Wissenschaftliche Artikel

Hug, D., Mussnig, F., & Ulivelli, J. (2025). Additive kinematic formulas for convex functions. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES. https://doi.org/10.4153/S0008414X24000944 ( reposiTUm)
Colesanti, A., Ludwig, M., & Mussnig, F. (2025). The Hadwiger theorem on convex functions, II: Cauchy–Kubota formulas. American Journal of Mathematics, 147(4), 927–955. https://doi.org/10.1353/ajm.2025.a966289 ( reposiTUm)
Colesanti, A., Ludwig, M., & Mussnig, F. (2024). The Hadwiger Theorem on Convex Functions, I. Geometric And Functional Analysis, 34(6), 1839–1898. https://doi.org/10.1007/s00039-024-00693-8 ( reposiTUm)
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)
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. (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)

Beiträge in Tagungsbänden

Codenotti, G., & Freyer, A. (2023). A unimodular theory of reduced and complete convex bodies. In VI Congreso de Jóvenes Investigadores de la Real Sociedad Matemática Española (pp. 75–75). http://hdl.handle.net/20.500.12708/191977 ( 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)

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. (2024, July 29). Fractional perimeters, chord integrals, and affine isoperimetric inequalities [Conference Presentation]. XXIII Lluis Santaló School 2024, Santander, Spain. ( reposiTUm)
Ludwig, M. (2024, June 5). The Hadwger Theorem [Presentation]. ISTA Mathematics Colloquium, Mara Gugging, Austria. ( reposiTUm)
Ludwig, M., Freyer, A., & Rubey, M. (2024, June 12). Unimodular Valuations beyond Ehrhart [Conference Presentation]. Convex Geometry in Florence, Università degli Studi di Firenze, Italy. ( reposiTUm)
Ludwig, M. (2024, March 11). Recent Advances in Valuations on Function Spaces [Conference Presentation]. Workshop: High-dimensional Phenomena: Geometric and Probabilistic Aspects, Bonn, Germany. ( reposiTUm)
Ludwig, M. (2024, November 5). Valuations on Convex Bodies and Functions [Presentation]. Mathematics Colloquium, Chongqing, China. ( reposiTUm)
Ludwig, M. (2024, November 4). The Hadwiger Theorem [Presentation]. Mathematics Colloquium, Chongqing, China. ( reposiTUm)
Ludwig, M., & Moreira Baeta, F. H. (2024, November 8). Functional affine surface area [Conference Presentation]. 2024 Xi’an International Conference on Convex Geometry and Related Topics, Xi’an, China. ( reposiTUm)
Ludwig, M. (2024, January 16). Valuations on Convex Functions [Presentation]. Convex Geometry and its Applications, Oberwolfach, Germany. ( reposiTUm)
Ludwig, M., & Li, J. (2024, July 15). Valuations on Convex Functions [Conference Presentation]. 9th European Congress of Mathematics, Sevilla, Spain. http://hdl.handle.net/20.500.12708/199538 ( 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, July 20). Valuations on convex functions [Keynote Presentation]. Miniworkshop “Modern Valuation Theory,” Jena, Germany. ( reposiTUm)
Xi, D. (2023, September 28). Minkowski problem in integral geometry [Conference Presentation]. Conference on Convex Geometry and Geometric Probability, Salzburg, Austria. ( 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)
Xi, D. (2023, November 17). On the Gaussian Minkowski problem [Presentation]. Seminarvortrag am Institut de Mathématiques de Jussieu-Paris Rive Gauche 2023, Paris, France. ( reposiTUm)

Preprints

Brauner, L., Hofstätter, G. C., & Ortega Moreno, O. A. (2025). Mixed Christoffel--Minkowski problems for bodies of revolution. arXiv. https://doi.org/10.48550/ARXIV.2508.09794 ( reposiTUm)
Brauner, L., Hofstätter, G. C., & Ortega Moreno, O. A. (2025). The Christoffel problem for the disk area measure. arXiv. https://doi.org/10.48550/ARXIV.2508.09800 ( reposiTUm)
Mußnig, F., & Ulivelli, J. (2025). Explicit solutions to Christoffel-Minkowski problems and Hessian equations under rotational symmetries. arXiv. https://doi.org/10.48550/arXiv.2508.11600 ( reposiTUm)
Brauner, L., Hofstätter, G. C., & Ortega Moreno, O. A. (2024). The Klain approach to zonal valuations. arXiv. https://doi.org/10.48550/arXiv.2410.18651 ( reposiTUm)
Hug, D., Mußnig, F., & Ulivelli, J. (2024). Additive kinematic formulas for convex functions. arXiv. https://doi.org/10.48550/arXiv.2403.06697 ( reposiTUm)
Hug, D., Mußnig, F., & Ulivelli, J. (2024). Kubota-type formulas and supports of mixed measures. arXiv. https://doi.org/10.48550/arXiv.2401.16371 ( reposiTUm)
Mußnig, F., & Ulivelli, J. (2024). Inequalities and counterexamples for functional intrinsic volumes and beyond. arXiv. https://doi.org/10.48550/arXiv.2412.05001 ( reposiTUm)
Hofstätter, G. C., Kniefacz, P., & Schuster, F. (2024). Affine Quermassintegrals and Even Minkowski Valuations. arXiv. https://doi.org/10.48550/arXiv.2410.23720 ( reposiTUm)
Hofstätter, G. C., & Knörr, J. (2024). Equivariant Valuations on Convex Functions. arXiv. https://doi.org/10.48550/arXiv.2407.08304 ( reposiTUm)
Freyer, A., Ludwig, M., & Rubey, M. (2024). Unimodular Valuations beyond Ehrhart. arXiv. https://doi.org/10.48550/arXiv.2407.07691 ( reposiTUm)
Ellmeyer, S., & Hofstaetter, G. C. (2024). Busemann-Petty type problems on complex vector spaces. arXiv. https://doi.org/10.48550/arXiv.2404.05630 ( reposiTUm)
Freyer, A., & Henk, M. (2023). Polynomial Bounds in Koldobsky’s Discrete Slicing Problem. arXiv. https://doi.org/10.34726/5243 ( reposiTUm)