Wissenschaftliche Artikel

Reitzner, M., & Temesvari, D. (2024). Stars of empty simplices. Illinois Journal of Mathematics, 68(1), 87–109. https://doi.org/10.1215/00192082-11081246 ( reposiTUm)
Alonso-Gutiérrez, D., Besau, F., Grote, J., Kabluchko, Z., Reitzner, M., Thäle, C., Vritsiou, B.-H., & Werner, E. (2021). Asymptotic normality for random simplices and convex bodies in high dimensions. Proceedings of the American Mathematical Society, 149(1), 355–367. https://doi.org/10.1090/proc/15232 ( reposiTUm)
Ludwig, M., & Reitzner, M. (2017). SL(n) invariant valuations on polytopes. Discrete & Computational Geometry, 57(3), 571–581. https://doi.org/10.1007/s00454-016-9838-7 ( reposiTUm)
Ludwig, M., & Reitzner, M. (2010). A classification of SL(n) invariant valuations. Annals of Mathematics, 172(2), 1219–1267. http://hdl.handle.net/20.500.12708/167504 ( reposiTUm)
Heveling, M., & Reitzner, M. (2009). Poisson-Voronoi approximation. Annals of Applied Probability, 19(2), 719–736. http://hdl.handle.net/20.500.12708/165290 ( reposiTUm)
Ludwig, M., & Reitzner, M. (2006). Elementary moves on triangulations. Discrete & Computational Geometry, 35, 527–536. http://hdl.handle.net/20.500.12708/172006 ( reposiTUm)
Reitzner, M., & Hug, D. (2005). Gaussian polytopes: variances and limit theorems. Advances in Applied Probability, 37, 297–320. http://hdl.handle.net/20.500.12708/171851 ( reposiTUm)
Reitzner, M. (2005). Central limit theorems for random polytopes. Probability Theory and Related Fields, 133, 483–507. http://hdl.handle.net/20.500.12708/171850 ( reposiTUm)
Reitzner, M., Hug, D., & Munsonius, G. O. (2004). Asymptotic mean values of Gaussian polytopes. Contributions to Algebra and Geometry, 45, 531–548. http://hdl.handle.net/20.500.12708/174506 ( reposiTUm)
Reitzner, M. (2004). Stochastical approximation of smooth convex bodies. Mathematika, 51, 11–29. http://hdl.handle.net/20.500.12708/174505 ( reposiTUm)
Reitzner, M., & Hansen, J. (2004). Electromagnetic wave propagation and inequalities for moments of chord lengths. Advances in Applied Probability, 36, 987–995. http://hdl.handle.net/20.500.12708/174509 ( reposiTUm)
Reitzner, M., Hug, D., & Schneider, R. (2004). Large Poisson-Voronoi cells and Crofton cells. Advances in Applied Probability, 36, 667–690. http://hdl.handle.net/20.500.12708/174508 ( reposiTUm)

Präsentationen

Reitzner, M. (2008). Recent results on random polytopes. Math. Workshop, Universität Toulouse, Toulouse, EU. http://hdl.handle.net/20.500.12708/118733 ( reposiTUm)
Reitzner, M. (2008). The combinatorial structure of random polytopes. Vortrag an der Universität Magdeburg, Magdeburg, EU. http://hdl.handle.net/20.500.12708/118736 ( reposiTUm)
Reitzner, M. (2008). Klassifikation von Bewertungen. Tag der Geometrie, Universität Wien, Wien, Austria. http://hdl.handle.net/20.500.12708/118734 ( reposiTUm)
Reitzner, M. (2008). Poisson-Punkt-Prozesse. Universität Osnabrück, Osnabrück, Deutschland, Austria. http://hdl.handle.net/20.500.12708/118735 ( reposiTUm)
Reitzner, M. (2007). Classification of valuations. Math. Kolloquium, Univ. Wien, Wien, Austria. http://hdl.handle.net/20.500.12708/118606 ( reposiTUm)
Reitzner, M. (2007). Extremes of normal samples. Winter School “Geometric Measure Theory, Random Sets and Digital Stereology,” Sonderborg, Sandbjerg Estate, EU. http://hdl.handle.net/20.500.12708/118172 ( reposiTUm)
Reitzner, M. (2007). Poisson-Punkt-Prozesse. Universität Dortmund, Dortmund, Deutschland, Austria. http://hdl.handle.net/20.500.12708/118737 ( reposiTUm)
Reitzner, M. (2007). Tail inequalities for random polytopes. Vortrag an der University of Oxford, Oxford, EU. http://hdl.handle.net/20.500.12708/118740 ( reposiTUm)
Reitzner, M. (2007). Recent developments for random polytopes. Vortrag an der University Cambridge, Cambridge, EU. http://hdl.handle.net/20.500.12708/118739 ( reposiTUm)
Reitzner, M. (2007). Random polytopes. Vortrag an der London School of Economics, London, EU. http://hdl.handle.net/20.500.12708/118738 ( reposiTUm)
Reitzner, M. (2007). Tail inequalities for random polytopes. 3rd Annual Conference of the Network “ Phenomena in High Dimensions,” Samos, EU. http://hdl.handle.net/20.500.12708/118744 ( reposiTUm)
Reitzner, M. (2007). Poisson-Voronoi approximation. 14th Workshop on Stochastic Geometry, Stereology and Image Analysis, Neudietendorf, EU. http://hdl.handle.net/20.500.12708/118741 ( reposiTUm)
Reitzner, M. (2007). A classification of SL(n) invariant valuations. Workshop on Convex Geometry - Analytic Aspects, Cortona, EU. http://hdl.handle.net/20.500.12708/118742 ( reposiTUm)
Reitzner, M. (2007). Poisson-Voronoi approximation. AMS Sectional Meeting, Hoboken, New Jersey, Non-EU. http://hdl.handle.net/20.500.12708/118743 ( reposiTUm)
Reitzner, M. (2006). Elementary moves on triangulations. 2nd Annual Conference “Phenomena in High Dimensions,” Paris, EU. http://hdl.handle.net/20.500.12708/117822 ( reposiTUm)
Reitzner, M. (2006). Recent results on random convex hulls. Mathematisches Kolloquium der Universität Zürich, Zürich, Non-EU. http://hdl.handle.net/20.500.12708/117821 ( reposiTUm)
Reitzner, M. (2006). Random polytopes. Mathematisches Kolloquium der Universität Karlsruhe, Karlsruhe, EU. http://hdl.handle.net/20.500.12708/117891 ( reposiTUm)
Reitzner, M. (2006). Elementary introduction to random tesselations. Educational Workshop on Convexity and Probability, Freudenstadt, EU. http://hdl.handle.net/20.500.12708/117892 ( reposiTUm)
Reitzner, M. (2006). Random approximation of convex sets. Mathematisches Forschungsinstitut Oberwolfach, Austria. http://hdl.handle.net/20.500.12708/118117 ( reposiTUm)
Reitzner, M. (2005). Course on stochastic geometry. Universität Alicante, Alicante, Austria. http://hdl.handle.net/20.500.12708/117446 ( reposiTUm)
Reitzner, M. (2005). Random convex hulls: moments and limit theorems. Workshop on Stochastic Geometry and Spatial Statistics, Freudenstadt, Austria. http://hdl.handle.net/20.500.12708/117445 ( reposiTUm)
Reitzner, M. (2004). Grenzwertsätze für die konvexe Hülle von zufälligen Punkten. Universität Saarbrücken, Saarbrücken, Deutschland, Austria. http://hdl.handle.net/20.500.12708/116876 ( reposiTUm)
Reitzner, M. (2004). Electromagnetic wave propagation and inequalities for moments of chord lengths. 5. Conferenza Internazionale su geometria stocastica, corpi convessi, misure empiriche & applicazioni alle scienze ingegneristice, mediche e della ferrovia, Palermo, Austria. http://hdl.handle.net/20.500.12708/116875 ( reposiTUm)
Reitzner, M. (2004). Limit theorems for Gaussian polytopes. Conference on Gaussian Measures, Snowbird, Utah, Austria. http://hdl.handle.net/20.500.12708/116772 ( reposiTUm)
Reitzner, M. (2004). Random points in convex bodies. Minikolloquium aus Konvexgeometrie, TU Wien, Austria. http://hdl.handle.net/20.500.12708/116770 ( reposiTUm)
Reitzner, M. (2004). Stochastische Geometrie. Wissenswertes aus der Mathematik, TU Wien, Wien, Austria. http://hdl.handle.net/20.500.12708/116771 ( reposiTUm)
Reitzner, M. (2004). Asymptotic mean values of Gaussian polytopes. AMS-Tagung, Lawrenceville, NJ, Austria. http://hdl.handle.net/20.500.12708/116769 ( reposiTUm)
Reitzner, M. (2003). Limit theorems for convex hulls of random points. 3rd International Workshop on Convex Geometry - Analytic Aspects, Cortona, Austria. http://hdl.handle.net/20.500.12708/116777 ( reposiTUm)
Reitzner, M. (2003). The combinatorial structure of random polytopes. Conference on Banach Spaces and Convex Geometric Analysis, Kiel, Austria. http://hdl.handle.net/20.500.12708/116776 ( reposiTUm)
Reitzner, M. (2003). Limit theorems for convex hulls of random points. ÖMG Tagung 2003, Bozen, Austria. http://hdl.handle.net/20.500.12708/116768 ( reposiTUm)
Reitzner, M. (2002). Random polytopes and the Efron-Stein jackknife inequality. Conference on Convex Geometric Analysis, Banff, Alberta, Austria. http://hdl.handle.net/20.500.12708/116774 ( reposiTUm)
Reitzner, M. (2002). Die kombinatorische Struktur zufälliger Polytope. DMV-Tagung 2002, Halle, Austria. http://hdl.handle.net/20.500.12708/116775 ( reposiTUm)
Reitzner, M. (2002). Stochastische Approximation konvexer Mengen. Universität Salzburg, Salzburg, Austria. http://hdl.handle.net/20.500.12708/116767 ( reposiTUm)
Reitzner, M. (2001). Habilitationsvortrag: Zufallspolytope. Technische Universität Wien, Austria. http://hdl.handle.net/20.500.12708/116773 ( reposiTUm)
Reitzner, M. (2001). Intrinsic volumes of random polytopes and the convex floating body. Polytechnic Univ., Brooklyn, Colloquiua, New York, Austria. http://hdl.handle.net/20.500.12708/115892 ( reposiTUm)
Reitzner, M. (2001). Mean values of intrinsic volumes of random polytopes. Workshop on Convex and Discrete Geometry, Hung. Acad.of Sciences, Budapest, Austria. http://hdl.handle.net/20.500.12708/115890 ( reposiTUm)
Reitzner, M. (2001). Asymptotic expansions for functionals of random polytopes. Convex Geometry, Oberwolfach, Math. Forschungszentrum Oberwolfach, Austria. http://hdl.handle.net/20.500.12708/115891 ( reposiTUm)
Reitzner, M. (2001). Approximation konvexer Körper durch umschriebene Polynome. Univ. Freiburg, Kolloquia, Freiburg, Austria. http://hdl.handle.net/20.500.12708/115895 ( reposiTUm)
Reitzner, M. (2001). Stochastical approximation of smooth convex bodies. Convex Geometric Analysis, Kreta, Austria. http://hdl.handle.net/20.500.12708/115893 ( reposiTUm)
Reitzner, M. (2001). Stochastische Approximation konvexer Körper. 15. ÖMG Kongreß, Vienna, Austria, Austria. http://hdl.handle.net/20.500.12708/115894 ( reposiTUm)
Reitzner, M. (2000). On Crofton’s boundary theorem for the convex hull of random points. Sectional meeting of the AMS: Invariance in Convex Geometry, Lowell, Massachusetts, Austria. http://hdl.handle.net/20.500.12708/116766 ( reposiTUm)

Preprints

Besau, F. G., Gusakova, A., Reitzner, M., Schütt Carsten, Thäle, C., & Werner Elisabeth. (2022). Spherical convex hull of random points on a wedge. arXiv. https://doi.org/10.48550/arXiv.2203.07916 ( reposiTUm)

Hochschulschriften

Reitzner, M. (2001). The floating body and the equiaffine inner parallel curve of a plane convex body [Professorial Dissertation, Technische Universität Wien]. reposiTUm. http://hdl.handle.net/20.500.12708/179032 ( reposiTUm)