Homepage: Daniel Hug


 

Prof. Dr. Daniel Hug

        

Universität Duisburg-Essen

Campus Essen

Fachbereich Mathematik

D-45117 Essen

Germany

 

Visiting Address:

                     Tel.:

0049 (0) 201 183 3558

Universitätsstr. 2

                     Fax:

0049 (0) 201 183 4348

Raum: T03 R04 C22

                     E-mail:

daniel.hug@uni-due.de

D-45141 Essen

 

 

Nächste Sprechstunde: Dienstag, 18.09.2007, 15-16 Uhr & n.V.



Sekretariat:
Gabriele Hahn
Raum:
T03 R04 C19
Tel:

0049 (0) 201 183 4297


Daniel Hug

 

Veranstaltungen im Wintersemester 2007/08:

Stochastik für Lehramtsstudierende & Übungen        [Skript, Aufgaben, Klausur]
Seminar: Modellierung für Lehramtsstudierende            [Details]
Teilnahme am Seminar ist nur nach persönlicher Anmeldung bis zum 28.09.2007 möglich!







  Veranstaltungen im Sommersemester 2007:

 

  Modellierung für Lehramtsstudierende & Übungen        [Skript, Aufgaben, Klausur]

  Proseminar: Stochastik für Lehramtsstudierende           [Details]

 


 

Frühere Veranstaltungen:

 

Vorlesung WS 2000/01

Vorlesung SS 2001

Proseminar SS 2001

Vorlesung WS 2001/02

Seminar WS 2001/02

Vorlesung Konvexgeometrie II, SS 2002 (SkriptumKGII.ps .pdf)

Proseminar SS 2002

Vorlesung Geometrie, WS 2002/03 (SkriptGeo.ps .pdf)

Diskrete Algebraische Strukturen SS 2003

Analysis III WS 2003/04

Diskrete Algebraische Strukturen SS 2004

Mathematik I für Ingenieure und Informatiker WS 2004/05

Zufällige Graphen WS 2004/05



CV




 


July 12, 2007

Publications


2007
44.
D. Hug. Nakajima's problem for general convex bodies (submitted). pdf
43. D. Hug, R. Schneider, R. Schuster. Integral geometry of tensor valuations (submitted).pdf
42. D. Hug, R. Schneider, R. Schuster. The space of isometry covariant tensor valuations.
Algebra i Analiz (to appear). pdf
41. R. Howard, D. Hug. Nakajima's problem: convex bodies of constant width and constant brightness. Mathematika (to appear). pdf
40. R. Howard, D. Hug. Smooth convex bodies with proportional projection functions. Israel J. Math. (to appear), 17 pp.
pdf
39. D. Hug, R. Schneider. Typical cells in Poisson hyperplane tessellations. Discrete Comput. Geom. (to appear), 16 pp. pdf
38.
D. Hug, R. Schneider. A stability result for a volume ratio. Israel J. Math. (to appear), 11 pp. pdf
37. D. Hug, R. Schneider. Asymptotic shapes of large cells in random tessellations. Geom. Funct. Anal. 17 (2007), 156-191. pp. pdf


2006
36. 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.
35.
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
34. D. Hug, R. Schneider. Large Typical Cells in Poisson-Delaunay Mosaics, Rev. Roumaine Math. Pures Appl. 50 (2005), 657-670.
pdf
33. A. Colesanti and D. Hug. Hessian measures of convex functions and area measures. J. London Math. Soc. 71 (2005), 221-235.
pdf
32. D. Hug. Random Mosaics, Survey Paper, to appear in C.I.M.E. Lecture Notes, 22 pp. 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 Lp
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 70 (2002), 21-51.
pdf
18. D. Hug, G. Last, W. Weil. A survey on contact distributions. 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 65 (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 sets I. Math. Nachr. 195 (1998), 139-158.
pdf
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.
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.


1994
1. D. Hug, Geometrische Maße in der affinen Konvexgeometrie. Dissertation, Freiburg, 1994, 256 pp.

 


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