Erwin Lutwak

Q: What Schools Are Affiliated With Erwin Lutwak

Erwin Lutwak is affiliated with the following schools: New York University, Bar-Ilan University, University of California, Berkeley, New York University Tandon School of Engineering, City University of Hong Kong

Erwin Lutwak's AcademicInfluence.com Rankings

Erwin Lutwak

Mathematics

#6697

World Rank

#9228

Historical Rank

#1976

USA Rank

Geometry

#168

World Rank

#241

Historical Rank

#31

USA Rank

Measure Theory

#2532

World Rank

#3040

Historical Rank

#716

USA Rank

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Mathematics

Why Is Erwin Lutwak Influential?

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According to Wikipedia, Erwin Lutwak , is a mathematician. Lutwak is professor emeritus at the Courant Institute of Mathematical Sciences at New York University in New York City. His main research interests are convex geometry and its connections with analysis and information theory.

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Erwin Lutwak'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

The Brunn-Minkowski-Firey theory. I. Mixed volumes and the Minkowski problem (1993) (755)
The Brunn–Minkowski–Firey Theory II: Affine and Geominimal Surface Areas (1996) (615)
Intersection bodies and dual mixed volumes (1988) (462)
L p Affine Isoperimetric Inequalities (2000) (399)
Dual mixed volumes (1975) (343)
The logarithmic Minkowski problem (2012) (314)
Sharp Affine LP Sobolev Inequalities (2002) (307)
Blaschke-Santaló inequalities (1997) (299)
The log-Brunn-Minkowski inequality (2012) (284)
The even Orlicz-Minkowski problem (2010) (270)
Orlicz projection bodies (2010) (261)
Orlicz centroid bodies (2010) (260)
On the regularity of solutions to a generalization of the Minkowski problem (1995) (226)
A new ellipsoid associated with convex bodies (2000) (215)
Geometric measures in the dual Brunn–Minkowski theory and their associated Minkowski problems (2016) (213)
Centroid Bodies and Dual Mixed Volumes (1990) (206)
On the Lp Minkowski Problem for Polytopes (2005) (187)
Affine Moser–Trudinger and Morrey–Sobolev inequalities (2009) (185)
Extended affine surface area (1991) (172)
Volume Inequalities for Subspaces of L p (2004) (170)
Lp John Ellipsoids (2005) (168)
On the _{}-Minkowski problem (2003) (157)
Optimal Sobolev norms and the Lp Minkowski problem (2006) (150)
Sharp Affine L P Sobolev Inequalities (2002) (143)
On some affine isoperimetric inequalities (1986) (133)
Selected Affine Isoperimetric Inequalities (1993) (129)
The Cramer-Rao inequality for star bodies (2002) (127)
ON THE BLASCHKE‐SANTALÓ INEQUALITY (1985) (117)
Mixed projection inequalities (1985) (110)
Inequalities for mixed projection bodies (1993) (104)
Moment-entropy inequalities (2004) (103)
Lp dual curvature measures (2018) (100)
Crame/spl acute/r-Rao and moment-entropy inequalities for Renyi entropy and generalized Fisher information (2005) (97)
Affine images of isotropic measures (2015) (78)
Volume of mixed bodies (1986) (75)
Volume inequalities for isotropic measures (2006) (72)
Mixed affine surface area (1987) (58)
A general isepiphanic inequality (1984) (54)
The dual Minkowski problem for symmetric convex bodies (2017) (53)
Inequalities for Hadwiger's harmonic quermassintegrals (1988) (47)
A new affine invariant for polytopes and Schneider’s projection problem (2001) (47)
A volume inequality for polar bodies (2010) (44)
The $L_p$-Aleksandrov problem for $L_p$-integral curvature (2018) (44)
Moment-Entropy Inequalities for a Random Vector (2007) (43)
The Brunn-Minkowski-Firey inequality for nonconvex sets (2012) (43)
Functional analytic characterizations of classes of convex bodies (1996) (42)
Extensions of Fisher Information and Stam's Inequality (2012) (42)
Mixed width-integrals of convex bodies (1977) (39)
Discrete geometry and convexity (1985) (37)
Width-integrals of convex bodies (1975) (34)
Information-theoretic inequalities for contoured probability distributions (2002) (33)
On Quermassintegrals of mixed projection bodies (1990) (31)
Bodies with similar projections (1997) (27)
On a conjectured projection inequality of Petty (1989) (27)
Mean dual and harmonic cross-sectional measures (1979) (26)
The Gauss Image Problem (2020) (24)
A countable set of directions is sufficient for Steiner symmetrization (2011) (23)
A general Bieberbach inequality (1975) (22)
Dual cross-sectional measures (1975) (20)
A new mouthstick prosthesis for handicapped patients. (1977) (18)
On some ellipsoid formulas of Busemann, Furstenberg and Tzkoni, Guggenheimer, and Petty (1991) (17)
Affine Moments of a Random Vector (2013) (16)
Affine MoserTrudinger and MorreySobolev inequalities (2009) (15)
A generalized affine isoperimetric inequality (2004) (15)
Containment and Circumscribing Simplices (1998) (14)
A Unified Approach to Cramér–Rao Inequalities (2014) (8)
On the Petty-Schneider theorem (1992) (8)
Functional analytic characterizations of classes of convex bodies (1996) (8)
Isoperimetric Inequalities Involving Bisectors (1980) (7)
On cross-sectional measures of polar reciprocal convex bodies (1976) (7)
A dual of the isepiphanic inequality (1976) (4)
On Isoperimetric Inequalities Related to a Problem of Moser (1979) (4)
A Characterization of the n- Dimensional Parallelotope (1976) (4)
Rotation means of projections (1987) (4)
On the semicontinuity of curvatures (1992) (4)
On the affine isoperimetric inequality (1990) (3)
A width-diameter inequality for convex bodies (1983) (3)
On power means of positive quadratic forms (1984) (1)
On packing curves into circles (1982) (1)
Dedicated to Prof. Dr Ludwig Danzer on the occasion of his 60th birthday (1990) (1)
A Minimax Inequality for Inscribed Cones (1993) (1)
ENCYCLOPEDIA OF MATHEMATICS AND ITS APPLICATIONS Symmetric Generation of Groups With Applications to Many of the Sporadic Finite Simple Groups (2007) (1)
On a complementary Minkowski inequality (1979) (1)
INTRODUCTION (1985) (0)
CENTROID BODIES (2010) (0)
PREFACE (1985) (0)
Inequalities for Mean Circumscribing Simplices (1997) (0)
THE CONE VOLUME MEASURE OF ANTIPODAL POINTS (2015) (0)
On the expected value of the euler-poincare characteristic of the intersection of two convex hypersurfaces (1978) (0)
INEQUALITIES FOR ISOTROPIC MEASURES (2006) (0)

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What Schools Are Affiliated With Erwin Lutwak?

Erwin Lutwak is affiliated with the following schools:

Erwin Lutwak's Academic­Influence.com Rankings

Why Is Erwin Lutwak Influential?

Erwin Lutwak's Published Works

Published Works

Other Resources About Erwin Lutwak

What Schools Are Affiliated With Erwin Lutwak?

Erwin Lutwak's AcademicInfluence.com Rankings