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

• Daniel Hug and Rolf Schneider: Vectorial analogues of Cauchy's surface area formula.  arXiv:2307.12257v1.
• Pseudo-cones.  arXiv:2305.00452v1
  

• Random zonotopes and valuations. doi.org/10.1007/s00454-023-00514-z
• Daniel Hug and Rolf Schneider: Another look at threshold phenomena for random cones. Studia Sci. Math. Hungar. 58 (2021), 489-504.  doi.org/10.1556/012.2021.01513   pdf
• Rolf Schneider:  Minkowski type theorems for convex sets in cones.    Acta Math. Hungar. 164 (2021), 282-295.  SpringerLink  pdf
• Rolf Schneider: Random Gale diagrams and neighborly polytopes in high dimensions. Beitr. Algebra Geom.  67 (2021), 641-650  doi.org/10.1007/s13366-02000526-3   pdf
• Daniel Hug and Rolf Schneider: Threshold phenomena for random cones.    Discrete Comput. Geom. 67 (2022), 564-594.   doi.org/10.1007/s00605-020-01443-2 pdf
• Rolf Schneider: Separation bodies: a conceptual dual to floating bodies. Monatsh. Math. 193 (2020), 157-170. doi.org/ 10.1007/s00605-020-01443-2   pdf
• Daniel Hug and Rolf Schneider: Integral geometry of pairs of hyperplanes and lines. Arch. Math.115 (2020), 339-351.  doi.org/10.1007/s00013-020-01465-0  pdf
• Daniel Hug and Rolf Schneider: Poisson hyperplane processes and approximation of convex bodies.  Mathematika 66 (2020), 713-732.  pdf
• Rolf Schneider: Interaction of Poisson hyperplane processes and convex bodies.  J. Appl. Prob. 56 (2019), 1020-1032.  pdf
• Rolf Schneider: On a formula for the volume of polytopes. In: Geometric Aspects of Functional Analysis (Israel Seminar 2017-2019), vol. II, pp. 335-345, Lecture Notes Math. 2266, Springer, 2020.    pdf
• Rolf Schneider: Small faces in stationary Poisson hyperplane tessellations. Math. Nachr. 292 (2019), 1811-1822.  pdf
• Rolf Schneider: Conic support measures. J. Math. Anal. Appl. 471 (2019), 812-825  pdf
• Rolf Schneider: Polyhedral Gauss-Bonnet theorems and valuations. Beiträge Algebra Geom. 59 (2018), 199-210.  pdf
• Rolf Schneider: The polytopes in a Poisson hyperplane tessellation. Proc. Amer. Math. Soc. 149 (2021), 3105-3111.  doi.org/10.1090/proc/15146
• Rolf Schneider: A Brunn-Minkowski theory for coconvex sets of finite volume. Adv. Math. 332 (2018), 199-234.    pdf 
• Rolf Schneider: Intersection probabilities and kinematic formulas for polyhedral cones. Acta Math. Hungar.  155 (2018), 3-24.   pdf
• Rolf Schneider: The typical irregularity of virtual convex bodies. J. Convex Anal. 25 (2018), 103-118.  pdf
• Matthias Reitzner and Rolf Schneider: On the cells in a stationary Poisson hyperplane mosaic. Adv. Geom. 19 (2019), 145-150.  pdf
• Rolf Schneider: Combinatorial identities for polyhedral cones. St. Petersburg Math. J.  29 (2018), 209-221.  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
• Convex Cones. (Summer School "New Perspectives on Convex Geometry", Castro Urdiales, September 3 - 7, 2018).  pdf