2013
64. W. Hinderer, D. Hug and W. Weil. Extensions of translation invariant valuations on polytopes. (submitted) pdf
63. R.J. Gardner, D. Hug, W. Weil. The Orlicz-Brunn-Minkowski theory: a general framework, additions, and inequalities. (submitted)
pdf
62. D. Hug, G. Last, Z. Pawlas, W. Weil. Statistics for Poisson models of overlapping spheres. (submitted)
pdf
2012-13
61. D. Hug. Random polytopes. In: Stochastic Geometry, Spatial Statistics and Random Fields. Lecture Notes in Mathematics 2068 (ed. Evgeny Spodarev) (to appear) 61.pdf|pdf
60. D. Hug, I. Türk and W. Weil. Flag measures for convex bodies. Conference Proceedings of the Fields Institute (to appear) pdf
59. D. Hug and R. Schneider. Approximation properties of random polytopes associated with Poisson hyperplane processes. (submitted) pdf
58. R.J. Gardner, D. Hug, and W. Weil. Operations between sets in geometry. J. Europ. Math. Soc. (to appear) pdf
57. A. Colesanti, D. Hug., E. Saorin Gomez. A characterization of some mixed volumes via the Brunn-Minkowski inequality. J. Geom. Analysis (to appear)
pdf
56. J. Hörrmann, D. Hug. On the volume of the zero cell
of a class of isotropic Poisson hyperplane tessellations. (submitted) pdf
55. D. Hug, J. Rataj, W. Weil. A product integral representation of mixed volumes of two convex bodies. Adv. Geom. (to appear) pdf
54. G.E. Schröder-Turk, W. Mickel, S.C. Kapfer, F.M. Schaller, B. Breidenbach, D. Hug, K. Mecke. Minkowski tensors of anisotropic spatial structure. (submitted)
pdf
53. K. Böröczky, F. Fodor, D. Hug. Intrinsic volumes of random polytopes with vertices on the
boundary of a convex body. Trans. Amer. Math. Soc. 365 (2013), 785-809. pdf
2011
52. G.E. Schröder-Turk, W. Mickel, S.C. Kapfer, M.A. Klatt,
F.M. Schaller, M.J.F. Hoffmann, N. Kleppmann, P. Armstrong, A. Inayat, D. Hug, M. Reichelsdorfer, W. Peukert, W. Schwieger, K. Mecke. Minkowski Tensor shape analysis of cellular, granular and porous structures. Advanced Materials, Special Issue: Hierarchical Structures Towards Functionality. 23 (2011), 2535–2553.
Wiley
51. D. Hug, R. Schneider. Reverse inequalities for zonoids and their application. Adv. Math. 228 (2011), 2634-2646. doi:10.1016/j.aim.2011.07.018
50. D. Hug, R. Schneider. Faces with given directions in anisotropic Poisson hyperplane tessellations. Adv. Appl. Probab. 43 (2011), 308-321. pdf
49. D. Hug, R. Schneider. Faces in Poisson-Voronoi mosaics. Probab. Theory and Relat. Fields.
151 (2011), 125-151. pdf Official journal site
2010
48. K. Böröczky, D. Hug. Stability of the reverse
Blaschke-Santalo inequality for zonoids
and applications. Adv. Appl. Math. 44 (2010), 309-328. pdf
47. D. Hug, R. Schneider. Large faces in Poisson hyperplane mosaics. Ann. Probab. 38 (2010), 1320-1344. pdf Official journal site
46. K. Böröczky, F. Fodor, D. Hug. The mean width of
random polytopes circumscribed
around a convex body. J. London Math. Soc. 81 (2010), 499–523. pdf
2009
45. D. Hug. Nakajima's problem for general
convex bodies. Proc. Amer. Math. Soc. 137 (2009), 255-263.
pdf
2008
44. K. Böröczky, L.M. Hoffmann, D. Hug. Expectation of intrinsic volumes of random polytopes. Periodica Mathematica Hungarica 57 (2008), 143-164. pdf
43. D. Hug, R. Schneider, R.
Schuster. Integral
geometry
of tensor valuations. Adv. Appl. Math. 41 (2008), 482-509. pdf
42. D. Hug, R. Schneider, R. Schuster. The
space of isometry covariant tensor
valuations. Algebra
i Analiz and St. Petersburg Math. J. 19 (2008), 137-158.
pdf
2007
41. R. Howard, D. Hug. Nakajima's problem: convex bodies of
constant
width and constant brightness. Mathematika 54 (2007), 15-24. pdf
40. R. Howard, D. Hug. Smooth convex bodies with proportional
projection
functions.
39. D. Hug, R. Schneider. Typical cells in Poisson hyperplane
tessellations. Discrete Comput.
Geom. 38 (2007), 305-319.
pdf
38. D. Hug, R. Schneider. A stability result
for a
volume ratio.
37. D. Hug, R. Schneider. Asymptotic shapes of large cells in
random
tessellations. Geom. Funct. Anal. 17 (2007), 156-191.
pdf
36. D. Hug. Random mosaics. pp. 247--266. In: Baddeley, A.; Bárány, I.; Schneider, R.; Weil, W. Stochastic geometry. Edited by W. Weil. Lecture Notes in Mathematics, 1892. Springer-Verlag, Berlin, 2007.
pdf
2006
35. D. Hug. Modellieren und
Entscheiden bei
Ungewissheit (Stochastik in Klasse 11), 30
Seiten +
Anhang, Dokumentation einer Unterrichtseinheit im Rahmen der zweiten
Staatsprüfung für die Laufbahn des höheren Schuldienstes
an Gymnasien (18 monatiger
Vorbereitungsdienst), Landeslehrerprüfungsamt,
Regierungspräsidium Freiburg, Abteilung 7 und Staatliches Seminar
für Didaktik
und Lehrerbildung (Gymnasien) Freiburg, Freiburg, 05. Januar 2006. pdf
34. D. Hug, G. Last, W. Weil. Polynomial parallel volume,
convexity and contact distributions of random sets. Probab.
Theory and Relat. Fields 135
(2006),
169-200. pdf
2005
33. D. Hug, R. Schneider. Large Typical Cells in Poisson-Delaunay Mosaics, Rev. Roumaine
Math. Pures Appl.
50
(2005), 657-670. pdf
32. A. Colesanti and D. Hug.
Hessian measures
of convex functions and area measures. J. London Math. Soc. 71
(2005), 221-235. pdf
31. D. Hug, M. Reitzner.
Gaussian polytopes: variances and limit
theorems, Adv. Appl. Probab. 37
(2005), 297-320. pdf
30. D. Hug, E. Lutwak, Deane Yang, Gaoyong Zhang. On the
Minkowski problem for polytopes.
Discrete
Comput. Geom. 33 (2005),
699-715. pdf
29. J. Gates, D. Hug, R. Schneider. Valuations on convex sets of
oriented hyperplanes. Discrete Comput. Geom. 33 (2005), 57-65.
pdf
2004
28. D. Hug, G.O. Munsonius, M. Reitzner. Asymptotic mean values of Gaussian polytopes. Contributions to Algebra and
Geometry 45
(2004), 531-548. pdf
27. D. Hug, M. Reitzner, R.
Schneider. Large
Poisson-Voronoi cells and Crofton cells. Adv.
Appl. Probab.
36
(2004), 667-690. pdf
26. D. Hug, R. Schneider. Large cells in Poisson-Delaunay
tessellations. Discrete Comput. Geom.
31
(2004), 503-514.pdf
25. D. Hug, M. Reitzner, R.
Schneider. The
limit shape of the zero cell in a stationary Poisson hyperplane
tessellation. Ann. Probab. 32
(2004),
1140-1167. pdf
24. M. Heveling, D. Hug, G. Last.
Does
polynomial parallel volume imply convexity? Math. Ann. 328
(2004), 469-479. pdf
23. D. Hug, G. Last, W. Weil. A local Steiner-type formula for
general
closed sets and applications. Math. Z. 246 (2004),
237-272. pdf
2003
22. D. Hug, G. Last, W. Weil. Distance measurements on processes of
flats. Adv.
Appl. Probab.
35
(2003), 70-95. pdf
21. F. Gao, D. Hug, R. Schneider.
Intrinsic volumes
and polar sets in spherical space. Math. Notae
41 (2001/02), 159-176 (2003). pdf
2002
20. D. Hug, R. Schneider. Kinematic and
Crofton formulae
of integral geometry: recent variants and extensions. (Survey) pp.
51-80. Homenatge al professor Lluís Santaló
i. Sors:
22 de novembre de 2002 / C. Barceló
i Vidal (ed.), Girona:
Universitat de Girona.
Càtedra Lluís
Santaló
d'Aplicacions de la Matemàtica,
2002. pdf
19. D. Hug, R. Schneider. Stability results involving surface area measures of convex bodies. Rend. Circ. Mat. Palermo (2) Suppl. No. 70, part II
(2002), 21--51. pdf
18. D. Hug, G. Last, W. Weil. A survey on contact distributions. pp.
317-357. Statistical
Physics and Spatial Statistics, Lecture Notes in Physics 600,
Morphology of Condensed Matter, Physics and Geometry of Spatially
Complex
Systems, ed. by K. Mecke and D. Stoyan,
Springer, Berlin, 2002. pdf
17. D. Hug, G. Last, W. Weil. Generalized contact distributions of
inhomogeneous Boolean models. Adv. Appl.
Probab. 34 (2002), 21-47. pdf
16. D. Hug, P. Mani-Levitska and R. Schätzle. Almost transversal intersections
of convex
surfaces and translative integral
formulae. Math.
Nachr. 246-247 (2002),
121-155. pdf
15. D. Hug. Absolute continuity for curvature measures of convex sets
III. Adv.
Math. 169 (2002), 92-117. pdf
2001
14. D. Hug and R. Schätzle.
Intersections and translative integral
formulas for boundaries of convex
bodies. Math. Nachr. 226
(2001),
99-128. pdf
2000
13. D. Hug. Contact distributions of Boolean models. Rend. Circ. Mat. Palermo (2) Suppl. No. 65, part I (2000), 137--181. pdf
12. D. Hug and G. Last. On support measures in Minkowski
spaces and contact distributions in stochastic geometry. Ann. Probab. 28 (2000), 796-850. pdf
11. A. Colesanti and D. Hug. Hessian
measures of
semi-convex functions and applications to support measures of convex
bodies. Manuscripta Math.
101 (2000), 209-238.
pdf
10. A. Colesanti and D. Hug. Steiner type
formulae
and weighted measures of singularities for semi-convex functions. Trans.
Amer. Math. Soc. 352 (2000), 3239-3263. pdf
1999
9. D. Hug. Measures, curvatures and currents in convex geometry. Habilitationsschrift, Albert-Ludwigs-Universität
Freiburg, December 1999, 191 pp.
8. D. Hug. Absolute continuity for curvature measures of convex sets
II. Math.
Z. 232 (1999), 437-485. pdf
1998
7. D. Hug. Absolute continuity for curvature measures of convex
6. D. Hug. Generalized curvature measures and singularities of sets
with
positive reach. Forum Math. 10 (1998), 699-728. pdf
1996
5. D. Hug. Curvature relations and affine surface area for a general
convex
body and its polar. Results Math. 29 (1996), 233-248.
pdf
4. D. Hug. Contributions to affine surface area. Manuscripta
Math. 91 (1996), 283-301. pdf
1995
3. G. Dolzmann and D. Hug. Equality of two
representations of extended affine surface area. Arch. Math. 65
(1995), 352-356. pdf
2. D. Hug. On the mean number of normals
through a
point in the interior of a convex body. Geom.
Dedicata 55 (1995), 319-340. pdf
1994
1. D. Hug, Geometrische Maße in der affinen Konvexgeometrie. Dissertation, Freiburg, 1994, 256 pp.