Wissenschaftliche Artikel

Colesanti, A., Ludwig, M., & Mussnig, F. (2023). The Hadwiger theorem on convex functions, IV: The Klain approach. Advances in Mathematics, 413, Article 108832. https://doi.org/10.1016/j.aim.2022.108832 ( reposiTUm)
Artstein, S., Barthe, F., & Ludwig, M. (2022). Convex Geometry and its Applications. Oberwolfach Reports, 18(4), 3187–3266. https://doi.org/10.4171/OWR/2021/59 ( reposiTUm)
Colesanti, A., Ludwig, M., & Mussnig, F. (2022). The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge-Ampère measures. Calculus of Variations and Partial Differential Equations, 61(5), 181. https://doi.org/10.1007/s00526-022-02288-3 ( reposiTUm)
Haddad, J., & Ludwig, M. (2022). Affine fractional L^p Sobolev inequalities. Mathematische Annalen, 388(1), 1091–1115. https://doi.org/10.1007/s00208-022-02540-3 ( reposiTUm)
Colesanti, A., Ludwig, M., & Mussnig, F. (2020). A homogeneous decomposition theorem for valuations on convex functions. Journal of Functional Analysis, 279(108573), 108573. https://doi.org/10.1016/j.jfa.2020.108573 ( reposiTUm)
Colesanti, A., Ludwig, M., & Mussnig, F. (2020). Hessian valuations. Indiana University Mathematics Journal, 69(4), 1275–1315. https://doi.org/10.1512/iumj.2020.69.7960 ( reposiTUm)
Colesanti, A., Ludwig, M., & Mussnig, F. (2019). Valuations on convex functions. International Mathematics Research Notices, 2019(8), 2384–2410. https://doi.org/10.1093/imrn/rnx189 ( reposiTUm)
Böröczky, K., & Ludwig, M. (2019). Minkowski valuations on lattice polytopes. Journal of the European Mathematical Society, 21(1), 163–197. https://doi.org/10.4171/jems/833 ( reposiTUm)
Besau, F., Ludwig, M., & Werner, E. (2018). Weighted floating bodies and polytopal approximation. Transactions of the American Mathematical Society, 370(10), 7129–7148. https://doi.org/10.1090/tran/7233 ( reposiTUm)
Ludwig, M., & Silverstein, L. (2017). Tensor valuations on lattice polytopes. Advances in Mathematics, 319, 76–110. https://doi.org/10.1016/j.aim.2017.08.015 ( 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)
Colesanti, A., Ludwig, M., & Mussnig, F. (2017). Minkowski valuations on convex functions. Calculus of Variations and Partial Differential Equations, 56(162). https://doi.org/10.1007/s00526-017-1243-4 ( reposiTUm)
Ludwig, M. (2014). Anisotropic fractional Sobolev norms. Advances in Mathematics, 252, 150–157. https://doi.org/10.1016/j.aim.2013.10.024 ( reposiTUm)
Ludwig, M. (2014). Anisotropic fractional perimeters. Journal of Differential Geometry, 96(1), 77–93. http://hdl.handle.net/20.500.12708/155247 ( reposiTUm)
Ludwig, M. (2013). Covariance matrices and valuations. Advances in Applied Mathematics, 51(3), 359–366. http://hdl.handle.net/20.500.12708/155244 ( reposiTUm)
Ludwig, M. (2012). Valuations on Sobolev spaces. American Journal of Mathematics, 134(3), 824–842. https://doi.org/10.1353/ajm.2012.0019 ( reposiTUm)
Ludwig, M. (2011). Valuations on function spaces. Advances in Geometry, 11(4), 745–756. https://doi.org/10.1515/advgeom.2011.039 ( reposiTUm)
Ludwig, M. (2011). Fisher information and matrix-valued valuations. Advances in Mathematics, 226(3), 2700–2711. https://doi.org/10.1016/j.aim.2010.08.021 ( reposiTUm)
Ludwig, M., Xiao, J., & Zhang, G. (2011). Sharp convex Lorentz-Sobolev inequalities. Mathematische Annalen, 350(1), 169–197. https://doi.org/10.1007/s00208-010-0555-x ( reposiTUm)
Ludwig, M. (2010). Minkowski areas and valuations. Journal of Differential Geometry, 86, 133–161. http://hdl.handle.net/20.500.12708/167040 ( reposiTUm)
Ludwig, M. (2010). General affine surface areas. Advances in Mathematics, 224, 2346–2360. http://hdl.handle.net/20.500.12708/167041 ( 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)
Ludwig, M., & Haberl, C. (2006). A characterization of Lₚ intersection bodies. International Mathematics Research Notices, 2006(10548), 1–29. http://hdl.handle.net/20.500.12708/172040 ( reposiTUm)
Ludwig, M., Schütt, C., & Werner, E. (2006). Approximation of the Euclidean ball by polytopes. Studia Mathematica, 173, 1–18. http://hdl.handle.net/20.500.12708/171934 ( 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)
Ludwig, M. (2006). Intersection bodies and valuations. American Journal of Mathematics, 128, 1409–1428. http://hdl.handle.net/20.500.12708/172007 ( reposiTUm)
Ludwig, M. (2005). Minkowski valuations. Transactions of the American Mathematical Society, 357, 4191–4213. http://hdl.handle.net/20.500.12708/171897 ( reposiTUm)
Ludwig, M. (2002). Valuations on Polytopes Containing the Origin in Their Interiors. Advances in Mathematics, 170, 239–256. http://hdl.handle.net/20.500.12708/174464 ( reposiTUm)
Ludwig, M. (2002). Moment vectors of polytopes. Rendiconti Del Circolo Matematico Di Palermo Series 2, SUPPL. 70, PART II, 123–138. http://hdl.handle.net/20.500.12708/174486 ( reposiTUm)

Beiträge in Tagungsbänden

Ludwig, M. (2023). Affine Hardy-Littlewood-Sobolev inequalities. In ÖMG Tagung 2023 Programme and Book of Abstracts (pp. 40–41). ( reposiTUm)
Ludwig, M. (2006). Valuations in the affine geometry of convex bodies. In Proceedings of the International Conference Integral Geometry and Convexity (pp. 49–65). World Scientific. http://hdl.handle.net/20.500.12708/40614 ( reposiTUm)

Beiträge in Büchern

Ludwig, M. (2023). Geometric valuation theory. In A. Hujdurovic, K. Kutnar, D. Marusic, S. Miklavic, T. Pisanski, & P. Sparl (Eds.), European Congress of Mathematics (pp. 93–123). EMS Press. https://doi.org/10.4171/8ecm/25 ( reposiTUm)
Ludwig, M., & Mussnig, F. (2023). Valuations on Convex Bodies and Functions. In A. Colesanti & M. Ludwig (Eds.), Convex Geometry : Cetraro, Italy 2021 (Vol. 2332, pp. 19–78). Springer. https://doi.org/10.1007/978-3-031-37883-6_2 ( reposiTUm)
Böröczky, K. J., & Ludwig, M. (2017). Valuations on Lattice Polytopes. In M. Kiderlen & E. Vedel Jensen (Eds.), Tensor Valuations and Their Applications in Stochastic Geometry and Imaging (pp. 213–234). Springer. https://doi.org/10.1007/978-3-319-51951-7_8 ( reposiTUm)

Bücher

Asymptotic Geometric Analysis. (2013). In M. Ludwig, V. D. Milman, V. Pestov, & N. Tomczak-Jaegermann (Eds.), Fields Institute Communications. Springer. https://doi.org/10.1007/978-1-4614-6406-8 ( reposiTUm)

Tagungsbände

Colesanti, A., & Ludwig, M. (Eds.). (2023). Convex Geometry : Cetraro, Italy 2021 (Vol. 2332). Springer. https://doi.org/10.1007/978-3-031-37883-6 ( reposiTUm)

Präsentationen

Ludwig, M. (2023, July 20). Valuations on convex functions [Keynote Presentation]. Miniworkshop “Modern Valuation Theory,” Jena, Germany. ( reposiTUm)
Ludwig, M. (2023, June 15). Monge-Ampère measures and valuations [Conference Presentation]. Geometric Inequalities, Convexity and Probability: BIRS-IMAG Workshop, Granada, University of Granada, Spain. ( reposiTUm)
Ludwig, M. (2023, February 7). Affine fractional Sobolev and isoperimetric inequalities [Keynote Presentation]. Conference “Geometric and functional inequalities, function spaces and PDEs”, GEOFI 2023, Prag, Czechia. ( reposiTUm)
Ludwig, M. (2023, September 7). Affine fractional isoperimetric inequalities [Conference Presentation]. Convex and Discrete Geometry Workshop, Budapest, Hungary. ( reposiTUm)
Ludwig, M. (2023, October 17). Affine fractional isoperimetric inequalities [Presentation]. Seminarvortrag an der Shaanxi Normal University, Xi’an, China. ( reposiTUm)
Freyer, A., Ludwig, M., & Rubey, M. (2023, July 21). Tensor valuations on lattice polygons beyond Ehrhart coefficients [Presentation]. Miniworkshop “Modern Valuation Theory,” Jena, Germany. ( reposiTUm)
Ludwig, M. (2022, June 23). Functional intrinsic volumes [Keynote Presentation]. geOmetry, anaLysis & convExity (OLE), Sevilla, Spain. ( reposiTUm)
Ludwig, M. (2022, September 29). Fractional polar projection bodies [Keynote Presentation]. Harmonic Analysis Methods in Geometric Tomography, Providence, RI, United States of America (the). ( reposiTUm)
Ludwig, M. (2022, May 16). Random projections of convex functions [Keynote Presentation]. Mini-Workshop “Stochastic Aspects in Convexity,” Bochum, Germany. ( reposiTUm)
Ludwig, M. (2022, June 29). Functional intrinsic volumes [Conference Presentation]. SHU Geometry and Analysis Colloquium, Shanghai, China. ( reposiTUm)
Ludwig, M. (2022, October 20). Affine fractional Sobolev and isoperimetric inequalities [Presentation]. Geometry and Topology Seminar, Universität Wien, Fakultät für Mathematik, Austria. ( reposiTUm)
Ludwig, M. (2021). Valuations on convex functions. CISG2020 International Conference on Convex, Integral and Stochastic Geometry, Bad Herrenalb, Deutschland, EU. http://hdl.handle.net/20.500.12708/123313 ( reposiTUm)
Ludwig, M. (2021). Valuations on convex bodies and convex functions II. CIME Summer School on Convex Geometry, Cetraro, Italien, EU. http://hdl.handle.net/20.500.12708/123303 ( reposiTUm)
Ludwig, M. (2021). Geometric probabilities and valuation theory. Winter School on “The Interplay between High-Dimensional Geometry and Probability,” Hausdorff Research Institute for Mathematics, Bonn, Deutschland, Germany. http://hdl.handle.net/20.500.12708/123281 ( reposiTUm)
Ludwig, M. (2021). Valuations on function spaces. Corona Seminar, Universidad Complutense de Madrid, Spanien, Spain. http://hdl.handle.net/20.500.12708/123282 ( reposiTUm)
Ludwig, M. (2021). Functional intrinsic volumes and mixed Monge-Ampère measures. IASM-BIRS Workshop on Interaction between Partial Differential Equations and Convex Geometry (Online, 21w5139), Hangzhou, China, China. http://hdl.handle.net/20.500.12708/123315 ( reposiTUm)
Ludwig, M. (2021). The Hadwiger theorem on convex functions. Conference: Current trends in convex geometry, Universität Bremen, Deutschland, Germany. http://hdl.handle.net/20.500.12708/123279 ( reposiTUm)
Ludwig, M. (2021). Geometric valuation theory. 8th European Congress of Mathematics, Portoroz/Rogla, Slowenien, Slovenia. http://hdl.handle.net/20.500.12708/123278 ( reposiTUm)
Ludwig, M. (2020). Valuations on convex function. Online Asymptotic Geometric Analysis Seminar, Georgia Tech University, Atlanta, Non-EU. http://hdl.handle.net/20.500.12708/123141 ( reposiTUm)
Ludwig, M. (2020). Geometric valuation theory. Universität Osnabrück, Osnabrück, Deutschland, Austria. http://hdl.handle.net/20.500.12708/123084 ( reposiTUm)
Ludwig, M. (2020). Geometric valuation theory. Kolloquium an der Case Western Reserve University, Cleveland, Ohio, Non-EU. http://hdl.handle.net/20.500.12708/123072 ( reposiTUm)
Ludwig, M. (2020). Hilberts drittes Problem: Was ist Rauminhalt? TUforMath, Wien, Austria. http://hdl.handle.net/20.500.12708/123071 ( reposiTUm)
Ludwig, M. (2019). Geometric valuation theory. Mathematisches Kolloquium der Universität Wien, Universität Wien, Austria. http://hdl.handle.net/20.500.12708/122861 ( reposiTUm)
Ludwig, M. (2019). Valuations on convex functions. CDIG2019 Conference on Convex, Discrete and Integral Geometry, Friedrich-Schiller-Universität Jena, Germany. http://hdl.handle.net/20.500.12708/122810 ( reposiTUm)
Ludwig, M. (2019). Geometric valuation theory. DGA2019 Differential Geometry and its Applications, Hradec Králové, Czechia. http://hdl.handle.net/20.500.12708/122809 ( reposiTUm)
Ludwig, M. (2019). Valuations on convex functions. Geometry Seminar, Courant Institute of NYU, New York, United States of America (the). http://hdl.handle.net/20.500.12708/122859 ( reposiTUm)
Ludwig, M. (2019). Geometric valuation theory. Colloquium UAM-ICMAT, Madrid, Spain. http://hdl.handle.net/20.500.12708/122860 ( reposiTUm)
Ludwig, M. (2018). Classifying valuations on lattice polytopes. AG/Oberseminar DIGO: Diskrete Mathematik, Geometrie und Optimierung, Goethe-Universität Frankfurt, EU. http://hdl.handle.net/20.500.12708/122406 ( reposiTUm)
Ludwig, M. (2018). Minkowski valuations on polytopes. Einstein Workshop Discrete Geometry and Topology, Freie Universität Berlin, EU. http://hdl.handle.net/20.500.12708/122407 ( reposiTUm)
Ludwig, M. (2018). Valuations on convex bodies, I and II. Summer School 2018: New perspectives on convex geometry, CIEM, Castro Urdiales, Spanien, EU. http://hdl.handle.net/20.500.12708/122420 ( reposiTUm)
Ludwig, M. (2018). Valuations on convex bodies, III. Summer School 2018: New perspectives on convex geometry, CIEM, Castro Urdiales, Spanien, EU. http://hdl.handle.net/20.500.12708/122421 ( reposiTUm)
Ludwig, M. (2017). Tensor valuations on lattice polytopes. Conference on Convex, Discrete and Integral Geometry, Banach Center, Bedlewo, EU. http://hdl.handle.net/20.500.12708/121873 ( reposiTUm)
Ludwig, M. (2017). Valuations on lattice polytopes: Old and new. Discrete Geometry Fest, Renyi Institute Budapest, EU. http://hdl.handle.net/20.500.12708/121872 ( reposiTUm)
Ludwig, M. (2017). Valuations on lattice polytopes. BIRS Workshop: Recent Advances in Discrete and Analytic Aspects of Convexity, Banff International Research Station, Banff, Non-EU. http://hdl.handle.net/20.500.12708/121874 ( reposiTUm)
Ludwig, M. (2017). Geometric classification. Kovalevskaya Colloquium, Berlin Mathematical School, EU. http://hdl.handle.net/20.500.12708/121878 ( reposiTUm)
Ludwig, M. (2017). Valuations on lattice polytopes: Old and new. NYU Tandon School of Engineering, New York, Non-EU. http://hdl.handle.net/20.500.12708/121879 ( reposiTUm)
Ludwig, M. (2017). Geometric classification I. Introductory Workshop: Phenomena in High Dimensions, MSRI, Berkeley, California, Non-EU. http://hdl.handle.net/20.500.12708/122077 ( reposiTUm)
Ludwig, M. (2017). Tensor valuations on lattice polytopes. Connections for Women: Geometry and Probability in High Dimensions, MSRI, Berkeley, California, Non-EU. http://hdl.handle.net/20.500.12708/122076 ( reposiTUm)
Ludwig, M. (2017). Geometric classification II. Introductory Workshop: Phenomena in High Dimensions, MSRI, Berkeley, California, Non-EU. http://hdl.handle.net/20.500.12708/122078 ( reposiTUm)
Ludwig, M. (2017). Geometric classification III. Introductory Workshop: Phenomena in High Dimensions, MSRI, Berkeley, California, Non-EU. http://hdl.handle.net/20.500.12708/122079 ( reposiTUm)
Ludwig, M. (2017). Affine valuations on function spaces. Conference “Convex and Integral Geometry,” Goethe-Universität Frankfurt, EU. http://hdl.handle.net/20.500.12708/122080 ( reposiTUm)
Ludwig, M. (2017). Hessian valuations. Geometric functional analysis and applications, MSRI, Berkeley, California, Non-EU. http://hdl.handle.net/20.500.12708/122081 ( reposiTUm)
Ludwig, M. (2016). Valuations on the space of convex functions. Conference on “Asymptotic Geometric Analysis III,” Euler International Mathematical Institute, St.Petersburg, Non-EU. http://hdl.handle.net/20.500.12708/121501 ( reposiTUm)
Ludwig, M. (2016). Valuations on lattice polytopes. Conference on “Perspectives on integral geometry,” University of Georgia, Athens, Non-EU. http://hdl.handle.net/20.500.12708/121500 ( reposiTUm)
Ludwig, M. (2016). Minkowski valuations on function spaces. INdAM Workshop “Analytic aspects of convexity,” Università di Roma, Rom, EU. http://hdl.handle.net/20.500.12708/121591 ( reposiTUm)
Ludwig, M. (2016). Valuations on convex and log-concave functions. Universitat Autònoma de Barcelona, Barcelona, Spanien, EU. http://hdl.handle.net/20.500.12708/121518 ( reposiTUm)
Ludwig, M. (2016). Geometric classification. CSASC 2016 Barcelona, Barcelona, Spain, EU. http://hdl.handle.net/20.500.12708/121517 ( reposiTUm)
Ludwig, M. (2016). Geometric classification. 7th European Congress of Mathematics, Minisymposium “Asymptotic Geometric Analysis,” Berlin, EU. http://hdl.handle.net/20.500.12708/121502 ( reposiTUm)
Ludwig, M. (2016). Valuations on lattice polytopes. Universität Salzburg, Salzburg, Austria. http://hdl.handle.net/20.500.12708/121503 ( reposiTUm)
Ludwig, M. (2016). Anisotropic fractional perimeters. Partial Differential Equations and Related Topics, Alghero, Sardinia, Italy, EU. http://hdl.handle.net/20.500.12708/121516 ( reposiTUm)
Ludwig, M. (2015). Valuations on lattice polytopes. Monday Lecture, Graduiertenkolleg: Methods for Discrete Structures, Technische Universität Berlin, EU. http://hdl.handle.net/20.500.12708/121136 ( reposiTUm)
Ludwig, M. (2015). Valuations on lattice polytopes. Conference on Intuitive Geometry, László Fejes Tóth Centennial, Alfred Renyi Institute of Mathematics, Budapest, EU. http://hdl.handle.net/20.500.12708/121140 ( reposiTUm)
Ludwig, M. (2015). Valuations on lattice polytopes. Session on “Convex and Discrete Geometry”, Congreso de la RSME 2015, Granada, Spain, EU. http://hdl.handle.net/20.500.12708/121137 ( reposiTUm)
Ludwig, M. (2015). Minkowski valuations. Workshop on Integral Geometry and Valuation Theory, ETH Zürich, Schweiz, Non-EU. http://hdl.handle.net/20.500.12708/121139 ( reposiTUm)
Ludwig, M. (2015). On the geometric classification of functions. Universität Linz, Linz, Austria. http://hdl.handle.net/20.500.12708/121138 ( reposiTUm)
Ludwig, M. (2015). Valuations on lattice polytopes. Asymptotic Geometric Analysis Mini-Symposium, Case Western University, Ohio, USA, Non-EU. http://hdl.handle.net/20.500.12708/121135 ( reposiTUm)
Ludwig, M. (2015). Valuations on function spaces. Kolloquium, Polytechnic Institute of New York University, New York, Non-EU. http://hdl.handle.net/20.500.12708/121190 ( reposiTUm)
Ludwig, M. (2015). Valuations on function spaces. Conference on Introduction to the Theory of Valuations on Convex Sets, Kent State University, Ohio, USA, Non-EU. http://hdl.handle.net/20.500.12708/118604 ( reposiTUm)
Ludwig, M. (2014). On the geometric classification of functions. K&K Analysis Seminar, Innsbruck, Austria. http://hdl.handle.net/20.500.12708/120810 ( reposiTUm)
Ludwig, M. (2014). Valuation on function spaces. Conference on Geometric invariance and nonlinear partial differential equations, Kioloa Coastal Campus, Australian National University, Non-EU. http://hdl.handle.net/20.500.12708/120794 ( reposiTUm)
Ludwig, M. (2014). Valuation on function spaces. Colloquium, University of Missouri, Columbia, Missouri, Non-EU. http://hdl.handle.net/20.500.12708/120795 ( reposiTUm)
Ludwig, M. (2014). Valuations on lattice polytopes. Polytechnic Institute of New York University, New York, Non-EU. http://hdl.handle.net/20.500.12708/120796 ( reposiTUm)
Ludwig, M. (2014). On the geometric classification of functions. Montreal Analysis Seminar, McGill University, Montreal, Kanada, Non-EU. http://hdl.handle.net/20.500.12708/120839 ( reposiTUm)
Ludwig, M. (2014). Valuations on lattice polytopes II. Workshop on Tensor Valuations in Stochastic Geometry and Imaging, Sandbjerg Estate, Sønderborg, Denmark, EU. http://hdl.handle.net/20.500.12708/120838 ( reposiTUm)
Ludwig, M. (2014). Valuations on lattice polytopes I. Workshop on Tensor Valuations in Stochastic Geometry and Imaging, Sandbjerg Estate, Sønderborg, Denmark, EU. http://hdl.handle.net/20.500.12708/120837 ( reposiTUm)
Ludwig, M. (2014). On the geometric classification of functions. Fields Medal Symposium, Fields Institute, Toronto, Kanada, Non-EU. http://hdl.handle.net/20.500.12708/120840 ( reposiTUm)
Ludwig, M. (2013). Valuations on function spaces. Conference on Convex Geometry, Centro Internacional de Encuentros Matematicos, Castro Urdiales, Spain, EU. http://hdl.handle.net/20.500.12708/120405 ( reposiTUm)
Ludwig, M. (2013). Anisotropic fractional perimeters. Conference on “Integral geometry and its applications,” Mathematisches Forschungsinstitut Oberwolfach, Deutschland, EU. http://hdl.handle.net/20.500.12708/120345 ( reposiTUm)
Ludwig, M. (2013). Anisotropic fractional perimeters. Workshop on “Interplay of convex geometry and Banach space theory,” Banff International Research Station, Alberta, Kanada, Non-EU. http://hdl.handle.net/20.500.12708/120346 ( reposiTUm)
Ludwig, M. (2013). Fractional perimeters. Polytechnic Institute of New York University, New York, Non-EU. http://hdl.handle.net/20.500.12708/120348 ( reposiTUm)
Ludwig, M. (2013). Fractional perimeters. Case Western Reserve University, Cleveland, Ohio, Non-EU. http://hdl.handle.net/20.500.12708/120347 ( reposiTUm)
Ludwig, M. (2012). Valuations on convex bodies and Sobolev spaces. Szeged Workshop in Convex and Discrete Geometry, Universität Szeged, EU. http://hdl.handle.net/20.500.12708/120048 ( reposiTUm)
Ludwig, M. (2012). Covariance in convex geometry. Invariants in convex geometry and Banach space theory, American Institute of Mathematics, Palo Alto, California, Non-EU. http://hdl.handle.net/20.500.12708/119842 ( reposiTUm)
Ludwig, M. (2011). Additive functions on convex bodies. Universität Osnabrück, Osnabrück, Deutschland, Austria. http://hdl.handle.net/20.500.12708/119825 ( reposiTUm)
Ludwig, M. (2011). Valuations on Sobolev spaces. Polytechnic Institute of New York University, New York, Non-EU. http://hdl.handle.net/20.500.12708/119826 ( reposiTUm)
Ludwig, M. (2011). Valuations on convex bodies: From Hilbert’s 3rd problem to recent results. Massachusetts Institute of Technology, MIT, Department of Chemical Engineering, Cambridge, Massachusetts, USA, Non-EU. http://hdl.handle.net/20.500.12708/119828 ( reposiTUm)
Ludwig, M. (2011). Isoperimetrisch und affin-isoperimetrische Ungleichung. Universität Salzburg, Salzburg, Austria. http://hdl.handle.net/20.500.12708/119827 ( reposiTUm)
Ludwig, M. (2011). Valuations on Sobolev spaces. Massachusetts Institute of Technology, MIT, Department of Chemical Engineering, Cambridge, Massachusetts, USA, Non-EU. http://hdl.handle.net/20.500.12708/119829 ( reposiTUm)
Ludwig, M. (2011). Valuations on Sobolev spaces. International Conference on Integral and Convex Geometric Analysis and Related Topics, Chern Institute of Mathematics, Nankai University, Tianjin, China, Non-EU. http://hdl.handle.net/20.500.12708/119917 ( reposiTUm)
Ludwig, M. (2011). Valuations on function spaces. Southwest University, Chongqing, Chongqing, China, Non-EU. http://hdl.handle.net/20.500.12708/119916 ( reposiTUm)
Ludwig, M. (2011). Valuations on function spaces. Convex Geometry - Analytic Aspects, Cortona, Cortona, Italien, Austria. http://hdl.handle.net/20.500.12708/119851 ( reposiTUm)
Ludwig, M. (2010). Convex body valued valuations, I. Mini-Workshop: Valuations and Integral Geometry, Oberwolfach, Deutschland, EU. http://hdl.handle.net/20.500.12708/119385 ( reposiTUm)
Ludwig, M. (2010). Convex body valued valuations, III. Mini-Workshop: Valuations and Integral Geometry, Oberwolfach, Deutschland, EU. http://hdl.handle.net/20.500.12708/119387 ( reposiTUm)
Ludwig, M. (2010). Convex body valued valuations, II. Mini-Workshop: Valuations and Integral Geometry, Oberwolfach, Deutschland, EU. http://hdl.handle.net/20.500.12708/119386 ( reposiTUm)
Ludwig, M. (2009). Additive Funktionen auf konvexen Körpern. Technische Univ. Wien, Wien, Austria. http://hdl.handle.net/20.500.12708/119187 ( reposiTUm)
Ludwig, M. (2009). Additive functions on convex bodies. 17. ÖMG-Kongress - Jahrestagung der DMV, Graz, Austria. http://hdl.handle.net/20.500.12708/119213 ( reposiTUm)
Ludwig, M. (2009). Valuations on convex bodies and Sobolev inequalities. McGill University, Montreal, Canada, Non-EU. http://hdl.handle.net/20.500.12708/119214 ( reposiTUm)
Ludwig, M. (2009). General affine surface areas. AMS Special Session on Convex and Discrete Geometry, Washington, DC, Non-EU. http://hdl.handle.net/20.500.12708/118984 ( reposiTUm)
Ludwig, M. (2009). Sobolev inequalities and the Lₚ Brunn Minkowski theory. Kent State University, Ohio, Non-EU. http://hdl.handle.net/20.500.12708/118985 ( reposiTUm)
Ludwig, M. (2009). Additive functions on convex bodies. Northeastern University, Boston, Massachusetts, Non-EU. http://hdl.handle.net/20.500.12708/118987 ( reposiTUm)
Ludwig, M. (2009). General affine surface areas. Case Western Reserve University, Cleveland, Ohio, Non-EU. http://hdl.handle.net/20.500.12708/118986 ( reposiTUm)
Ludwig, M. (2008). SL(n) invariant notions of surface area. Southeast Geometry Seminar XIII, Emory University, Atlanta, Non-EU. http://hdl.handle.net/20.500.12708/118760 ( reposiTUm)
Ludwig, M. (2008). SL(n) invariant notions of surface area. AMS Fall Eastern Sectional Meeting, Wesleyan University, Middletown, CT, Non-EU. http://hdl.handle.net/20.500.12708/118763 ( reposiTUm)
Ludwig, M. (2008). General affine surface areas. Conference on Convex Geometry and High Dimensional Phenomena, Wien, Austria. http://hdl.handle.net/20.500.12708/118761 ( reposiTUm)
Ludwig, M. (2008). Affine isoperimetric inequalities. Isoperimetric Inequalities Workshop, CUNY Graduate Center, New York, Non-EU. http://hdl.handle.net/20.500.12708/118762 ( reposiTUm)
Ludwig, M. (2008). SL(n) invariant valuations. Conference “Classical Convex Geometry,” University of Missouri at Columbia, Non-EU. http://hdl.handle.net/20.500.12708/118759 ( reposiTUm)
Ludwig, M. (2008). Affine surface areas. Gastvortrag, Masaryk University Brno, Czech Republic, EU. http://hdl.handle.net/20.500.12708/118764 ( reposiTUm)
Ludwig, M. (2007). Lₚ intersection bodies. Joint Mathematics Meetings, New Orleans, Non-EU. http://hdl.handle.net/20.500.12708/118166 ( reposiTUm)
Ludwig, M. (2007). Projection and intersection bodies. The 2nd Dalhousie Atlantic Analysis Days, Halifax, Nova Scotia, Halifax, Kanada, Non-EU. http://hdl.handle.net/20.500.12708/118756 ( reposiTUm)
Ludwig, M. (2007). Bivaluations on convex bodies. Convex Geometry - Analytic Aspects, Cortona, Cortona, Italien, Austria. http://hdl.handle.net/20.500.12708/118758 ( reposiTUm)
Ludwig, M. (2007). Bivaluations on convex bodies. AMS Sectional Meeting, Hoboken, New Jersey, Non-EU. http://hdl.handle.net/20.500.12708/118757 ( reposiTUm)
Ludwig, M. (2006). A classification of SL(n) invariant valuations. Mathematisches Forschungsinstitut Oberwolfach, Austria. http://hdl.handle.net/20.500.12708/118115 ( reposiTUm)
Ludwig, M. (2006). Valuations on convex bodies. Universität Magdeburg, Magdeburg, Deutschland, EU. http://hdl.handle.net/20.500.12708/117922 ( reposiTUm)
Ludwig, M. (2006). Affine Geometry of Convex Bodies. Polytechnic University New York, New York, Austria. http://hdl.handle.net/20.500.12708/117885 ( reposiTUm)
Ludwig, M. (2006). Zur Affinoberfläche konvexer Körper. Universität Freiburg, Freiburg, EU. http://hdl.handle.net/20.500.12708/117884 ( reposiTUm)
Ludwig, M. (2006). Affine geometry of convex bodies. 2nd Annual Conference “Phenomena in High Dimensions,” Paris, EU. http://hdl.handle.net/20.500.12708/117819 ( reposiTUm)
Ludwig, M. (2006). Valuations on polytopes. Conference on “Discrete Geometry and Lattices,” Peking, Non-EU. http://hdl.handle.net/20.500.12708/117820 ( reposiTUm)
Ludwig, M. (2006). Valuations on polytopes. Polytechnic University New York, New York, Austria. http://hdl.handle.net/20.500.12708/117784 ( reposiTUm)
Ludwig, M. (2006). Elementary moves on triangulations. Tagung “Convex sets and their applications,” Banff, Alberta, Non-EU. http://hdl.handle.net/20.500.12708/117785 ( reposiTUm)
Ludwig, M. (2005). SL(n) invariant notions of surface area. ÖMG Tagung, Bozen, Austria. http://hdl.handle.net/20.500.12708/117515 ( reposiTUm)
Ludwig, M. (2005). Valuations on Simplices. 2nd joint meeting AMS, DMV, ÖMG, Mainz 2005, Mainz, Austria. http://hdl.handle.net/20.500.12708/117516 ( reposiTUm)
Ludwig, M. (2005). A characterization of Lp-affine surface area. Polytechnic University New York, New York, Austria. http://hdl.handle.net/20.500.12708/117447 ( reposiTUm)
Ludwig, M. (2005). A classification of SL(n) invariant valuations. Workshop on Geometric Inequalities, Florenz, Austria. http://hdl.handle.net/20.500.12708/117450 ( reposiTUm)
Ludwig, M. (2005). Classification of SL(n) invariant valuations. Universität Florenz, Florenz, Austria. http://hdl.handle.net/20.500.12708/117448 ( reposiTUm)
Ludwig, M. (2005). Zur affinen Geometrie konvexer Körper. TU Berlin, Berlin, Germany, EU. http://hdl.handle.net/20.500.12708/117449 ( reposiTUm)
Ludwig, M. (2004). Additive Funktionale auf konvexen Mengen. Mathematisches Kolloquium, TH Aachen, Austria. http://hdl.handle.net/20.500.12708/116874 ( reposiTUm)
Ludwig, M. (2004). Some results and problems from the affine geometry of convex bodies. Peking University, Beijing, P.R.China, Non-EU. http://hdl.handle.net/20.500.12708/116873 ( reposiTUm)
Ludwig, M. (2004). Intersection bodies and valuations. 5. Conferenza Internazionale su geometria stocastica, corpi convessi, misure empiriche & applicazioni alle scienze ingegneristice, mediche e della ferrovia, Palermo, Austria. http://hdl.handle.net/20.500.12708/116871 ( reposiTUm)
Ludwig, M. (2004). Affinely associated bodies. International Conference on Integral Geometry and Convexity Related Topics, Wuhan, China, Austria. http://hdl.handle.net/20.500.12708/116872 ( reposiTUm)
Ludwig, M. (2004). Affinely associated bodies. Polytechnic University New York, New York, Austria. http://hdl.handle.net/20.500.12708/116762 ( reposiTUm)
Ludwig, M. (2004). A characterization of the intersection body transform. Conference on Convex Geometric Analysis, Banff, Alberta, Austria. http://hdl.handle.net/20.500.12708/116764 ( reposiTUm)
Ludwig, M. (2004). Intersection bodies and chordal symmetrals. AMS-Tagung, Lawrenceville, NJ, Austria. http://hdl.handle.net/20.500.12708/116763 ( reposiTUm)
Ludwig, M. (2004). Affinely associated bodies. Conference on Gaussian Measures, Snowbird, Utah, Austria. http://hdl.handle.net/20.500.12708/116765 ( reposiTUm)
Ludwig, M. (2003). Minkowski valuations. Math.Kolloquium Alicante, University of Alicante, Spanien, EU. http://hdl.handle.net/20.500.12708/116649 ( reposiTUm)
Ludwig, M. (2003). Affinely associated bodies. Convex Geometry - Analytic Aspects, Cortona, Cortona, Italien, Austria. http://hdl.handle.net/20.500.12708/116648 ( reposiTUm)
Ludwig, M. (2003). Affin-assoziierte Körper. Univ. Bern, Kolloquium, Bern, Austria. http://hdl.handle.net/20.500.12708/116651 ( reposiTUm)
Ludwig, M. (2003). Affine Geometrie konvexer Körper. TU Graz, Austria. http://hdl.handle.net/20.500.12708/116650 ( reposiTUm)
Ludwig, M. (2003). Projection bodies and valuations. Conference on Banach Spaces and Convex Geometric Analysis, Kiel, Austria. http://hdl.handle.net/20.500.12708/116646 ( reposiTUm)
Ludwig, M. (2003). Affinely associated bodies. Diskrete Geometrie und Konvexgeometrie, Salzburg, Salzburg, Austria. http://hdl.handle.net/20.500.12708/116647 ( reposiTUm)
Ludwig, M. (2003). Course on Analytically Oriented Convexity (5 Hours). Summer School on Convex and Discrete Geometry, Alicante, Alicante, Austria. http://hdl.handle.net/20.500.12708/116784 ( reposiTUm)
Ludwig, M. (2002). Additive functions of convex bodies. Polytechnic University New York, New York, Austria. http://hdl.handle.net/20.500.12708/116761 ( reposiTUm)
Ludwig, M. (2002). Additive Funktionale für konvexe Körper. Universität Salzburg, Salzburg, Austria. http://hdl.handle.net/20.500.12708/116757 ( reposiTUm)
Ludwig, M. (2002). Projection bodies and valuations. Technische Universität Wien, Austria. http://hdl.handle.net/20.500.12708/116758 ( reposiTUm)
Ludwig, M. (2002). Affinely associated ellipsoids and matrix valued valuations. Conference on Asymptotic Geometric Analysis, Vancouver, Austria. http://hdl.handle.net/20.500.12708/116759 ( reposiTUm)
Ludwig, M. (2002). Additive functions of convex bodies. Conference on Geometry: Discrete, Combinatorial and Computational, Peking, Austria. http://hdl.handle.net/20.500.12708/116760 ( reposiTUm)
Ludwig, M. (2001). Invariant valuations on the space of convex bodies. Geometry Seminar, Courant Institute, New York, Non-EU. http://hdl.handle.net/20.500.12708/115880 ( reposiTUm)
Ludwig, M. (2001). On affine and Lp-affine surface area. Case Western Univ. Colloquia, Cleveland, Austria. http://hdl.handle.net/20.500.12708/115882 ( reposiTUm)
Ludwig, M. (2001). Zur Affinoberfläche. Univ. Magdeburg, Math. Kolloquia, Magdeburg, Austria. http://hdl.handle.net/20.500.12708/115885 ( reposiTUm)
Ludwig, M. (2001). On affine and Lp-affine surface area. Univ.of Oklahoma, Colloquia, Norman, USA, Austria. http://hdl.handle.net/20.500.12708/115883 ( reposiTUm)
Ludwig, M. (2001). Lp-floating bodies. Convex Geometric Analysis, Kreta, Austria. http://hdl.handle.net/20.500.12708/115886 ( reposiTUm)
Ludwig, M. (2001). Affine surface area. Convex Geometry, Oberwolfach, Math. Forschungszentrum Oberwolfach, Austria. http://hdl.handle.net/20.500.12708/115884 ( reposiTUm)
Ludwig, M. (2001). Additive Funktionale für konvexe Körper, Von Hilberts drittem Problem zu neueren Ergebnissen. Wissenswertes aus der Mathematik, TU Wien, Wien, Austria. http://hdl.handle.net/20.500.12708/115888 ( reposiTUm)
Ludwig, M. (2001). Additive Funktionale für Polytope. 15. ÖMG Kongreß, Vienna, Austria, Austria. http://hdl.handle.net/20.500.12708/115887 ( reposiTUm)
Ludwig, M. (2001). Additive functionals on the space of convex bodies. Univ. Bern, Kolloquium, Bern, Austria. http://hdl.handle.net/20.500.12708/115889 ( reposiTUm)
Ludwig, M. (2000). Upper semicontinuous valuations on the space of convex discs. AMS-Tagung, Lawrenceville, NJ, Austria. http://hdl.handle.net/20.500.12708/116779 ( reposiTUm)
Ludwig, M. (2000). Invariant valuations on the space of convex bodies. Conference on Convex Bodies, Universität Tel-Aviv, Austria. http://hdl.handle.net/20.500.12708/116778 ( reposiTUm)
Ludwig, M. (2000). Habilitationsvortrag: Zur Affinoberfläche konvexer Körper. Technische Universität Wien, Austria. http://hdl.handle.net/20.500.12708/116780 ( reposiTUm)
Ludwig, M. (2000). Invariant valuations on the space of convex bodies. University of Liverpool, Liverpool, Austria. http://hdl.handle.net/20.500.12708/116782 ( reposiTUm)
Ludwig, M. (2000). Invariant valuations on the space of convex bodies. Universita Cattolica di Milano, Istituto di Econometria, Austria. http://hdl.handle.net/20.500.12708/116781 ( reposiTUm)
Ludwig, M. (2000). On affine surface area. Polytechnic University New York, New York, Austria. http://hdl.handle.net/20.500.12708/116783 ( reposiTUm)

Berichte

Barthe, F., Henk, M., & Ludwig, M. (2018). Convex Geometry and its Applications (No. 4; p. 3281). https://doi.org/10.4171/owr/2018/54 ( reposiTUm)
Ludwig, M., Barthe, F., & Henk, M. (2015). Convex Geometry and its Applications (No. 4; p. 3269). https://doi.org/10.4171/owr/2015/56 ( reposiTUm)
Ball, K., Henk, M., & Ludwig, M. (2012). Convex Geometry and its Applications (No. 4; p. 3548). https://doi.org/10.4171/owr/2012/59 ( reposiTUm)
Ball, K., Henk, M., & Ludwig, M. (2009). Convex geometry and its applications (No. 53). http://hdl.handle.net/20.500.12708/36417 ( reposiTUm)