Webrelaunch 2020

Publications (since 2004)


Böröczky, K., Fodor, F., Hug, D. The mean width of random polytopes circumscribed around a convex body. J. London Math. Society (to appear).

Böröczky, K., Hug D. Stability of the reverse Blaschke-Santalo inequality for zonoids and applications. Adv. in Appl. Math. (to appear).

Goodey, P., Kiderlen, M., Weil. W. Spherical projections and liftings in geometric tomography. Advances in Geometry (to appear).

Goodey, P., Weil, W. Generalized averages of section and projection functions. Advances Appl. Math. 44, 111-123.

Hoffmann, L.M. Measures on the space of convex bodies. Advances in Geometry (to appear).

Hörig, M., Redenbach, C. The maximum volume hard subset model for Poisson processes. Submitted.

Hug, D., Schneider R. Faces in Poisson-Voronoi mosaics. Submitted.

Hug, D., Schneider R. Large faces in Poisson hyperplane mosaics. Ann. Probab. (to appear).

Schneider, R., Weil, W. Classical stochastic geometry. In: New Perspectives in Stochastic Geometry, eds. W.S. Kendall und I. Molchanov, 1-42. Oxford Univ. Press, Oxford.

Winter, S. Geometric measures for fractals. In: Recent developments in fractals and related fields, J. eds. J. Barral, S. Seuret, Birkhäuser. (to appear)

Winter, S., Rataj, J. On volume and surface area of parallel sets. Preprint 2009. Submitted.

Winter, S., Pearse, E. Geometry of canonical self-similar tilings. Rocky Mountain J. Math. (to appear).


Hoferer, J., Hoffmann, L.M., Goebbels, J., Last, G., Weil, W., Kasper, G. Reconstruction algorithms for the internal packing density distribution of fibrous filter media based on tomographic data. Filtration 9, 147–154.

Hoffmann, L.M. Mixed measures of convex cylinders and their applications in stochastic geometry. Acta Appl. Math. 105, 141-156.

Hoffmann, L.M. Estimating an even spherical measure from its sine transform. Appl. Math. 54, 67-78.

Hug, D. Nakajima's problem for general convex bodies. Proc. Amer. Math. Soc. 137, 255-263.


Böröczky, K., Hoffmann, L.M., Hug, D. Expectation of mean projections of random polytopes. Periodica Mathematica Hungarica 57, 143-164.

Hoffmann, L.M. On weak stationarity and weak isotropy of processes of convex bodies and cylinders. Adv. Appl. Prob. 39, 865-882.

Hug, D., Schneider, R., Schuster, R. Integral geometry of tensor valuations. Adv. in Appl. Math. 41, 482-509.

Hug, D., Schneider, R., Schuster, R. The space of isometry covariant tensor valuations. Algebra i Analiz 19, 137-158, and St. Petersburg Math. J. 38, 305-319.

Khmaladze, E., Weil, W. Empirical processes near boundaries of convex bodies. Ann. Inst. Stat. Math. 60, 813-842.

Schneider, R., Weil, W. Stochastic and Integral Geometry. Springer, Berlin, Heidelberg.

Winter, S. Curvature measures and fractals. Diss. Math. 453, 1-66.


Baddeley, A., Bárány, I., Schneider, R., Weil,W. Stochastic Geometry. Martina Franca, Italy 2004. Lecture Notes in Mathematics 1892, Springer, Berlin, Heidelberg.

Hoffmann, L.M. Intersection densities of nonstationary Poisson processes of hypersurfaces. Adv. in Appl. Probab. 39, 307-317.

Howard, R., Hug, D. Smooth convex bodies with proportional projection functions. Israel J. Math. 159, 317-341.

Howard, R., Hug, D. Nakajima's problem: convex bodies of constant width and constant brightness. Mathematika 54, 15-24.

Hug, D. Random mosaics. In: Baddeley, A.; Bárány, I.; Schneider, R.; Weil, W. Stochastic geometry. Edited by W. Weil, 247-266. Lecture Notes in Mathematics, 1892. Springer-Verlag, Berlin.

Hug, D., Schneider, R. Typical cells in Poisson hyperplane tessellations. Discrete Comput. Geom. 38, 305-319.

Hug, D., Schneider, R. Asymptotic shapes of large cells in random tessellations. Geom. Funct. Anal. 17, 156-191.

Hug, D., Schneider, R. A stability result for a volume ratio. Israel J. Math. 161, 209-219.

Weil, W. Random sets (in particular Boolean models). In: Stochastic Geometry. Martina Franca, Italy 2004 (W. Weil, ed.), 185-245, Lecture Notes in Mathematics 1892, Springer, Berlin.

Winter, S., Llorente, M. A notion of Euler characteristic for fractals, Math. Nachr. 280, 152-170.

Winter, S., Olsen, L. Multifractal analysis of divergence points of deformed measure theoretical Birkhoff averages. II: Non-linearity, divergence points and Banach space valued spectra, Bull. Sci. Math. 131, no. 6, 518-558.


Goodey, P., Weil, W. Directed projection functions of convex bodies. Monatsh. Math. 149, 43-64, 65 (Erratum).

Goodey, P., Weil, W. Average section functions for star-shaped sets. Adv. Appl. Math. 36, 70-84.

Goodey, P., Weil, W. Determination of convex bodies by directed projection functions. Mathematika 53, 49-69.

Hug, D., Last, G., Weil, W. Polynomial parallel volume, convexity and contact distributions of random sets. Probability Theory and Related Fields 135, 169-200.

Kiderlen, M. Estimating the Euler characteristic of a planar set from a digital image. J. Vis. Commun. Image R. 17, 1237-1255.

Kiderlen, M., Rataj, J. On infinitesimal increase of volumes of morphological transforms. Mathematika 53, 103-127.

Weil, W. Contact distributions of Boolean models. In: Proceedings S^4G. International Conference on Stereology, Spatial Statistics and Stochastic Geometry held in Prague, June 26-29, 2006 (R. Lechnerová, I. Saxl, V. Benes, eds.), 41-51, Union Czech Math. Phys..

Yonsdottir, K.Y., Hoffmann, L.M., Hobolth, A., Jensen, E.B.V. On error prediction in circular systematic sampling, J. Microsc. 222, 212-216.


Colesanti, A., D. Hug. Hessian measures of convex functions and area measures. J. London Math. Soc. 71), 221-235.

Gates, J., Hug, D., Schneider, R. Valuations on convex sets of oriented hyperplanes. Discrete Comput. Geom. 33, 57-65.

Hug, D., Schneider, R. Large Typical Cells in Poisson-Delaunay Mosaics. Rev. Roumaine Math. Pures Appl. 50, 657-670.

Hug, D., Reitzner, M. Gaussian polytopes: variances and limit theorems. Adv. Appl. Probab. 37, 297-320.

Hug, D., Lutwak, E. Yang, D., Zhang, G. On the Lp Minkowski problem for polytopes. Discrete Comput. Geom. 33, 699-715.

Kiderlen, M., Pfrang, A. Algorithms to estimate the rose of directions of a spatial fibre system. J. Microsc. 219, 50-60.


Gutkowski, P., Jensen, E.B.V., Kiderlen, M. Directional analysis of digitized 3D images by configuration counts. J. Microsc. 216, 175-185.

Heveling, M., Hug, D., Last, G. Does polynomial parallel volume imply convexity? Math. Ann. 328, 469-479.

Hug, D., Munsonius, G.O., Reitzner, M. Asymptotic mean values of Gaussian polytopes. Contributions to Algebra and Geometry 45, 531-548.

Hug, D., Reitzner, M., Schneider, R. Large Poisson-Voronoi cells and Crofton cells. Adv. in Appl. Probab. 36, 667-690.

Hug, D., Schneider, R. Large cells in Poisson-Delaunay tessellations. Discrete Comput. Geom. 31, 503-514.

Hug, D., Reitzner, M., Schneider, R. The limit shape of the zero cell in a stationary Poisson hyperplane tessellation. Ann. Probab. 32, 1140-1167.

Hug, D., Last, G., Weil, W. A local Steiner-type formula for general closed sets and applications. Math. Z. 246, 237-272.