last, Günter
2004
Poisson polyhedra in high dimensions. Zbl 1325.52005
Hörrmann, Julia; Hug, Daniel; Reitzner, Matthias; Thäle, Christoph
2015
Random conical tessellations. Zbl 1353.52004
Hug, Daniel; Schneider, Rolf
2016
The mean width of random polytopes circumscribed around a convex body. Zbl 1191.52003
Böröczky, Károly jun.; Fodor, Ferenc; Hug, Daniel
2010
Flag measures for convex bodies. Zbl 1277.52003
Hug, Daniel; Türk, Ines; Weil, Wolfgang
2013
Generalized curvature measures and singularities of sets with positive reach. Zbl 0938.52004
Hug, Daniel
1998
Minkowski tensor density formulas for Boolean models. Zbl 1308.60019
Hörrmann, Julia; Hug, Daniel; Klatt, Michael Andreas; Mecke, Klaus
2014
Stability of the reverse Blaschke-Santaló inequality for zonoids and applications. Zbl 1191.52002
Böröczky, Károly jun.; Hug, Daniel
2010
Steiner type formulae and weighted measures of singularities for semi-convex functions. Zbl 1096.49021
Colesanti, Andrea; Hug, Daniel
2000
Generalized contact distributions of inhomogeneous Boolean models. Zbl 1008.60024
Hug, Daniel; Last, Günter; Weil, Wolfgang
2002
Polynomial parallel volume, convexity and contact distributions of random sets. Zbl 1099.60011
Hug, Daniel; Last, Günter; Weil, Wolfgang
2006
Typical cells in Poisson hyperplane tessellations. Zbl 1140.60009
Hug, Daniel; Schneider, Rolf
2007
Extensions of translation invariant valuations on polytopes. Zbl 1315.52010
Hinderer, Wolfram; Hug, Daniel; Weil, Wolfgang
2015
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
2020
Large faces in Poisson hyperplane mosaics. Zbl 1202.60021
Hug, Daniel; Schneider, Rolf
2010
Absolute continuity for curvature measures of convex sets. III. Zbl 1030.52003
Hug, Daniel
2002
Surface tensor estimation from linear sections. Zbl 1331.52008
Kousholt, Astrid; Kiderlen, Markus; Hug, Daniel
2015
Intrinsic volumes of random polytopes with vertices on the boundary of a convex body. Zbl 1271.52004
Böröczky, Károly jun.; Fodor, Ferenc; Hug, Daniel
2013
Expectation of intrinsic volumes of random polytopes. Zbl 1265.52004
Böröczky, Károly jun.; Hoffmann, Lars Michael; Hug, Daniel
2008
Voronoi-based estimation of Minkowski tensors from finite point samples. Zbl 1370.68309
Hug, Daniel; Kiderlen, Markus; Svane, Anne Marie
2017
Faces with given directions in anisotropic Poisson hyperplane mosaics. Zbl 1234.60013
Hug, Daniel; Schneider, Rolf
2011
Mixed curvature measures of translative integral geometry. Zbl 1397.53088
Hug, Daniel; Rataj, Jan
2018
A flag representation of projection functions. Zbl 1401.52008
Goodey, Paul; Hinderer, Wolfram; Hug, Daniel; Rataj, Jan; Weil, Wolfgang
2017
A product integral representation of mixed volumes of two convex bodies. Zbl 1284.52006
Hug, Daniel; Rataj, Jan; Weil, Wolfgang
2013
Intersections and translative integral formulas for boundaries of convex bodies. Zbl 0982.52007
Hug, Daniel; Schätzle, Reiner
2001
Large cells in Poisson-Delaunay tessellations. Zbl 1074.60009
Hug, Daniel; Schneider, Rolf
2004
On the volume of the zero cell of a class of isotropic Poisson hyperplane tessellations. Zbl 1319.60013
Hörrmann, Julia; Hug, Daniel
2014
Kinematic formulas for area measures. Zbl 1376.52005
Weil, Wolfgang; Goodey, Paul; Hug, Daniel
2017
Splitting tessellations in spherical spaces. Zbl 1417.52006
Hug, Daniel; Thäle, Christoph
2019
Geometrische Masse in der affinen Konvexgeometrie. (Geometric mass in affine convex geometry). Zbl 0875.52004
Hug, Daniel
1994
On the mean number of normals through a point in the interior of a convex body. Zbl 0835.52011
Hug, Daniel
1995
Distance measurements on processes of flats. Zbl 1024.60005
Hug, Daniel; Last, Günter; Weil, Wolfgang
2003
The volume of random polytopes circumscribed around a convex body. Zbl 1336.52004
Fodor, Ferenc; Hug, Daniel; Ziebarth, Ines
2016
Random mosaics. Zbl 1136.60008
Hug, Daniel
2007
A stability result for a volume ratio. Zbl 1139.52012
Hug, Daniel; Schneider, Rolf
2007
A characterization of some mixed volumes via the Brunn-Minkowski inequality. Zbl 1404.52003
Colesanti, Andrea; Hug, Daniel; Gómez, Eugenia Saorín
2014
Integral geometry and algebraic structures for tensor valuations. Zbl 1376.52021
Bernig, Andreas; Hug, Daniel
2017
Nakajima’s problem for general convex bodies. Zbl 1161.52003
Hug, Daniel
2009
Hessian measures of convex functions and applications to area measures. Zbl 1073.52002
Colesanti, Andrea; Hug, Daniel
2005
Nakajima’s problem: convex bodies of constant width and constant brightness. Zbl 1149.52003
Howard, Ralph; Hug, Daniel
2007
Smooth convex bodies with proportional projection functions. Zbl 1126.52006
Howard, Ralph; Hug, Daniel
2007
Hölder continuity for support measures of convex bodies. Zbl 1315.52003
Hug, Daniel; Schneider, Rolf
2015
Isotropic measures and stronger forms of the reverse isoperimetric inequality. Zbl 1373.52011
Böröczky, Károly J.; Hug, Daniel
2017
Rotation covariant local tensor valuations on convex bodies. Zbl 1373.52007
Hug, Daniel; Schneider, Rolf
2017
Flag representations of mixed volumes and mixed functionals of convex bodies. Zbl 1383.52007
Hug, Daniel; Rataj, Jan; Weil, Wolfgang
2018
Crofton formulae for tensorial curvature measures: the general case. Zbl 1442.52004
Hug, Daniel; Weis, Jan A.
2018
An inclusion-exclusion identity for normal cones of polyhedral sets. Zbl 1390.52019
Hug, Daniel; Kabluchko, Zakhar
2018
Large typical cells in Poisson-Delaunay mosaics. Zbl 1113.60016
Hug, Daniel; Schneider, Rolf
2005
Contact distributions of Boolean models. Zbl 0978.60015
Hug, Daniel
2000
Valuations on convex sets of oriented hyperplanes. Zbl 1071.52006
Gates, John; Hug, Daniel; Schneider, Rolf
2005
$$SO(n)$$ covariant local tensor valuations on polytopes. Zbl 1376.52024
Hug, Daniel; Schneider, Rolf
2017
Approximation properties of random polytopes associated with Poisson hyperplane processes. Zbl 1319.60015
Hug, Daniel; Schneider, Rolf
2014
Statistics for Poisson models of overlapping spheres. Zbl 1319.60014
Hug, Daniel; Last, Günter; Pawlas, Zbynok; Weil, Wolfgang
2014
Intersection and proximity of processes of flats. Zbl 1325.60048
Hug, Daniel; Thäle, Christoph; Weil, Wolfgang
2015
Tensor valuations and their local versions. Zbl 1369.52018
Hug, Daniel; Schneider, Rolf
2017
Crofton formulae for tensor-valued curvature measures. Zbl 1375.53095
Hug, Daniel; Weis, Jan A.
2017
Second order analysis of geometric functionals of Boolean models. Zbl 1373.60023
Hug, Daniel; Klatt, Michael A.; Last, Günter; Schulte, Matthias
2017
Affine diameters of convex bodies. Zbl 1335.52006
Bárány, Imre; Hug, Daniel; Schneider, Rolf
2016
Monotonicity and concavity of integral functionals involving area measures of convex bodies. Zbl 1371.52002
Colesanti, Andrea; Hug, Daniel; Gómez, Eugenia Saorín
2017
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.
2013
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
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
2019
Splitting tessellations in spherical spaces. Zbl 1417.52006
Hug, Daniel; Thäle, Christoph
2019
Mixed curvature measures of translative integral geometry. Zbl 1397.53088
Hug, Daniel; Rataj, Jan
2018
Flag representations of mixed volumes and mixed functionals of convex bodies. Zbl 1383.52007
Hug, Daniel; Rataj, Jan; Weil, Wolfgang
2018
Crofton formulae for tensorial curvature measures: the general case. Zbl 1442.52004
Hug, Daniel; Weis, Jan A.
2018
An inclusion-exclusion identity for normal cones of polyhedral sets. Zbl 1390.52019
Hug, Daniel; Kabluchko, Zakhar
2018
Random points in halfspheres. Zbl 1362.52002
Bárány, Imre; Hug, Daniel; Reitzner, Matthias; Schneider, Rolf
2017
Voronoi-based estimation of Minkowski tensors from finite point samples. Zbl 1370.68309
Hug, Daniel; Kiderlen, Markus; Svane, Anne Marie
2017
A flag representation of projection functions. Zbl 1401.52008
Goodey, Paul; Hinderer, Wolfram; Hug, Daniel; Rataj, Jan; Weil, Wolfgang
2017
Kinematic formulas for area measures. Zbl 1376.52005
Weil, Wolfgang; Goodey, Paul; Hug, Daniel
2017
Integral geometry and algebraic structures for tensor valuations. Zbl 1376.52021
Bernig, Andreas; Hug, Daniel
2017
Isotropic measures and stronger forms of the reverse isoperimetric inequality. Zbl 1373.52011
Böröczky, Károly J.; Hug, Daniel
2017
Rotation covariant local tensor valuations on convex bodies. Zbl 1373.52007
Hug, Daniel; Schneider, Rolf
2017
$$SO(n)$$ covariant local tensor valuations on polytopes. Zbl 1376.52024
Hug, Daniel; Schneider, Rolf
2017
Tensor valuations and their local versions. Zbl 1369.52018
Hug, Daniel; Schneider, Rolf
2017
Crofton formulae for tensor-valued curvature measures. Zbl 1375.53095
Hug, Daniel; Weis, Jan A.
2017
Second order analysis of geometric functionals of Boolean models. Zbl 1373.60023
Hug, Daniel; Klatt, Michael A.; Last, Günter; Schulte, Matthias
2017
Monotonicity and concavity of integral functionals involving area measures of convex bodies. Zbl 1371.52002
Colesanti, Andrea; Hug, Daniel; Gómez, Eugenia Saorín
2017
Second-order properties and central limit theorems for geometric functionals of Boolean models. Zbl 1348.60013
Hug, Daniel; Last, Günter; Schulte, Matthias
2016
Random conical tessellations. Zbl 1353.52004
Hug, Daniel; Schneider, Rolf
2016
The volume of random polytopes circumscribed around a convex body. Zbl 1336.52004
Fodor, Ferenc; Hug, Daniel; Ziebarth, Ines
2016
Affine diameters of convex bodies. Zbl 1335.52006
Bárány, Imre; Hug, Daniel; Schneider, Rolf
2016
The dual Orlicz-Brunn-Minkowski theory. Zbl 1320.52008
Gardner, Richard J.; Hug, Daniel; Weil, Wolfgang; Ye, Deping
2015
Poisson polyhedra in high dimensions. Zbl 1325.52005
Hörrmann, Julia; Hug, Daniel; Reitzner, Matthias; Thäle, Christoph
2015
Extensions of translation invariant valuations on polytopes. Zbl 1315.52010
Hinderer, Wolfram; Hug, Daniel; Weil, Wolfgang
2015
Surface tensor estimation from linear sections. Zbl 1331.52008
Kousholt, Astrid; Kiderlen, Markus; Hug, Daniel
2015
Hölder continuity for support measures of convex bodies. Zbl 1315.52003
Hug, Daniel; Schneider, Rolf
2015
Intersection and proximity of processes of flats. Zbl 1325.60048
Hug, Daniel; Thäle, Christoph; Weil, Wolfgang
2015
The Orlicz-Brunn-Minkowski theory: a general framework, additions, and inequalities. Zbl 1303.52002
Gardner, Richard J.; Hug, Daniel; Weil, Wolfgang
2014
Local tensor valuations. Zbl 1366.52004
Hug, Daniel; Schneider, Rolf
2014
Minkowski tensor density formulas for Boolean models. Zbl 1308.60019
Hörrmann, Julia; Hug, Daniel; Klatt, Michael Andreas; Mecke, Klaus
2014
On the volume of the zero cell of a class of isotropic Poisson hyperplane tessellations. Zbl 1319.60013
Hörrmann, Julia; Hug, Daniel
2014
A characterization of some mixed volumes via the Brunn-Minkowski inequality. Zbl 1404.52003
Colesanti, Andrea; Hug, Daniel; Gómez, Eugenia Saorín
2014
Approximation properties of random polytopes associated with Poisson hyperplane processes. Zbl 1319.60015
Hug, Daniel; Schneider, Rolf
2014
Statistics for Poisson models of overlapping spheres. Zbl 1319.60014
Hug, Daniel; Last, Günter; Pawlas, Zbynok; Weil, Wolfgang
2014
Operations between sets in geometry. Zbl 1282.52006
Gardner, Richard J.; Hug, Daniel; Weil, Wolfgang
2013
Random polytopes. Zbl 1275.60017
Hug, Daniel
2013
Flag measures for convex bodies. Zbl 1277.52003
Hug, Daniel; Türk, Ines; Weil, Wolfgang
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
2013
A product integral representation of mixed volumes of two convex bodies. Zbl 1284.52006
Hug, Daniel; Rataj, Jan; Weil, Wolfgang
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.
2013
Reverse inequalities for zonoids and their application. Zbl 1230.52021
Hug, Daniel; Schneider, Rolf
2011
Faces with given directions in anisotropic Poisson hyperplane mosaics. Zbl 1234.60013
Hug, Daniel; Schneider, Rolf
2011
The mean width of random polytopes circumscribed around a convex body. Zbl 1191.52003
Böröczky, Károly jun.; Fodor, Ferenc; Hug, Daniel
2010
Stability of the reverse Blaschke-Santaló inequality for zonoids and applications. Zbl 1191.52002
Böröczky, Károly jun.; Hug, Daniel
2010
Large faces in Poisson hyperplane mosaics. Zbl 1202.60021
Hug, Daniel; Schneider, Rolf
2010
Nakajima’s problem for general convex bodies. Zbl 1161.52003
Hug, Daniel
2009
Integral geometry of tensor valuations. Zbl 1158.52004
Hug, Daniel; Schneider, Rolf; Schuster, Ralph
2008
The space of isometry covariant tensor valuations. Zbl 1134.52008
Hug, D.; Schneider, R.; Schuster, R.
2008
Expectation of intrinsic volumes of random polytopes. Zbl 1265.52004
Böröczky, Károly jun.; Hoffmann, Lars Michael; Hug, Daniel
2008
Asymptotic shapes of large cells in random tessellations. Zbl 1114.60012
Hug, Daniel; Schneider, Rolf
2007
Typical cells in Poisson hyperplane tessellations. Zbl 1140.60009
Hug, Daniel; Schneider, Rolf
2007
Random mosaics. Zbl 1136.60008
Hug, Daniel
2007
A stability result for a volume ratio. Zbl 1139.52012
Hug, Daniel; Schneider, Rolf
2007
Nakajima’s problem: convex bodies of constant width and constant brightness. Zbl 1149.52003
Howard, Ralph; Hug, Daniel
2007
Smooth convex bodies with proportional projection functions. Zbl 1126.52006
Howard, Ralph; Hug, Daniel
2007
Polynomial parallel volume, convexity and contact distributions of random sets. Zbl 1099.60011
Hug, Daniel; Last, Günter; Weil, Wolfgang
2006
On the $$L_{p}$$ Minkowski problem for polytopes. Zbl 1078.52008
Hug, Daniel; Lutwak, Erwin; Yang, Deane; Zhang, Gaoyong
2005
Gaussian polytopes: variances and limit theorems. Zbl 1089.52003
Hug, Daniel; Reitzner, Matthias
2005
Hessian measures of convex functions and applications to area measures. Zbl 1073.52002
Colesanti, Andrea; Hug, Daniel
2005
Large typical cells in Poisson-Delaunay mosaics. Zbl 1113.60016
Hug, Daniel; Schneider, Rolf
2005
Valuations on convex sets of oriented hyperplanes. Zbl 1071.52006
Gates, John; Hug, Daniel; Schneider, Rolf
2005
A local Steiner-type formula for general closed sets and applications. Zbl 1059.53061
Hug, Daniel; Last, Günter; Weil, Wolfgang
2004
Large Poisson-Voronoi cells and Crofton cells. Zbl 1069.60010
Hug, Daniel; Reitzner, Matthias; Schneider, Rolf
2004
The limit shape of the zero cell in a stationary Poisson hyperplane tessellation. Zbl 1050.60010
Hug, Daniel; Reitzner, Matthias; Schneider, Rolf
2004
Asymptotic mean values of Gaussian polytopes. Zbl 1082.52003
Hug, Daniel; Munsonius, Götz Olaf; Reitzner, Matthias
2004
Does polynomial parallel volume imply convexity? Zbl 1048.52003
Heveling, Matthias; Hug, Daniel; Last, Günter
2004
Large cells in Poisson-Delaunay tessellations. Zbl 1074.60009
Hug, Daniel; Schneider, Rolf
2004
Intrinsic volumes and polar sets in spherical space. Zbl 1202.52006
Gao, Fuchang; Hug, Daniel; Schneider, Rolf
2003
Distance measurements on processes of flats. Zbl 1024.60005
Hug, Daniel; Last, Günter; Weil, Wolfgang
2003
Stability results involving surface area measures of convex bodies. Zbl 1113.52013
Hug, Daniel; Schneider, Rolf
2002
Generalized contact distributions of inhomogeneous Boolean models. Zbl 1008.60024
Hug, Daniel; Last, Günter; Weil, Wolfgang
2002
Absolute continuity for curvature measures of convex sets. III. Zbl 1030.52003
Hug, Daniel
2002
Intersections and translative integral formulas for boundaries of convex bodies. Zbl 0982.52007
Hug, Daniel; Schätzle, Reiner
2001
On support measures in Minkowski spaces and contact distributions in stochastic geometry. Zbl 1044.60006
Hug, Daniel; Last, Günter
2000
Hessian measures of semi-convex functions and applications to support measures of convex bodies. Zbl 0973.52003
Colesanti, Andrea; Hug, Daniel
2000
Steiner type formulae and weighted measures of singularities for semi-convex functions. Zbl 1096.49021
Colesanti, Andrea; Hug, Daniel
2000
Contact distributions of Boolean models. Zbl 0978.60015
Hug, Daniel
2000
Absolute continuity for curvature measures of convex sets. II. Zbl 0954.52006
Hug, Daniel
1999
Absolute continuity for curvature measures of convex sets. I. Zbl 0938.52003
Hug, Daniel
1998
Generalized curvature measures and singularities of sets with positive reach. Zbl 0938.52004
Hug, Daniel
1998
Contributions to affine surface area. Zbl 0871.52004
Hug, Daniel
1996
Curvature relations and affine surface area for a general convex body and its polar. Zbl 0861.52003
Hug, Daniel
1996
Equality of two representations of extended affine surface area. Zbl 0838.52010
Dolzmann, Georg; Hug, Daniel
1995
On the mean number of normals through a point in the interior of a convex body. Zbl 0835.52011
Hug, Daniel
1995
Geometrische Masse in der affinen Konvexgeometrie. (Geometric mass in affine convex geometry). Zbl 0875.52004
Hug, Daniel
1994
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#### Cited by 410 Authors

 56 Hug, Daniel 33 Thäle, Christoph 22 Schneider, Rolf G. 19 Böröczky, Karoly jun. 17 Werner, Elisabeth M. 16 Weil, Wolfgang 15 Reitzner, Matthias 15 Ye, Deping 14 Kiderlen, Markus 13 Last, Günter 12 Colesanti, Andrea 12 Kabluchko, Zakhar A. 12 Zhao, Changjian 11 Ludwig, Monika 11 Xiong, Ge 10 Bernig, Andreas 10 Gardner, Richard J. 10 Rataj, Jan 10 Schuster, Franz E. 9 Yang, Deane 8 Calka, Pierre 8 Leng, Gangsong 8 Schulte, Matthias 8 Villa, Elena 8 Zhang, Gaoyong 8 Zhou, Jiazu 7 Zhu, Guangxian 6 Bianchi, Gabriele 6 Grote, Julian 6 Haberl, Christoph 6 He, Binwu 6 Ivaki, Mohammad N. 6 Lutwak, Erwin 6 Svane, Anne Marie 6 Zou, Du 5 Abardia-Evéquoz, Judit 5 Ballani, Felix 5 Besau, Florian 5 Fodor, Ferenc 5 Hörrmann, Julia 5 Huang, Qingzhong 5 Jin, Hailin 5 Khmaladze, Estate V. 5 Lapidus, Michel L. 5 Li, Aijun 5 Parapatits, Lukas 5 Schütt, Carsten 5 Vedel Jensen, Eva Bjørn 5 Wang, Hejun 5 Wang, Weidong 5 Xi, Dongmeng 5 Xiao, Jie 5 Zaporozhets, Dmitry 5 Zhu, Baocheng 4 Bárány, Imre 4 Feng, Yibin 4 Gómez, Eugenia Saorín 4 Guo, Lujun 4 Henk, Martin 4 Hilhorst, Hendrik Jan 4 Huang, Yong 4 Li, Qirui 4 Liu, Lijuan 4 Lu, Jian 4 Mecke, Klaus R. 4 Pivovarov, Peter 4 Prochno, Joscha 4 Saroglou, Christos 4 Solanes, Gil 4 Xing, Sudan 4 Xu, Wenxue 4 Yukich, Joseph Elliott 3 Alonso-Gutiérrez, David 3 Brunel, Victor-Emmanuel 3 Camerlenghi, Federico 3 Chen, Fangwei 3 Chen, Shibing 3 Chen, Zhengmao 3 Chenavier, Nicolas 3 Cheung, Wingsum 3 Fang, Niufa 3 Gronchi, Paolo 3 Hoffmann, Lars Michael 3 Hou, Shaoxiong 3 Jian, Huaiyu 3 Kim, Jaegil 3 Klatt, Michael Andreas 3 Lin, Youjiang 3 Ma, Tongyi 3 Marsiglietti, Arnaud 3 Mérigot, Quentin 3 Meyer, Mathieu 3 Paouris, Grigoris 3 Reichenwallner, Benjamin 3 Santilli, Mario 3 Schmidt, Volker 3 Temesvari, Daniel 3 Tu, Qiang 3 Turchi, Nicola 3 Vysotsky, Vladislav V. ...and 310 more Authors
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#### Cited in 120 Serials

 58 Advances in Mathematics 24 Advances in Applied Mathematics 23 Advances in Applied Probability 21 Transactions of the American Mathematical Society 20 Journal of Mathematical Analysis and Applications 20 Journal of Functional Analysis 15 Discrete & Computational Geometry 14 Proceedings of the American Mathematical Society 13 The Journal of Geometric Analysis 12 Geometriae Dedicata 10 Mathematika 10 Calculus of Variations and Partial Differential Equations 9 Probability Theory and Related Fields 8 Mathematische Nachrichten 8 Monatshefte für Mathematik 8 Stochastic Processes and their Applications 8 Bernoulli 7 The Annals of Probability 6 Science China. Mathematics 5 Journal of Statistical Physics 5 Results in Mathematics 5 The Annals of Applied Probability 5 Communications in Contemporary Mathematics 5 Advances in Geometry 5 Journal of Function Spaces 4 Annali di Matematica Pura ed Applicata. Serie Quarta 4 Mathematische Annalen 4 Forum Mathematicum 4 Geometric and Functional Analysis. GAFA 4 Electronic Journal of Probability 4 Journal of the European Mathematical Society (JEMS) 4 Journal of Statistical Mechanics: Theory and Experiment 3 Israel Journal of Mathematics 3 Indiana University Mathematics Journal 3 Journal of Applied Probability 3 Journal of Differential Equations 3 Journal of Geometry 3 Mathematische Zeitschrift 3 Quaestiones Mathematicae 3 Aequationes Mathematicae 3 Journal of Convex Analysis 3 Methodology and Computing in Applied Probability 3 Journal of Mathematical Inequalities 2 Bulletin of the Australian Mathematical Society 2 Periodica Mathematica Hungarica 2 Annals of the Institute of Statistical Mathematics 2 Archiv der Mathematik 2 Canadian Journal of Mathematics 2 Acta Mathematica Hungarica 2 Journal of Complexity 2 Journal of the American Mathematical Society 2 International Journal of Mathematics 2 Differential Geometry and its Applications 2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Indagationes Mathematicae. New Series 2 Journal of Mathematical Imaging and Vision 2 Journal of Mathematical Sciences (New York) 2 St. Petersburg Mathematical Journal 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Journal of Inequalities and Applications 2 Oberwolfach Reports 2 ALEA. Latin American Journal of Probability and Mathematical Statistics 2 Electronic Journal of Statistics 2 Journal of Nonlinear Science and Applications 1 Archive for Rational Mechanics and Analysis 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Biology 1 Beiträge zur Algebra und Geometrie 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 The Annals of Statistics 1 Automatica 1 Bulletin of the London Mathematical Society 1 Czechoslovak Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Differential Geometry 1 Journal of the Mathematical Society of Japan 1 Journal of Multivariate Analysis 1 Journal of Optimization Theory and Applications 1 Journal für die Reine und Angewandte Mathematik 1 Journal of Statistical Planning and Inference 1 Kodai Mathematical Journal 1 Manuscripta Mathematica 1 Mathematics of Operations Research 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Control and Optimization 1 Statistics & Probability Letters 1 Chinese Annals of Mathematics. Series B 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae 1 Annals of Global Analysis and Geometry 1 Statistics 1 Statistical Science 1 Journal of Theoretical Probability 1 Random Structures & Algorithms 1 Applications of Mathematics 1 Experimental Mathematics 1 Potential Analysis 1 Documenta Mathematica 1 Balkan Journal of Geometry and its Applications (BJGA) ...and 20 more Serials
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#### Cited in 44 Fields

 373 Convex and discrete geometry (52-XX) 168 Probability theory and stochastic processes (60-XX) 100 Differential geometry (53-XX) 43 Measure and integration (28-XX) 32 Statistics (62-XX) 30 Partial differential equations (35-XX) 24 Real functions (26-XX) 21 Functional analysis (46-XX) 21 Calculus of variations and optimal control; optimization (49-XX) 10 Potential theory (31-XX) 9 Statistical mechanics, structure of matter (82-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 7 Numerical analysis (65-XX) 7 Information and communication theory, circuits (94-XX) 6 Combinatorics (05-XX) 6 Geometry (51-XX) 6 Operations research, mathematical programming (90-XX) 5 Number theory (11-XX) 5 Ordinary differential equations (34-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Computer science (68-XX) 4 Integral transforms, operational calculus (44-XX) 2 General and overarching topics; collections (00-XX) 2 Group theory and generalizations (20-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 2 Operator theory (47-XX) 2 General topology (54-XX) 2 Mechanics of deformable solids (74-XX) 2 Fluid mechanics (76-XX) 2 Optics, electromagnetic theory (78-XX) 2 Systems theory; control (93-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Sequences, series, summability (40-XX) 1 Algebraic topology (55-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)