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Author ID: hug.daniel Recent zbMATH articles by "Hug, Daniel"
Published as: Hug, Daniel; Hug, D.
External Links: MGP
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

Publications by Year

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 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. Mathematics
7 Journal of Function Spaces
6 Archiv der Mathematik
6 Advances in Geometry
6 Journal of Statistical Mechanics: Theory and Experiment
5 Israel Journal of Mathematics
5 Journal of Statistical Physics
5 Indiana University Mathematics Journal
5 Journal of Differential Equations
5 Mathematische Zeitschrift
5 Geometric and Functional Analysis. GAFA
5 Journal of Inequalities and Applications
5 Mathematical Inequalities & Applications
5 Advanced Nonlinear Studies
4 Annali di Matematica Pura ed Applicata. Serie Quarta
4 Journal of Applied Probability
4 Acta Mathematica Hungarica
4 Forum Mathematicum
4 Journal of Mathematical Imaging and Vision
4 Journal of the European Mathematical Society (JEMS)
4 Acta Mathematica Sinica. English Series
4 Acta Mathematica Scientia. Series B. (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