Recent Papers

• G. Zhang, The affine Sobolev inequality, J. Differential Geom. 53(1999), 183--202.

• E. Lutwak, D. Yang, and G. Zhang, A new ellipsoid associated with convex bodies, Duke Math. J. 104(2000), 375--390.

• E. Lutwak, D. Yang, and G. Zhang, L_p affine isoperimetric inequalities, J. Differential Geom., 56(2000), 111--132.

• E. Lutwak, D. Yang, and G. Zhang, A new affine invariant for polytopes and Schneider's projection problem, Trans. Amer. Math. Soc., 353(2001), 1767--1779.

• E. Lutwak, D. Yang, and G. Zhang, The Cramer--Rao inequality for star bodies, Duke Math. J. 112(2002), 59--81.

• E. Lutwak, D. Yang, and G. Zhang, Sharp affine L_p Sobolev inequalities, J. Differential Geom., 62(2002), 17--38.

• E. Lutwak, D. Yang, and G. Zhang, Moment-entropy inequalities, Annals of Prob., 32(2004), 757--774.

• E. Lutwak, D. Yang, and G. Zhang, On the L_p-Minkowski problem, Trans. Amer. Math. Soc., 356 (2004), 4359-4370.

• B. Rubin and G. Zhang, Generalizations of the Busemann-Petty problem for sections of convex bodies, J. Funct. Anal., 213 (2004), 473--501.

• E. Lutwak, D. Yang, and G. Zhang, Volume inequalities for subspaces of L_p, J. Differential Geom., 68(2004), 159--184.

• E. Lutwak, D. Yang, and G. Zhang, Cramer-Rao and moment-entropy inequalities for Renyi entropy and generalized Fisher information, IEEE Trans. Info. Theory, 51(2005), 473--478.

• E. Lutwak, D. Yang, and G. Zhang, L_p John ellipsoids, Proc. London Math. Soc., 90(2005), 497--520.

• D. Hug, E. Lutwak, D. Yang, and G. Zhang, On the L_p Minkowski problem for polytopes, Discrete Comput. Geom., 33(2005), 699--715.