Albert-Ludwigs-Universität Freiburg Mathematisches Institut Arbeitsgruppe Geometrie

Prof. em. Dr. Dr. h.c. Rolf Schneider

Mathematisches Institut

email: rolf.schneider@math.uni-freiburg.de

• Imre Bárány  and Rolf Schneider: Typical curvature behaviour of bodies of constant width. (submitted), arXiv:1404.7019  pdf
• Imre Bárány, Daniel Hug and Rolf Schneider: Affine diameters of convex bodies. (submitted), arXiv:1403.7158  pdf
• Rolf Schneider: A formula for mixed volumes. (accepted)  pdf
• José Pedro Moreno and Rolf Schneider: Some geometry of convex bodies in C(K) spaces. J. Math. Pures Appl. (in press), http://dx.doi.org/10.1016/j.matpur.2014.04.007  pdf
• Daniel Hug and Rolf Schneider: Hölder continuity of normal cycles and of support measures of convex bodies (submitted), arXiv:13101514  pdf
• Dan Florentin, Vitali Milman and Rolf Schneider: A characterization of the mixed discriminant. Proc. Amer. Math. Soc. (in press), arXiv:1309.4798  pdf
• Rolf  Schneider: Curvatures of typical convex bodies  - The complete picture. Proc. Amer. Math. Soc. (in press) pdf
• Rolf Schneider: Affine surface area and convex bodies of elliptic type. Periodica Math. Hungar. (in press)   pdf
  
• Daniel Hug and Rolf Schneider: Approximation properties of random polytopes associated with Poisson hyperplane processes. Adv. Appl. Prob.  (in press),   arXiv.13093989   pdf

• Daniel Hug and Rolf Schneider: Local tensor valuations. Geom. Funct. Anal. (in press), DOI: 10.1007/s00039-014-0289-0  pdf
• José Pedro Moreno and Rolf Schneider: Lipschitz selections of the diametric completion mapping in Minkowski spaces.  Adv. Math. 233 (2013), 248-267.  pdf
• Imre Bárány and Rolf Schneider: Universal points of convex bodies and bisectors in Minkowski spaces. Adv. Geom. 14 (2014), 427-445.   pdf
• Rolf Schneider: Local tensor valuations on  convex polytopes. Monatsh. Math. 171 (2013), 459-479.  pdf
• José Pedro Moreno and Rolf Schneider: Structure of the space of diametrically complete sets in a Minkowski space. Discrete Comput. Geom.  48 (2012), 467-486.  SpringerLink   pdf 
• Daniel Hug and Rolf Schneider: Reverse inequalities for zonoids and their application. Adv. Math. 228 (2011), 2634-2646.  pdf
• José Pedro Moreno and Rolf Schneider: Diametrically complete sets in Minkowski spaces. Israel. J. Math. 191 (2012), 701-720.  pdf
• Vitali Milman and Rolf Schneider: Characterizing the mixed volume. Adv. Geom. 11 (2011), 669--689.  pdf
• José Pedro Moreno and Rolf Schneider:  Local Lipschitz continuity of the diametric completion mapping. Houston J. Math. 38 (2012), 1207-1223. pdf
• Daniel Hug and Rolf Schneider: Faces with given directions  in anisotropic Poisson hyperplane tessellations. Adv. Appl. Prob. 43 (2011), 308-321. pdf
• Rolf Schneider: Stability for some extremal properties of the simplex. J. Geom. 96 (2009), 135-148.  pdf
• Daniel Hug and Rolf Schneider: Faces of Poisson-Voronoi mosaics. Probab. Theory Related Fields 151 (2011), 125-151. pdf
• Daniel Hug and Rolf Schneider: Large faces in Poisson hyperplane mosaics.  Ann. Probab. 38 (2010), 1320-1344. pdf
• Károly Bezdek and Rolf Schneider: Covering large balls with convex sets in spherical space. Beitr. Algebra Geom. 51 (2010), 229-235. pdf
• Rolf Schneider: Vertex numbers of weighted faces in Poisson hyperplane mosaics.  Discrete Comput. Geom.  44  (2010), 599-907.  pdf
• Rolf Schneider: Extremal properties of random mosaics.  In Geometry - Intuitive, Discrete, and Convex. A Tribute to László Fejes Tóth  (I. Bárány, K. J. Böröczky, G. Fejes Tóth, J. Pach, eds), Bolyai Soc. Math. Studies 24, pp. 301-330, Springer, Berlin, 2013.  pdf
• Károly J. Böröczky and Rolf Schneider: The mean width of circumscribed random polytopes. Canadian Math. Bull.  53 (2010), 614-628. pdf

• Integral Geometry - Measure Theoretic Approach and Stochastic Applications (part of  an Advanced Course on Integral Geometry, Centre de Recerca Matemàtica, Bellaterra (Spain); September 15 - 23, 1999. Quaderns núm. 16 (1999), 159 - 227)  pdf
  
• Convexity and Geometric Probabilities (Lecture Series, University of Heraklion, Crete, March - April, 2001)  pdf
  
• Integral Geometric Tools for Stochastic Geometry  (part of a C.I.M.E. Summer School on Stochastic Geometry, Martina Franca, September 13 - 18, 2004) pdf
• Convexity in Stochastic Geometry (part of a Winter School on Probabilistic Methods in High Dimensions, Toulouse, January 10 - 14, 2005) pdf
• Simplices (Educational talks in the Research Semester on Geometric Methods in Analysis and Probability, Erwin Schrödinger Institute, Vienna, July 2005) pdf
• The use of spherical harmonics in convex geometry (Summer school on  "Fourier analytic and probabilistic methods in geometric functional analysis and convexity", Kent State University, August 13-20, 2008)  pdf