Erwin Lutwak
Professor
Mathematics
- Phone: (718) 260-3366
- Email: elutwak@duke.poly.edu
- Location: Rogers Hall 321H
Education
Polytechnic Institute of Brooklyn
Doctor of Philosophy,
Research Interests
Convex geometry, geometric and analytic inequalities
Memberships
Journal Articles
1. Orlicz centroid bodies (with D. Yang and G. Zhang) J. Differential Geom. 84 (2010), 365–387.
2. The even Orlicz Minkowski problem (with C. Haberl, D. Yang and G. Zhang) Adv. Math. 224 (2010), 2485–2510.
3. Orlicz projection bodies (with D. Yang and G. Zhang) Adv. Math. 223 (2010), 220–242
4. A volume inequality for polar bodies (with D. Yang and G. Zhang) J. Differential Geom. 84 (2010), 163–178,
5. Affine Moser-Trudinger and Morrey-Sobolev inequalities (with A. Cianchi, D. Yang and G. Zhang) Calc. Var. Partial Differential Equations 36 (2009), 419–436.
6. Volume inequalities for isotropic measures (with D. Yang and G. Zhang) Amer. J. Math. 129 (2007), 1711–1723.
7. Moment-entropy inequalities for a random vector (with D. Yang and G. Zhang) IEEE Trans. Inform. Theory 53 (2007), 1603–1607.
8. Optimal Sobolev norms and the Lp Minkowski problem (with D. Yang and G. Zhang) Int. Math. Res. Not. 2006, Art. ID 62987
9. Cramér-Rao and moment-entropy inequalities for Renyi entropy and generalized Fisher information (with D. Yang and G. Zhang) IEEE Trans. Inform. Theory 51 (2005), 473–478.
10. Lp John ellipsoids (with D. Yang and G. Zhang) Proc. London Math. Soc. (3) 90 (2005), 497–520.
11. Volume inequalities for subspaces of Lp (with D. Yang and G. Zhang) J. Differential Geom. 68 (2004), 159–184.
12. On the Lp-Minkowski problem (with D. Yang and G. Zhang) Trans. Amer. Math. Soc. 356 (2004), 4359–4370
13. Moment-entropy inequalities (with D. Yang and G. Zhang) Ann. Probab. 32 (2004), 757–774.
14. Sharp affine Lp Sobolev inequalities. J. Differential Geom. 62 (2002), 17–38.
15. Information-theoretic inequalities for contoured probability distributions (with O. Guleryuz, D. Yang, Deane, and G. Zhang) IEEE Trans. Inform. Theory 48 (2002), 2377–2383
16. The Cramer-Rao inequality for star bodies. Duke Math. J. 112 (2002), 59–81.
17. A new affine invariant for polytopes and Schneider's projection problem (with D. Yang and G. Zhang) Trans. Amer. Math. Soc. 353 (2001), 1767–1779
18. Lp affine isoperimetric inequalities (with D. Yang and G. Zhang) J. Differential Geom. 56 (2000), 111–132.
19. A new ellipsoid associated with convex bodies (with D. Yang and G. Zhang) Duke Math. J. 104 (2000), 375–390.
20. Blaschke-Santaló inequalities (with G. Zhang) J. Differential Geom. 47 (1997), 1–16, 52A40
21. The Brunn-Minkowski-Firey theory. II. Affine and geominimal surface areas. Adv. Math. 118 (1996), 244–294.
22. On the regularity of solutions to a generalization of the Minkowski problem (with V. Oliker) J. Differential Geom. 41 (1995), 227–246.
23. The Brunn-Minkowski-Firey theory. I. Mixed volumes and the Minkowski problem. J. Differential Geom. 38 (1993), 131–150.
24. On the semicontinuity of curvatures. Comment. Math. Helv. 67 (1992), 664–669.
25. Extended affine surface area. Adv. Math. 85 (1991), 39–68.
26. Centroid bodies and dual mixed volumes. Proc. London Math. Soc. (3) 60 (1990), 365–391.
27. Intersection bodies and dual mixed volumes. Adv. in Math. 71 (1988), 232–261.
28. Inequalities for Hadwiger's harmonic Quermassintegrals. Math. Ann. 280 (1988), 165–175.
29. On some affine isoperimetric inequalities. J. Differential Geom. 23 (1986), 1–13.