Elisabeth M. Werner

Elisabeth M. Werner's AcademicInfluence.com Rankings

Elisabeth M. Werner

Mathematics

#3246

World Rank

#4838

Historical Rank

#1219

USA Rank

Measure Theory

#3456

World Rank

#4079

Historical Rank

#998

USA Rank

mathematics Degrees

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Mathematics

Elisabeth M. Werner's Degrees

PhD Mathematics University of Göttingen
Masters Mathematics University of Bonn
Bachelors Mathematics University of Bonn

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Why Is Elisabeth M. Werner Influential?

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According to Wikipedia, Elisabeth M. Werner is a mathematician who works as a professor of mathematics at Case Western Reserve University, as associate director of the Institute for Mathematics and its Applications, and as maître de conférences at the Lille University of Science and Technology. Her research interests include convex geometry, functional analysis, probability theory, and their applications.

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Elisabeth M. Werner's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

An analysis of completely positive trace-preserving maps on M2 (2002) (285)
Surface bodies and p-affine surface area (2004) (190)
New Lp affine isoperimetric inequalities (2007) (185)
Relative entropy of cone measures and Lp centroid bodies (2009) (139)
On the p-Affine Surface Area (1997) (134)
Mahler's Conjecture and Curvature (2012) (109)
Hastings’s Additivity Counterexample via Dvoretzky’s Theorem (2010) (96)
R\'enyi Divergence and $L_p$-affine surface area for convex bodies (2011) (91)
Polytopes with Vertices Chosen Randomly from the Boundary of a Convex Body (2003) (87)
The convex floating body. (1990) (80)
Illumination bodies and affine surface area (1994) (74)
ON THE AFFINE SURFACE AREA (1993) (70)
Inequalities for mixed p-affine surface area (2008) (67)
The Santaló-regions of a convex body (1997) (63)
Functional affine-isoperimetry and an inverse logarithmic Sobolev inequality (2011) (61)
On $L_p$-affine surface areas (2007) (61)
An Analysis of Completely-Positive Trace-Preserving Maps on 2x2 Matrices (2000) (58)
A Nonsymmetric Correlation Inequality for Gaussian Measure (1999) (58)
Approximation of the Euclidean ball by polytopes (2006) (56)
On the minimum of several random variables (2006) (44)
Functional Versions of Lp-Affine Surface Area and Entropy Inequalities (2014) (43)
Non-additivity of Renyi entropy and Dvoretzky's Theorem (2009) (40)
Divergence for s-concave and log concave functions (2013) (38)
Orlicz norms of sequences of random variables (2002) (37)
Geometry of sets of quantum maps: A generic positive map acting on a high-dimensional system is not completely positive (2007) (34)
The Spherical Convex Floating Body (2014) (32)
Dropping a vertex or a facet from a convex polytope (2001) (29)
Halfspace depth and floating body (2018) (29)
How often is a random quantum state k-entangled? (2010) (29)
Homothetic floating bodies (1994) (28)
Study of a Class of Regularizations of 1/|x| Using Gaussian Integrals (1999) (26)
The floating body in real space forms (2016) (25)
Affine invariant points (2013) (24)
Mixed f‐divergence and inequalities for log‐concave functions (2014) (23)
New affine measures of symmetry for convex bodies (2011) (22)
Moduli of non-dentability and the radon-nikodým property in banach spaces (1989) (21)
Weighted floating bodies and polytopal approximation (2016) (20)
Orbifold Jacobian algebras for invertible polynomials (2016) (20)
Bipartite states of low rank are almost surely entangled (2008) (19)
Geometry of spaces between polytopes and related zonotopes. (2002) (18)
Relative entropies for convex bodies (2011) (18)
Minima of sequences of Gaussian random variables (2005) (18)
On the Homothety Conjecture (2009) (17)
Uniform estimates for order statistics and Orlicz functions (2008) (17)
FLOATING BODIES AND ILLUMINATION BODIES (2006) (16)
f-Divergence for convex bodies (2012) (16)
Approximation of smooth convex bodies by random polytopes (2017) (16)
The Surface Area Deviation of the Euclidean Ball and a Polytope (2015) (15)
On the approximation of a polytope by its dual $L_{p}$-centroid bodies (2011) (14)
On the geometry of projective tensor products (2016) (14)
Random polytopes with vertices on the boundary of a convex body (2000) (14)
Ulam floating bodies (2019) (14)
A general geometric construction for affine surface area (1997) (14)
The Löwner Function of a Log-Concave Function (2019) (12)
Dual Affine invariant points (2013) (12)
The convex floating body of almost polygonal bodies (1992) (11)
Confidence regions for means of multivariate normal distributions and a non-symmetric correlation inequality for gaussian measure (1997) (10)
Orbifold Jacobian Algebras for Exceptional Unimodal Singularities (2017) (10)
New higher-order equiaffine invariants (2009) (9)
A note on Mahler's conjecture (2010) (9)
Floating functions (2017) (8)
Floating and Illumination Bodies for Polytopes: Duality Results. (2017) (8)
Asymptotic normality for random simplices and convex bodies in high dimensions (2019) (8)
Blaschke–Santaló inequality for many functions and geodesic barycenters of measures (2020) (7)
Duality of floating and illumination bodies (2017) (7)
One Dimensional Regularizations of the Coulomb Potential with Application to Atoms in Strong Magnetic Fields (1999) (6)
Mixed ƒ-divergence for Multiple Pairs of Measures (2013) (6)
Convexity and Concentration (2017) (6)
Stability Results for Some Geometric Inequalities and Their Functional Versions (2013) (6)
Surface area deviation between smooth convex bodies and polytopes (2018) (4)
Flag numbers and floating bodies (2018) (4)
Some Open Problems in Asymptotic Geometric Analysis (2018) (4)
Constrained convex bodies with extremal affine surface areas (2019) (4)
A Steiner formula in the L Brunn Minkowski theory (2018) (3)
Mini-Workshop: Geometry of Quantum Entanglement (2009) (3)
A pair of optimal inequalities related to the error function (1997) (3)
Duality of Floating and Illumination Bodies for Polytopes (2017) (3)
A Characterization of Completely-Positive Trace-Preserving Maps on 2x2 Matrices (2000) (2)
The Convex Hull of Random Points on the Boundary of a Simple Polytope (2019) (2)
N ov 2 00 1 An Analysis of Completely-Positive Trace-Preserving Maps on M 2 (2001) (2)
Nondentable solid subsets in Banach lattices failing RNP. Applications to renormings (1989) (2)
ENYI ENTROPY AND DVORETZKY'S THEOREM (2010) (2)
Equality characterization and stability for entropy inequalities (2013) (1)
Floating bodies and approximation of convex bodies by polytopes (2022) (1)
Ulam Floating Body. (2018) (1)
Best and random approximation of a convex body by a polytope (2021) (1)
The Illumination Body of Almost Polygonal Bodies (1997) (1)
The Surface Area Deviation of the Euclidean Ball and a Polytope (2016) (1)
Spherical convex hull of random points on a wedge (2022) (0)
Ulam floating functions (2022) (0)
Affine invariant points (2015) (0)
Geometric representation of classes of concave functions and duality (2021) (0)
A pr 2 00 0 A Characterization of Completely-Positive Trace-Preserving Maps on M 2 (2008) (0)
The Löwner Function of a Log-Concave Function (2019) (0)
Quasi-Banach spaces which are unique predual (1988) (0)
Almost-floating bodies (2018) (0)
Floating functions (2019) (0)
Mini-Workshop: Perspectives in High-Dimensional Probability and Convexity (2018) (0)
FA ] 6 A ug 2 01 8 Floating functions ∗ (2018) (0)
FA ] 1 5 D ec 2 01 3 Equality characterization and stability for entropy inequalities ∗ (2013) (0)
New Perspectives and Computational Challenges in High Dimensions (2021) (0)
Affine Invariant Maps for Log-Concave Functions (2020) (0)
A convex body whose centroid and Santaló point are far apart (2010) (0)
Curvature functionals on convex bodies (2022) (0)
Interplay of convex geometry and Banach space theory (2013) (0)
Convex floating bodies of equilibrium (2020) (0)
Workshop on Affine Convex Geometric Analysis (2009) (0)
Orbifold Jacobian Algebras for Exceptional Unimodal Singularities (2017) (0)
ORLICZ NORMS OF SEQUENCES OF RANDOM VARIABLES BY YEHORAM GORDON,1 (2002) (0)

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Elisabeth M. Werner's Academic­Influence.com Rankings