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 and Wolfgang Weil: Stochastic and Integral Geometry.

• Daniel Hug and Rolf Schneider: Faces of Poisson-Voronoi mosaics.  pdf
• Daniel Hug and Rolf Schneider: Large faces in Poisson hyperplane mosaics.  Ann. Probab.   pdf
• Károly Bezdek and Rolf Schneider: Covering large balls with convex sets in spherical space. Beitr. Algebra Geom.  pdf
• Rolf Schneider: Vertex numbers of weighted faces in Poisson hyperplane mosaics.  pdf
• Rolf Schneider: Extremal properties of random mosaics. (Survey)  pdf
• Rolf Schneider: Verification of polytopes by brightness functions. Proc. Amer. Math. Soc.  pdf
• Károly J. Böröczky and Rolf Schneider: The mean width of circumscribed random polytopes. Canadian Math. Bull.  pdf
  

• Rolf Schneider: Weighted faces of Poisson hyperplane tessellations. Adv. Appl. Prob. (SGSA) 41 (2009), 682 -694.  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
• Rolf Schneider and Franz E. Schuster: Rotation invariant Minkowski classes of convex bodies. Mathematika  54 (2007), 1 - 13. pdf
• Rolf Schneider and Franz E. Schuster: Rotation equivariant Minkowski valuations. Int. Math. Res. Notices, Volume 2006, Article ID 72894, Pages 1 - 20.  pdf
• Daniel Hug, Rolf Schneider, and Ralph Schuster: The space of isometry covariant tensor valuations. St. Petersburg Math. J. 19 (2008), 137 - 158. pdf
• Károly Böröczky jr and Rolf Schneider: Circumscribed simplices of minimal mean width. Beitr. Algebra Geom. 48 (2007), 217 - 224. pdf
• Daniel Hug and Rolf Schneider: Typical cells in Poisson hyperplane tessellations. Discrete Comput. Geom. 38 (2007), 305 - 319. pdf
• José Pedro Moreno and Rolf Schneider: Intersection properties of polyhedral norms. Adv. Geom. 7 (2007), 391 - 402. pdf
• José Pedro Moreno and Rolf Schneider: Continuity properties of the ball hull mapping. Nonlinear Anal. 66 (2007), 914 - 925.  pdf
• Rolf Schneider: Stable determination of convex bodies from projections. Monatsh. Math. 150 (2007), 241 - 247. pdf
• Rolf Schneider: Crofton measures in polytopal Hilbert geometries. Beitr. Algebra Geom. 47 (2006), 479 - 488. pdf
• Daniel Hug and Rolf Schneider: A stability result for a volume ratio. Israel J. Math. 161 (2007), 209-219.  pdf
• Rolf Schneider: Crofton measures in projective Finsler spaces. In: Integral Geometry and Convexity (Proc. Int. Conf., Wuhan, China, Oct. 2004; eds. E.L. Grinberg, S. Li, G. Zhang, J. Zhou), World Scientific, New Jersey, 2006, pp. 67 - 98. pdf
• Daniel Hug and Rolf Schneider: Asymptotic shapes of  large cells in random tessellations. Geom. Funct. Anal. 17 (2007), 156 - 191. pdf
• Daniel Hug and Rolf Schneider: Large typical cells in Poisson-Delaunay mosaics. Rev. Roumaine Math. Pures Appl. 50 (2005), 657 - 670. pdf
• Rolf Schneider and Ralph Schuster: Particle orientation from section stereology. Rend. Circ. Mat. Palermo  (2) Suppl. 77 (2006), 623 - 633. pdf
• John Gates, Daniel Hug and Rolf Schneider: Valuations on convex sets of oriented hyperplanes. Discrete Comput. Geom. 33 (2005), 57 - 65.  pdf,
• Daniel Hug, Matthias Reitzner and Rolf Schneider: Large Poisson-Voronoi cells and Crofton cells. Adv. Appl. Prob. (SGSA) 36 (2004), 667 - 690. pdf
• Daniel Hug and Rolf Schneider: Large cells in Poisson-Delaunay tessellations. Discrete Comput. Geom. 31 (2004), 503 - 514. pdf
• Daniel Hug, Matthias Reitzner and Rolf Schneider: The limit shape of the zero cell in a stationary Poisson hyperplane tessellation.  Ann. Probab. 32  (2004), 1140 - 1167. pdf
  
• Rolf Schneider: Discrete aspects of stochastic geometry. In "Handbook of Discrete and Computational Geometry" (J.E. Goodman, J. O'Rourke, eds.), 2nd ed., Chapman & Hall/CRC, Boca Raton 2004, pp. 255 - 278. pdf (updated version of a Handbook article)