Daniel Hug

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Person:259567

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zbMath Open hug.danielMaRDI QIDQ259567

List of research outcomes

PublicationDate of PublicationType
Extremizers and stability of the Betke-Weil inequality2024-04-08Paper
Vectorial analogues of Cauchy's surface area formula2024-02-20Paper
Characterizing digital microstructures by the Minkowski‐based quadratic normal tensor2023-12-20Paper
Introduction to Stochastic Geometry2023-11-17Paper
Intersections of Poisson \(k\)-flats in constant curvature spaces2023-10-30Paper
Extremizers of the Alexandrov--Fenchel inequality within a new class of convex bodies2023-09-28Paper
The support of mixed area measures involving a new class of convex bodies2023-09-28Paper
Boolean models2023-08-10Paper
Curvature measures and soap bubbles beyond convexity2022-12-08Paper
On a game of chance in Marc Elsberg's thriller ``GREED2022-10-21Paper
Reverse Alexandrov–Fenchel inequalities for zonoids2022-10-06Paper
Threshold phenomena for random cones2022-03-21Paper
Another Look at Threshold Phenomena for Random Cones2022-01-06Paper
Strengthened inequalities for the mean width and the ℓ‐norm2021-09-03Paper
Does a central limit theorem hold for the \(k\)-skeleton of Poisson hyperplanes in hyperbolic space?2021-04-16Paper
Minkowski tensors of anisotropic spatial structure2020-12-18Paper
Lectures on Convex Geometry2020-09-03Paper
A reverse Minkowski-type inequality2020-09-03Paper
Integral geometry of pairs of hyperplanes or lines2020-08-24Paper
POISSON HYPERPLANE PROCESSES AND APPROXIMATION OF CONVEX BODIES2020-06-09Paper
General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski problem. II2019-12-13Paper
Determination of Boolean models by densities of mixed volumes2019-12-09Paper
Integral geometry of pairs of hyperplanes or lines2019-11-26Paper
Splitting tessellations in spherical spaces2019-05-16Paper
Kinematic formulae for tensorial curvature measures2019-01-14Paper
Strengthened volume inequalities for $L_p$ zonoids of even isotropic measures2018-12-13Paper
General volumes in the Orlicz-Brunn-Minkowski theory and a related Minkowski problem. I2018-12-10Paper
Crofton formulae for tensorial curvature measures: the general case2018-11-19Paper
Mixed curvature measures of translative integral geometry2018-08-23Paper
A flag representation of projection functions2018-03-29Paper
Kinematic formulas for tensor valuations2018-03-07Paper
AN INCLUSION–EXCLUSION IDENTITY FOR NORMAL CONES OF POLYHEDRAL SETS2018-02-26Paper
Flag representations of mixed volumes and mixed functionals of convex bodies2018-02-13Paper
Integral geometric formulae for Minkowski tensors2017-12-27Paper
\(SO(n)\) covariant local tensor valuations on polytopes2017-10-12Paper
Geometric inequalities, stability results and Kendall's problem in spherical space2017-09-19Paper
Rotation covariant local tensor valuations on convex bodies2017-09-01Paper
Isotropic measures and stronger forms of the reverse isoperimetric inequality2017-08-21Paper
Kinematic formulas for area measures2017-08-03Paper
Tensor Valuations and Their Local Versions2017-07-14Paper
Integral Geometry and Algebraic Structures for Tensor Valuations2017-07-14Paper
Crofton Formulae for Tensor-Valued Curvature Measures2017-07-14Paper
Second Order Analysis of Geometric Functionals of Boolean Models2017-07-14Paper
Local tensor valuations2017-07-11Paper
Voronoi-based estimation of Minkowski tensors from finite point samples2017-05-11Paper
Monotonicity and concavity of integral functionals involving area measures of convex bodies2017-04-06Paper
Random points in halfspheres2017-01-10Paper
Random conical tessellations2016-09-14Paper
Second-order properties and central limit theorems for geometric functionals of Boolean models2016-03-11Paper
Affine diameters of convex bodies2016-03-02Paper
THE VOLUME OF RANDOM POLYTOPES CIRCUMSCRIBED AROUND A CONVEX BODY2016-01-22Paper
Surface tensor estimation from linear sections2015-11-03Paper
Poisson polyhedra in high dimensions2015-07-13Paper
The dual Orlicz-Brunn-Minkowski theory2015-07-06Paper
EXTENSIONS OF TRANSLATION INVARIANT VALUATIONS ON POLYTOPES2015-03-19Paper
Intersection and proximity of processes of flats2015-02-11Paper
Hölder continuity for support measures of convex bodies2015-02-03Paper
Approximation Properties of Random Polytopes Associated with Poisson Hyperplane Processes2015-01-19Paper
Statistics for Poisson Models of Overlapping Spheres2015-01-19Paper
A characterization of some mixed volumes via the Brunn-Minkowski inequality2014-11-18Paper
On the Volume of the Zero Cell of a Class of Isotropic Poisson Hyperplane Tessellations2014-09-25Paper
Minkowski tensor density formulas for Boolean models2014-08-27Paper
The Orlicz-Brunn-Minkowski theory: a general framework, additions, and inequalities2014-07-28Paper
Operations between sets in geometry2014-01-07Paper
A product integral representation of mixed volumes of two convex bodies2013-11-19Paper
H\"older continuity of normal cycles and of support measures of convex bodies2013-10-05Paper
Random Polytopes2013-07-31Paper
Flag Measures for Convex Bodies2013-06-17Paper
Intrinsic volumes of random polytopes with vertices on the boundary of a convex body2013-04-16Paper
Reverse inequalities for zonoids and their application2011-11-08Paper
Faces of Poisson-Voronoi mosaics2011-11-07Paper
Faces with given directions in anisotropic Poisson hyperplane mosaics2011-07-22Paper
https://portal.mardi4nfdi.de/entity/Q30646952010-12-22Paper
Large faces in Poisson hyperplane mosaics2010-07-19Paper
Stability of the reverse Blaschke-Santaló inequality for zonoids and applications2010-04-01Paper
The mean width of random polytopes circumscribed around a convex body2010-03-31Paper
Expectation of intrinsic volumes of random polytopes2009-12-29Paper
Nakajima’s problem for general convex bodies2009-02-05Paper
Integral geometry of tensor valuations2008-11-06Paper
Nakajima's Problem: Convex Bodies of Constant Width and Constant Brightness2008-07-29Paper
A stability result for a volume ratio2008-04-01Paper
The space of isometry covariant tensor valuations2008-02-05Paper
Typical cells in Poisson hyperplane tessellations2007-12-19Paper
Smooth convex bodies with proportional projection functions2007-09-03Paper
Asymptotic shapes of large cells in random tessellations2007-05-14Paper
https://portal.mardi4nfdi.de/entity/Q34368692007-05-11Paper
https://portal.mardi4nfdi.de/entity/Q34348952007-05-03Paper
https://portal.mardi4nfdi.de/entity/Q54902802006-10-04Paper
Polynomial parallel volume, convexity and contact distributions of random sets2006-06-14Paper
Gaussian polytopes: variances and limit theorems2005-09-29Paper
On the \(L_{p}\) Minkowski problem for polytopes2005-08-02Paper
HESSIAN MEASURES OF CONVEX FUNCTIONS AND APPLICATIONS TO AREA MEASURES2005-04-29Paper
Large Poisson-Voronoi cells and Crofton cells2005-03-30Paper
Valuations on convex sets of oriented hyperplanes2005-02-23Paper
Large cells in Poisson-Delaunay tessellations2004-12-13Paper
The limit shape of the zero cell in a stationary Poisson hyperplane tessellation.2004-09-15Paper
Asymptotic mean values of Gaussian polytopes2004-09-10Paper
Does polynomial parallel volume imply convexity?2004-07-01Paper
A local Steiner-type formula for general closed sets and applications2004-07-01Paper
Distance measurements on processes of flats2003-09-04Paper
On support measures in Minkowski spaces and contact distributions in stochastic geometry.2003-05-06Paper
https://portal.mardi4nfdi.de/entity/Q47979782003-03-10Paper
Generalized contact distributions of inhomogeneous Boolean models2002-10-06Paper
Absolute continuity for curvature measures of convex sets. III2002-09-12Paper
Intersections and Translative Integral Formulas for Boundaries of Convex Bodies2002-04-11Paper
https://portal.mardi4nfdi.de/entity/Q27041062002-01-24Paper
Hessian measures of semi-convex functions and applications to support measures of convex bodies2001-09-06Paper
Absolute continuity for curvature measures of convex sets. II2001-02-14Paper
Absolute Continuity for Curvature Measures of Convex Sets I2000-06-21Paper
Steiner type formulae and weighted measures of singularities for semi-convex functions2000-05-22Paper
Generalized curvature measures and singularities of sets with positive reach1998-12-02Paper
Contributions to affine surface area1997-02-20Paper
Curvature relations and affine surface area for a general convex body and its polar1996-08-27Paper
On the mean number of normals through a point in the interior of a convex body1996-04-16Paper
https://portal.mardi4nfdi.de/entity/Q48673871996-03-04Paper
Equality of two representations of extended affine surface area1995-11-14Paper
https://portal.mardi4nfdi.de/entity/Q33646771994-01-01Paper

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