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Erwin Lutwak

Full Professor Mathematics

    1975 …2019

    Research output per year

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    Research Output

    2019

    The dual Minkowski problem for symmetric convex bodies

    Böröczky, K. J., Lutwak, E., Yang, D., Zhang, G. & Zhao, Y., Nov 7 2019, In : Advances in Mathematics. 356, 106805.

    Research output: Contribution to journalArticle

    2018

    Lp dual curvature measures

    Lutwak, E., Yang, D. & Zhang, G., Apr 30 2018, In : Advances in Mathematics. 329, p. 85-132 48 p.

    Research output: Contribution to journalArticle

    The LP-Aleksandrov problem for LP-integral curvature

    Huang, Y., Lutwak, E., Yang, D. & Zhang, G., Sep 1 2018, In : Journal of Differential Geometry. 110, 1, p. 1-29 29 p.

    Research output: Contribution to journalArticle

    2017

    The dual Minkowski problem for symmetric convex bodies

    Böröczky, K. J., Lutwak, E., Yang, D., Zhang, G. & Zhao, Y., Mar 18 2017, In : arXiv.

    Research output: Contribution to journalArticle

    2016

    Geometric measures in the dual Brunn–Minkowski theory and their associated Minkowski problems

    Huang, Y., Lutwak, E., Yang, D. & Zhang, G., Jun 1 2016, In : Acta Mathematica. 216, 2, p. 325-388 64 p.

    Research output: Contribution to journalArticle

    2015

    Affine images of isotropic measures

    Böröczky, K. J., Lutwak, E., Yang, D. & Zhang, G., Mar 1 2015, In : Journal of Differential Geometry. 99, 3, p. 407-442 36 p.

    Research output: Contribution to journalArticle

    Open Access
    2014

    A unified approach to Cramér-rao inequalities

    Cianchi, A., Lutwak, E., Yang, D. & Zhang, G., Jan 2014, In : IEEE Transactions on Information Theory. 60, 1, p. 643-650 8 p., 6655985.

    Research output: Contribution to journalArticle

    2013

    Affine Moments of a Random Vector

    Lutwak, E., Lv, S., Yang, D. & Zhang, G., Aug 28 2013, In : IEEE Transactions on Information Theory. 59, 9, p. 5592-5599 8 p., 6524015.

    Research output: Contribution to journalArticle

    The logarithmic Minkowski problem

    Böröczky, K. J., Lutwak, E., Yang, D. & Zhang, G., Jun 12 2013, In : Journal of the American Mathematical Society. 26, 3, p. 831-852 22 p.

    Research output: Contribution to journalArticle

    2012

    Extensions of fisher information and stam's inequality

    Lutwak, E., Lv, S., Yang, D. & Zhang, G., Mar 1 2012, In : IEEE Transactions on Information Theory. 58, 3, p. 1319-1327 9 p., 6157091.

    Research output: Contribution to journalArticle

    The Brunn-Minkowski-Firey inequality for nonconvex sets

    Lutwak, E., Yang, D. & Zhang, G., Feb 1 2012, In : Advances in Applied Mathematics. 48, 2, p. 407-413 7 p.

    Research output: Contribution to journalArticle

    The log-Brunn-Minkowski inequality

    Böröczky, K. J., Lutwak, E., Yang, D. & Zhang, G., Oct 1 2012, In : Advances in Mathematics. 231, 3-4, p. 1974-1997 24 p.

    Research output: Contribution to journalArticle

    2011

    A countable set of directions is sufficient for Steiner symmetrization

    Bianchi, G., Klain, D. A., Lutwak, E., Yang, D. & Zhang, G., Oct 1 2011, In : Advances in Applied Mathematics. 47, 4, p. 869-873 5 p.

    Research output: Contribution to journalArticle

    2010

    A volume inequality for polar bodies

    Lutwak, E., Yang, D. & Zhang, G., Jan 1 2010, In : Journal of Differential Geometry. 84, 1, p. 163-178 16 p.

    Research output: Contribution to journalArticle

    Open Access

    Orlicz centroid bodies

    Lutwak, E., Yang, D. & Zhang, G., Jan 1 2010, In : Journal of Differential Geometry. 84, 2, p. 365-387 23 p.

    Research output: Contribution to journalArticle

    Open Access

    Orlicz projection bodies

    Lutwak, E., Yang, D. & Zhang, G., Jan 15 2010, In : Advances in Mathematics. 223, 1, p. 220-242 23 p.

    Research output: Contribution to journalArticle

    The even Orlicz Minkowski problem

    Haberl, C., Lutwak, E., Yang, D. & Zhang, G., Aug 1 2010, In : Advances in Mathematics. 224, 6, p. 2485-2510 26 p.

    Research output: Contribution to journalArticle

    2009

    Affine Moser-trudinger and Morrey-sobolev inequalities

    Cianchi, A., Lutwak, E., Yang, D. & Zhang, G., Oct 1 2009, In : Calculus of Variations and Partial Differential Equations. 36, 3, p. 419-436 18 p.

    Research output: Contribution to journalArticle

    2007

    Moment-entropy inequalities for a random vector

    Lutwak, E., Yang, D. & Zhang, G., Apr 1 2007, In : IEEE Transactions on Information Theory. 53, 4, p. 1603-1607 5 p.

    Research output: Contribution to journalArticle

    Volume inequalities for isotropic measures

    Lutwak, E., Yang, D. & Zhang, G., Dec 1 2007, In : American Journal of Mathematics. 129, 6, p. 1711-1723 13 p.

    Research output: Contribution to journalArticle

    2006

    Optimal Sobolev norms and the Lp Minkowski problem

    Lutwak, E., Yang, D. & Zhang, G., Mar 30 2006, In : International Mathematics Research Notices. 2006, p. 1-21 21 p.

    Research output: Contribution to journalArticle

    2005

    Lp John ellipsoids

    Lutwak, E., Yang, D. & Zhang, G., Jan 1 2005, In : Proceedings of the London Mathematical Society. 90, 2, p. 497-520 24 p.

    Research output: Contribution to journalArticle

    On the Lp minkowski problem for polytopes

    Hug, D., Lutwak, E., Yang, D. & Zhang, G., Apr 2005, In : Discrete and Computational Geometry. 33, 4, p. 699-715 17 p.

    Research output: Contribution to journalArticle

    2004

    A generalized affine isoperimetric inequality

    Chen, W., Howard, R., Lutwak, E., Yang, D. & Zhang, G., Dec 1 2004, In : Journal of Geometric Analysis. 14, 4, p. 597-612 16 p.

    Research output: Contribution to journalArticle

    Moment-entropy inequalities

    Lutwak, E., Yang, D. & Zhang, G., Jan 1 2004, In : Annals of Probability. 32, 1 B, p. 757-774 18 p.

    Research output: Contribution to journalArticle

    On the Lp-Minkowski problem

    Lutwak, E., Yang, D. & Zhang, G., Nov 1 2004, In : Transactions of the American Mathematical Society. 356, 11, p. 4359-4370 12 p.

    Research output: Contribution to journalArticle

    Volume inequalities for subspaces of Lp

    Lutwak, E., Yang, D. & Zhang, G., Jan 1 2004, In : Journal of Differential Geometry. 68, 1, p. 159-184 26 p.

    Research output: Contribution to journalArticle

    Open Access
    2002

    Information-theoretic inequalities for contoured probability distributions

    Guleryuz, O. G., Lutwak, E., Yang, D. & Zhang, G., Aug 1 2002, In : IEEE Transactions on Information Theory. 48, 8, p. 2377-2383 7 p.

    Research output: Contribution to journalLetter

    Sharp affine LP sobolev inequalities

    Lutwak, E., Yang, D. & Zhang, G., Jan 1 2002, In : Journal of Differential Geometry. 62, 1, p. 17-38 22 p.

    Research output: Contribution to journalArticle

    Open Access

    The Cramer-Rao inequality for star bodies

    Lutwak, E., Yang, D. & Zhang, G., Mar 15 2002, In : Duke Mathematical Journal. 112, 1, p. 59-81 23 p.

    Research output: Contribution to journalArticle

    2001

    A new affine invariant for polytopes and schneider's projection problem

    Lutwak, E., Yang, D. & Zhang, G., Dec 1 2001, In : Transactions of the American Mathematical Society. 353, 5, p. 1767-1779 13 p.

    Research output: Contribution to journalArticle

    2000

    A new ellipsoid associated with convex bodies

    Lutwak, E., Yang, D. & Zhang, G., Jan 1 2000, In : Duke Mathematical Journal. 104, 3, p. 375-390 16 p.

    Research output: Contribution to journalArticle

    Lp affine isoperimetric inequalities

    Lutwak, E., Yang, D. & Zhang, G., Jan 1 2000, In : Journal of Differential Geometry. 56, 1, p. 111-132 22 p.

    Research output: Contribution to journalArticle

    Open Access
    1998

    Containment and circumscribing simplices

    Lutwak, E., Mar 1998, In : Discrete and Computational Geometry. 19, 2, p. 229-235 7 p.

    Research output: Contribution to journalArticle

    Open Access
    1997

    Blaschke-santaló inequalities

    Lutwak, E. & Zhang, G., Jan 1 1997, In : Journal of Differential Geometry. 47, 1, p. 1-16 16 p.

    Research output: Contribution to journalArticle

    Open Access

    Bodies with similar projections

    Chakerian, G. D. & Lutwak, B., Dec 1 1997, In : Transactions of the American Mathematical Society. 349, 5, p. 1811-1820 10 p.

    Research output: Contribution to journalArticle

    Inequalities for Mean Circumscribing Simplices

    Lutwak, E., Jan 1 1997, In : Geometriae Dedicata. 66, 1, p. 119-124 6 p.

    Research output: Contribution to journalArticle

    1996

    Functional analytic characterizations of classes of convex bodies

    Goodey, P., Lutwak, E. & Weil, W., Jul 1996, In : Mathematische Zeitschrift. 222, 3, p. 363-381 19 p.

    Research output: Contribution to journalArticle

    The Brunn-Minkowski-Firey theory II: Affine and geominimal surface areas

    Lutwak, E., Mar 25 1996, In : Advances in Mathematics. 118, 2, p. 244-294 51 p.

    Research output: Contribution to journalArticle

    1995

    On the regularity of solutions to a generalization of the Minkowski problem

    Lutwak, E. & Oliker, V., Jan 1995, In : Journal of Differential Geometry. 41, 1, p. 227-246

    Research output: Contribution to journalArticle

    1993

    A Minimax Inequality for Inscribed Cones

    Lutwak, E., Jan 1 1993, In : Journal of Mathematical Analysis and Applications. 176, 1, p. 148-155 8 p.

    Research output: Contribution to journalArticle

    Inequalities for mixed projection bodies

    Lutwak, E., Oct 1993, In : Transactions of the American Mathematical Society. 339, 2, p. 901-916

    Research output: Contribution to journalArticle

    Selected affine isoperimetric inequalities

    Lutwak, E., 1993, Handbook of convex geometry. Amsterdam: North-Holland, Vol. A,B. p. 151-176

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

    The brunn-minkowski-firey theory I: Mixed volumes and the minkowski problem

    Lutwak, E., 1993, In : Journal of Differential Geometry. 38, 1, p. 131-150 20 p.

    Research output: Contribution to journalArticle

    1992

    On the Petty-Schneider theorem

    Lutwak, E., 1992, Geometric analysis: Proceedings of an AMS special session held October 12-13, 1991. American Mathematical Society, p. 31-37 (Contemporary Mathematics; vol. 140).

    Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

    On the semicontinuity of curvatures

    Lutwak, E., Dec 1 1992, In : Commentarii Mathematici Helvetici. 67, 1, p. 664-669 6 p.

    Research output: Contribution to journalArticle

    1991

    Extended affine surface area

    Lutwak, E., Jan 1991, In : Advances in Mathematics. 85, 1, p. 39-68 30 p.

    Research output: Contribution to journalArticle

    1990

    Centroid bodies and dual mixed volumes

    Lutwak, E., 1990, In : Proceedings of the London Mathematical Society. s3-60, 2, p. 365-391 27 p.

    Research output: Contribution to journalArticle