Albert-Ludwigs-Universität Freiburg Mathematisches Institut Arbeitsgruppe Geometrie

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

Mathematisches Institut

Tel.: (0761) 203-5554                                                                                                                                 
Fax: (0761) 203-5541
email: rolf.schneider@math.uni-freiburg.de

• 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

• 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. (to appear)   pdf
  
• Daniel Hug and Rolf Schneider: Approximation properties of random polytopes associated with Poisson hyperplane processes. (submitted) pdf
• Imre Bárány and Rolf Schneider: Universal points of convex bodies and bisectors in Minkowski spaces. Adv. Geom. (to appear)  pdf
• Rolf Schneider: Local tensor valuations on  convex polytopes. Monatsh. Math. (to appear)  pdf
• Rolf Schneider: Extremal properties of random mosaics. (Survey)  (to appear)  pdf

• José Pedro Moreno and Rolf Schneider: Lipschitz selections of the diametric completion mapping in Minkowski spaces.  Adv. Math. 233 (2013), 248-267.  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: Weighted faces of Poisson hyperplane tessellations. Adv. Appl. Prob. (SGSA) 41 (2009), 682-694.  pdf
• Rolf Schneider: Verification of polytopes by brightness functions. Proc. Amer. Math. Soc. 137 (2009), 3899 3903.  pdf
• Károly J. Böröczky and Rolf Schneider: The mean width of circumscribed random polytopes. Canadian Math. Bull.  53 (2010), 614-628. pdf
• Rolf Schneider: Recent results on random polytopes. (Survey) Boll. Un. Mat. Ital., Ser. (9), 1 (2008), 17 - 39.  pdf
• Rolf Schneider: The endomorphisms of the lattice of closed convex cones. Beitr. Algebra Geom.  49 (2008), 541 - 547.  pdf
• Daniel Hug, Rolf Schneider, and Ralph Schuster:  Integral geometry of tensor valuations. Adv. in Appl. Math. 41 (2008), 482 - 509.  pdf
• Károly J. Böröczky and Rolf Schneider: A characterization of the duality mapping for convex bodies. Geom. Funct. Anal. 18 (2008), 657 - 667.   pdf
• Károly J. Böröczky and Rolf Schneider: Stable determination of convex bodies from sections. Studia Sci. Math. Hungar. 46 (2009), 367 -376.  pdf