Monika Ludwig

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All published works
Action Title Year Authors
+ The Hadwiger Theorem on Convex Functions, I 2024 Andrea Colesanti
Monika Ludwig
Fabian Mussnig
+ Geometric valuation theory 2023 Monika Ludwig
+ Valuations on Convex Bodies and Functions 2023 Monika Ludwig
Fabian Mussnig
+ Convex Geometry 2023 Shiri Artstein-Avidan
Gabriele Bianchi
Andrea Colesanti
Paolo Gronchi
Daniel Hug
Monika Ludwig
Fabian Mussnig
+ Valuations on Convex Bodies and Functions 2023 Monika Ludwig
Fabian Mussnig
+ The Hadwiger theorem on convex functions, IV: The Klain approach 2022 Andrea Colesanti
Monika Ludwig
Fabian Mussnig
+ PDF Chat Affine fractional $$L^p$$ Sobolev inequalities 2022 Julián Haddad
Monika Ludwig
+ PDF Chat The Hadwiger theorem on convex functions, III: Steiner formulas and mixed Monge–Ampère measures 2022 Andrea Colesanti
Monika Ludwig
Fabian Mussnig
+ The Hadwiger theorem on convex functions, IV: The Klain approach 2022 Andrea Colesanti
Monika Ludwig
Fabian Mussnig
+ Affine Fractional Sobolev and Isoperimetric Inequalities 2022 Julián Haddad
Monika Ludwig
+ Affine fractional $L^p$ Sobolev inequalities 2022 Julián Haddad
Monika Ludwig
+ Affine Hardy--Littlewood--Sobolev inequalities 2022 Julián Haddad
Monika Ludwig
+ PDF Chat Geometric valuation theory 2021 Monika Ludwig
+ Geometric valuation theory 2021 Monika Ludwig
+ The Hadwiger theorem on convex functions, II: Cauchy-Kubota formulas 2021 Andrea Colesanti
Monika Ludwig
Fabian Mussnig
+ A homogeneous decomposition theorem for valuations on convex functions 2020 Andrea Colesanti
Monika Ludwig
Fabian Mussnig
+ PDF Chat Hessian valuations 2020 Andrea Colesanti
Monika Ludwig
Fabian Mussnig
+ The Hadwiger theorem on convex functions, I 2020 Andrea Colesanti
Monika Ludwig
Fabian Mussnig
+ PDF Chat Minkowski valuations on lattice polytopes 2018 Károly J. Böröczky
Monika Ludwig
+ Hessian valuations. 2017 Andrea Colesanti
Monika Ludwig
Fabian Mussnig
+ PDF Chat Minkowski valuations on convex functions 2017 Andrea Colesanti
Monika Ludwig
Fabian Mussnig
+ Tensor valuations on lattice polytopes 2017 Monika Ludwig
Laura Silverstein
+ PDF Chat Valuations on Convex Functions 2017 Andrea Colesanti
Monika Ludwig
Fabian Mussnig
+ Weighted floating bodies and polytopal approximation 2017 Florian Besau
Monika Ludwig
Elisabeth M. Werner
+ PDF Chat Valuations on Lattice Polytopes 2017 Károly J. Böröczky
Monika Ludwig
+ PDF Chat SL(n) Invariant Valuations on Polytopes 2016 Monika Ludwig
Matthias Reitzner
+ PDF Chat Convex Geometry and its Applications 2016 Franck Barthe
Martin Henk
Monika Ludwig
+ Institute of Discrete Mathematics and Geometry 2015 Monika Ludwig
+ Research Group for Convex and Discrete Geometry 2015 Monika Ludwig
+ PDF Chat Anisotropic fractional perimeters 2014 Monika Ludwig
+ Anisotropic fractional Sobolev norms 2013 Monika Ludwig
+ Convex Geometry and its Applications 2013 Keith Ball
Martin Henk
Monika Ludwig
+ Covariance matrices and valuations 2013 Monika Ludwig
+ Anisotropic fractional perimeters 2013 Monika Ludwig
+ Asymptotic Geometric Analysis 2013 Monika Ludwig
Vitali Milman
Vladimir Pestov
Nicole Tomczak-Jaegermann
+ Valuations on Sobolev spaces 2012 Monika Ludwig
+ Valuations on convex bodies and Sobolev spaces 2012 Monika Ludwig
+ Valuations on function spaces 2011 Monika Ludwig
+ Fisher information and matrix-valued valuations 2010 Monika Ludwig
+ PDF Chat Minkowski Areas and Valuations 2010 Monika Ludwig
+ Convex Geometry and its Applications 2010 Keith Ball
Martin Henk
Monika Ludwig
+ PDF Chat A classification of SL(<i>n</i>) invariant valuations 2010 Monika Ludwig
Matthias Reitzner
+ Sharp convex Lorentz–Sobolev inequalities 2010 Monika Ludwig
Jie Xiao
Gaoyong Zhang
+ PDF Chat General affine surface areas 2010 Monika Ludwig
+ A classification of SL(n) invariant valuations 2010 Monika Ludwig
Matthias Reitzner
+ Intersection bodies and valuations 2006 Monika Ludwig
+ PDF Chat Elementary Moves on Triangulations 2006 Monika Ludwig
Matthias Reitzner
+ VALUATIONS IN THE AFFINE GEOMETRY OF CONVEX BODIES 2006 Monika Ludwig
+ PDF Chat Approximation of the Euclidean ball by polytopes 2006 Monika Ludwig
Carsten Schütt
Elisabeth M. Werner
+ A characterization of Lp intersection bodies 2006 Christoph Haberl
Monika Ludwig
+ PDF Chat Minkowski valuations 2004 Monika Ludwig
+ Ellipsoids and matrix-valued valuations 2003 Monika Ludwig
+ Projection bodies and valuations 2002 Monika Ludwig
+ Valuations on Polytopes Containing the Origin in Their Interiors 2002 Monika Ludwig
+ Valuations on Polytopes Containing the Origin in Their Interiors 2002 Monika Ludwig
+ Asymptotic Approximation by Quadratic Spline Curves 2002 Monika Ludwig
+ MOMENT VECTORS OF POLYTOPES 2002 Monika Ludwig
Peter M. Gruber
+ On the Semicontinuity of Curvature Integrals 2001 Monika Ludwig
+ On the Semicontinuity of Curvature Integrals 2001 Monika Ludwig
+ None 2000 Monika Ludwig
+ PDF Chat A characterization of affine length and asymptotic approximation of convex discs 1999 Monika Ludwig
+ A Characterization of Affine Surface Area 1999 Monika Ludwig
Matthias Reitzner
+ PDF Chat Asymptotic approximation of smooth convex bodies by general polytopes 1999 Monika Ludwig
+ Approximation of Convex Bodies and a Momentum Lemma for Power Diagrams 1999 Károly J. Böröczky
Monika Ludwig
+ Asymptotic approximation of convex curves; the Hausdorff metric case 1998 Monika Ludwig
+ PDF Chat A Helmholtz-Lie type characterization of ellipsoids, II 1996 Peter M. Gruber
Monika Ludwig
+ Asymptotic approximation of convex curves 1994 Monika Ludwig
Common Coauthors
Commonly Cited References
Action Title Year Authors # of times referenced
+ Convex Bodies: The Brunn–Minkowski Theory 1993 Rolf Schneider
29
+ Introduction to geometric probability 1998 Gian‐Carlo Rota
29
+ PDF Chat Continuous Rotation Invariant Valuations on Convex Sets 1999 Semyon Alesker
27
+ Description of translation invariant valuations on convex sets with solution of P. McMullen's conjecture 2001 Semyon Alesker
24
+ A Characterization of Affine Surface Area 1999 Monika Ludwig
Matthias Reitzner
24
+ Ellipsoids and matrix-valued valuations 2003 Monika Ludwig
21
+ PDF Chat Lp Affine Isoperimetric Inequalities 2000 Erwin Lutwak
Deane Yang
Gaoyong Zhang
19
+ Projection bodies and valuations 2002 Monika Ludwig
18
+ PDF Chat Minkowski valuations intertwining the special linear group 2012 Christoph Haberl
18
+ Invariant Valuations on Star-Shaped Sets 1997 Daniel A. Klain
17
+ Valuations and Dissections 1993 Peter McMullen
17
+ A classification of SL(n) invariant valuations 2010 Monika Ludwig
Matthias Reitzner
17
+ PDF Chat Minkowski Areas and Valuations 2010 Monika Ludwig
16
+ Valuations on convex bodies 1983 Peter McMullen
Rolf Schneider
16
+ Valuations on Sobolev spaces 2012 Monika Ludwig
16
+ Star Valuations and Dual Mixed Volumes 1996 Daniel A. Klain
15
+ PDF Chat Blaschke-Santaló inequalities 1997 Erwin Lutwak
Gaoyong Zhang
14
+ The Cramer-Rao inequality for star bodies 2002 Erwin Lutwak
Deane Yang
Gaoyong Zhang
14
+ PDF Chat The Brunn-Minkowski-Firey theory. I. Mixed volumes and the Minkowski problem 1993 Erwin Lutwak
13
+ A short proof of Hadwiger's characterization theorem 1995 Daniel A. Klain
13
+ PDF Chat The Centro-Affine Hadwiger Theorem 2014 Christoph Haberl
Lukas Parapatits
13
+ A new ellipsoid associated with convex bodies 2000 Erwin Lutwak
Deane Yang
Gaoyong Zhang
13
+ Intersection bodies and valuations 2006 Monika Ludwig
12
+ PDF Chat General $L_p$ affine isoperimetric inequalities 2009 Christoph Haberl
Franz E. Schuster
12
+ Extended affine surface area 1991 Erwin Lutwak
12
+ PDF Chat The affine Sobolev inequality 1999 Gaoyong Zhang
12
+ Valuations on Polytopes Containing the Origin in Their Interiors 2002 Monika Ludwig
12
+ Convex Bodies The Brunn-MinkowskiTheory 2013 Rolf Schneider
12
+ Hermitian integral geometry 2011 Andreas Bernig
Joseph H. G. Fu
12
+ Asymptotic estimates for best and stepwise approximation of convex bodies II 1993 Peter M. Gruber
11
+ Affine Geometry of Convex Bodies 1998 Kurt Leichtweiß
11
+ Valuations on Polytopes Containing the Origin in Their Interiors 2002 Monika Ludwig
11
+ PDF Chat A characterization of affine length and asymptotic approximation of convex discs 1999 Monika Ludwig
11
+ Convex and Discrete Geometry 2007 Peter M. Gruber
11
+ The Lp-Busemann–Petty Centroid Inequality 2002 Stefano Campi
Paolo Gronchi
11
+ PDF Chat Minkowski valuations on $L^{p}$-spaces 2012 Andy Tsang
11
+ PDF Chat Sharp Affine LP Sobolev Inequalities 2002 Erwin Lutwak
Deane Yang
Gaoyong Zhang
11
+ Star body valued valuations 2009 Christoph Haberl
11
+ A characterization of Lp intersection bodies 2006 Christoph Haberl
Monika Ludwig
10
+ Convex and Discrete Geometry 2007 9
+ Aspects of Approximation of Convex Bodies 1993 Peter M. Gruber
9
+ General Lp affine isoperimetric inequalities 2008 Christoph Haberl
Franz E. Schuster
9
+ The multiplicative structure on continuous polynomial valuations 2004 Semyon Alesker
9
+ PDF Chat Hadwiger’s Theorem for definable functions 2013 Yuliy Baryshnikov
Robert Ghrist
Matthew Wright
9
+ Fisher information and matrix-valued valuations 2010 Monika Ludwig
9
+ PDF Chat $GL(n)$ equivariant Minkowski valuations 2011 Thomas Wannerer
9
+ PDF Chat Hard Lefschetz Theorem for Valuations, Complex Integral Geometry, and Unitarily Invariant Valuations 2003 Semyon Alesker
9
+ Valuations and Euler-Type Relations on Certain Classes of Convex Polytopes 1977 Peter McMullen
9
+ Simple valuations on convex bodies 1996 Rolf Schneider
9
+ Laplace transforms and valuations 2016 Jin Li
Dan Ma
9