Haddad, Julián; Ludwig, Monika Affine fractional \(L^p\) Sobolev inequalities. (English) Zbl 07796292 Math. Ann. 388, No. 1, 1091-1115 (2024). MSC: 46E35 35R11 52A40 PDFBibTeX XMLCite \textit{J. Haddad} and \textit{M. Ludwig}, Math. Ann. 388, No. 1, 1091--1115 (2024; Zbl 07796292) Full Text: DOI arXiv OA License
Ludwig, Monika Geometric valuation theory. (English) Zbl 1528.52008 Hujdurović, Ademir (ed.) et al., European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20–26, 2021. Berlin: European Mathematical Society (EMS). 93-123 (2023). Reviewer: Peter McMullen (London) MSC: 52B45 46E35 52A20 26B25 PDFBibTeX XMLCite \textit{M. Ludwig}, in: European congress of mathematics. Proceedings of the 8th congress, 8ECM, Portorož, Slovenia, June 20--26, 2021. Berlin: European Mathematical Society (EMS). 93--123 (2023; Zbl 1528.52008) Full Text: DOI arXiv
Colesanti, Andrea; Ludwig, Monika; Mussnig, Fabian The Hadwiger theorem on convex functions. IV: The Klain approach. (English) Zbl 1510.26008 Adv. Math. 413, Article ID 108832, 35 p. (2023). Reviewer: Rolf Schneider (Freiburg im Breisgau) MSC: 26B25 49Q20 52A41 52A39 52B45 PDFBibTeX XMLCite \textit{A. Colesanti} et al., Adv. Math. 413, Article ID 108832, 35 p. (2023; Zbl 1510.26008) Full Text: DOI arXiv
Colesanti, Andrea; Ludwig, Monika; Mussnig, Fabian The Hadwiger theorem on convex functions. III: Steiner formulas and mixed Monge-Ampère measures. (English) Zbl 1512.26009 Calc. Var. Partial Differ. Equ. 61, No. 5, Paper No. 181, 37 p. (2022). Reviewer: Georgios Psaradakis (Kastoria) MSC: 26B25 49Q20 52A39 52A41 52B45 PDFBibTeX XMLCite \textit{A. Colesanti} et al., Calc. Var. Partial Differ. Equ. 61, No. 5, Paper No. 181, 37 p. (2022; Zbl 1512.26009) Full Text: DOI arXiv
Artstein-Avidan, Shiri (ed.); Barthe, Franck (ed.); Ludwig, Monika (ed.) Convex geometry and its applications. Abstracts from the workshop held December 12–18, 2021 (hybrid meeting). (English) Zbl 1506.00039 Oberwolfach Rep. 18, No. 4, 3187-3266 (2021). MSC: 00B05 00B25 52-06 52Axx 68Q25 60D05 PDFBibTeX XMLCite \textit{S. Artstein-Avidan} (ed.) et al., Oberwolfach Rep. 18, No. 4, 3187--3266 (2021; Zbl 1506.00039) Full Text: DOI
Böröczky, Károly J.; Ludwig, Monika Minkowski valuations on lattice polytopes. (English) Zbl 1506.52016 J. Eur. Math. Soc. (JEMS) 21, No. 1, 163-197 (2019). Reviewer: Matthias Schymura (Cottbus) MSC: 52B20 52B45 PDFBibTeX XMLCite \textit{K. J. Böröczky} and \textit{M. Ludwig}, J. Eur. Math. Soc. (JEMS) 21, No. 1, 163--197 (2019; Zbl 1506.52016) Full Text: DOI arXiv
Colesanti, Andrea; Ludwig, Monika; Mussnig, Fabian Minkowski valuations on convex functions. (English) Zbl 1400.52014 Calc. Var. Partial Differ. Equ. 56, No. 6, Paper No. 162, 29 p. (2017). Reviewer: Judit Abardia-Evéquoz (Frankfurt a. M.) MSC: 52B45 26B25 46B20 46E35 52A21 52A41 PDFBibTeX XMLCite \textit{A. Colesanti} et al., Calc. Var. Partial Differ. Equ. 56, No. 6, Paper No. 162, 29 p. (2017; Zbl 1400.52014) Full Text: DOI arXiv
Ludwig, Monika; Silverstein, Laura Tensor valuations on lattice polytopes. (English) Zbl 1390.52023 Adv. Math. 319, 76-110 (2017). Reviewer: Matthias Beck (San Francisco) MSC: 52B20 52B45 PDFBibTeX XMLCite \textit{M. Ludwig} and \textit{L. Silverstein}, Adv. Math. 319, 76--110 (2017; Zbl 1390.52023) Full Text: DOI arXiv
Böröczky, Károly J.; Ludwig, Monika Valuations on lattice polytopes. (English) Zbl 1376.52022 Vedel Jensen, Eva B. (ed.) et al., Tensor valuations and their applications in stochastic geometry and imaging. Based on the presentations at the workshop, Sandbjerg Manor, Denmark, September 21–26, 2014. Cham: Springer (ISBN 978-3-319-51950-0/pbk; 978-3-319-51951-7/ebook). Lecture Notes in Mathematics 2177, 213-234 (2017). Reviewer: Christian Richter (Jena) MSC: 52B45 11P21 52B20 PDFBibTeX XMLCite \textit{K. J. Böröczky} and \textit{M. Ludwig}, Lect. Notes Math. 2177, 213--234 (2017; Zbl 1376.52022) Full Text: DOI Link
Ludwig, Monika Anisotropic fractional Sobolev norms. (English) Zbl 1305.46030 Adv. Math. 252, 150-157 (2014). MSC: 46E35 PDFBibTeX XMLCite \textit{M. Ludwig}, Adv. Math. 252, 150--157 (2014; Zbl 1305.46030) Full Text: DOI arXiv
Ludwig, Monika Covariance matrices and valuations. (English) Zbl 1303.62016 Adv. Appl. Math. 51, No. 3, 359-366 (2013). Reviewer: Alexander Esterov (Moscow) MSC: 62B10 46A40 15B52 52A20 52B45 62H15 PDFBibTeX XMLCite \textit{M. Ludwig}, Adv. Appl. Math. 51, No. 3, 359--366 (2013; Zbl 1303.62016) Full Text: DOI
Ludwig, Monika Valuations on function spaces. (English) Zbl 1235.52023 Adv. Geom. 11, No. 4, 745-756 (2011). Reviewer: Paolo Dulio (Milano) MSC: 52B45 46A40 52A20 46E35 PDFBibTeX XMLCite \textit{M. Ludwig}, Adv. Geom. 11, No. 4, 745--756 (2011; Zbl 1235.52023) Full Text: DOI
Ludwig, Monika; Xiao, Jie; Zhang, Gaoyong Sharp convex Lorentz-Sobolev inequalities. (English) Zbl 1220.26020 Math. Ann. 350, No. 1, 169-197 (2011). Reviewer: V. Lokesha (Bangalore) MSC: 26D20 46E99 PDFBibTeX XMLCite \textit{M. Ludwig} et al., Math. Ann. 350, No. 1, 169--197 (2011; Zbl 1220.26020) Full Text: DOI
Ludwig, Monika Fisher information and matrix-valued valuations. (English) Zbl 1274.62064 Adv. Math. 226, No. 3, 2700-2711 (2011). MSC: 62B10 46E35 52A20 52B45 94A17 PDFBibTeX XMLCite \textit{M. Ludwig}, Adv. Math. 226, No. 3, 2700--2711 (2011; Zbl 1274.62064) Full Text: DOI
Ludwig, Monika; Reitzner, Matthias A classification of SL\((n)\) invariant valuations. (English) Zbl 1223.52007 Ann. Math. (2) 172, No. 2, 1219-1267 (2010). Reviewer: Peter M. Gruber (Wien) MSC: 52B45 PDFBibTeX XMLCite \textit{M. Ludwig} and \textit{M. Reitzner}, Ann. Math. (2) 172, No. 2, 1219--1267 (2010; Zbl 1223.52007) Full Text: DOI arXiv
Ludwig, Monika General affine surface areas. (English) Zbl 1198.52004 Adv. Math. 224, No. 6, 2346-2360 (2010). Reviewer: Eugenia Saorín Gómez (Magdeburg) MSC: 52A20 53A15 PDFBibTeX XMLCite \textit{M. Ludwig}, Adv. Math. 224, No. 6, 2346--2360 (2010; Zbl 1198.52004) Full Text: DOI arXiv
Ludwig, Monika Minkowski valuations. (English) Zbl 1077.52005 Trans. Am. Math. Soc. 357, No. 10, 4191-4213 (2005). Reviewer: Rolf Schneider (Freiburg i. Br.) MSC: 52A20 52B11 52B45 PDFBibTeX XMLCite \textit{M. Ludwig}, Trans. Am. Math. Soc. 357, No. 10, 4191--4213 (2005; Zbl 1077.52005) Full Text: DOI
Ludwig, Monika Ellipsoids and matrix-valued valuations. (English) Zbl 1033.52012 Duke Math. J. 119, No. 1, 159-188 (2003). Reviewer: Ferenc Fodor (Szeged) MSC: 52B45 52B11 PDFBibTeX XMLCite \textit{M. Ludwig}, Duke Math. J. 119, No. 1, 159--188 (2003; Zbl 1033.52012) Full Text: DOI
Ludwig, Monika Projection bodies and valuations. (English) Zbl 1019.52003 Adv. Math. 172, No. 2, 158-168 (2002). Reviewer: Rolf Schneider (Freiburg i.Br.) MSC: 52A20 52B45 PDFBibTeX XMLCite \textit{M. Ludwig}, Adv. Math. 172, No. 2, 158--168 (2002; Zbl 1019.52003) Full Text: DOI