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Deane Yang

Full Professor Mathematics

    1983 …2020

    Research output per year

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    Research Output

    • 54 Article
    • 2 Letter
    • 1 Conference contribution
    • 1 Chapter (peer-reviewed)
    2020

    The Gauss Image Problem

    Böröczky, K. J., Lutwak, E., Yang, D., Zhang, G. & Zhao, Y., Jul 1 2020, In : Communications on Pure and Applied Mathematics. 73, 7, p. 1406-1452 47 p.

    Research output: Contribution to journalArticle

    Open Access
    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

    The Lp-Minkowski problem for −n < p < 1

    Bianchi, G., Böröczky, K. J., Colesanti, A. & Yang, D., Jan 7 2019, In : Advances in Mathematics. 341, p. 493-535 43 p.

    Research output: Contribution to journalArticle

    Une inégalité centro-projective

    Translated title of the contribution: A centro-projective inequalityVernicos, C. & Yang, D., Aug 2019, In : Comptes Rendus Mathematique. 357, 8, p. 681-685 5 p.

    Research output: Contribution to journalArticle

    Open Access
    2018

    Isometric embedding via strongly symmetric positive systems

    Chen, G. Q., Clelland, J., Slemrod, M., Wang, D. & Yang, D., 2018, In : Asian Journal of Mathematics. 22, 1, p. 1-40 40 p.

    Research output: Contribution to journalArticle

    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 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

    The Hadamard variational formula and the Minkowski problem for p-capacity

    Colesanti, A., Nyström, K., Salani, P., Xiao, J., Yang, D. & Zhang, G., Nov 5 2015, In : Advances in Mathematics. 285, p. 1511-1588 78 p.

    Research output: Contribution to journalArticle

    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., 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., 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 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 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 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 2011, In : Advances in Applied Mathematics. 47, 4, p. 869-873 5 p.

    Research output: Contribution to journalArticle

    2010

    Affine integral geometry from a differential viewpoint

    Yang, D., 2010, Handbook of Geometric Analysis. International Press of Boston, Inc., Vol. 2.

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

    A volume inequality for polar bodies

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

    Research output: Contribution to journalArticle

    2008

    Optimal mortgage refinancing: Application of bond valuation tools to household risk management

    Kalotay, A. J., Yang, D. & Fabozzi, F. J., Mar 2008, In : Applied Financial Economics Letters. 4, 2, p. 141-149 9 p.

    Research output: Contribution to journalArticle

    2007

    Moment-entropy inequalities for a random vector

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

    Research output: Contribution to journalArticle

    Refunding efficiency: A generalized approach

    Kalotay, A. J., Yang, D. & Fabozzi, F. J., May 2007, In : Applied Financial Economics Letters. 3, 3, p. 141-146 6 p.

    Research output: Contribution to journalArticle

    Volume inequalities for isotropic measures

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

    Research output: Contribution to journalArticle

    2006

    Chinese-American mathematicians [4]

    Yang, D., Nov 2006, In : Notices of the American Mathematical Society. 53, 10, 1 p.

    Research output: Contribution to journalLetter

    Optimal Sobolev norms and the Lp Minkowski problem

    Lutwak, E., Yang, D. & Zhang, G., 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., 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., 2004, In : Journal of Geometric Analysis. 14, 4, p. 597-612 16 p.

    Research output: Contribution to journalArticle

    An option-theoretic prepayment model for mortgages and mortgage-backed securities

    Kalotay, A., Yang, D. & Fabozzi, F. J., Dec 2004, In : International Journal of Theoretical and Applied Finance. 7, 8, p. 949-978 30 p.

    Research output: Contribution to journalArticle

    Moment-entropy inequalities

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

    Research output: Contribution to journalArticle

    Open Access

    On the Lp-Minkowski problem

    Lutwak, E., Yang, D. & Zhang, G., Nov 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., 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 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., 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
    Open Access
    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

    Deforming a map into a harmonic map

    Yang, D., 2000, In : Transactions of the American Mathematical Society. 352, 3, p. 1021-1038 18 p.

    Research output: Contribution to journalArticle

    Open Access

    Lp affine isoperimetric inequalities

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

    Research output: Contribution to journalArticle

    Open Access
    1994

    Bounds on the fundamental group of a manifold with almost nonnegative Ricci curvature

    Yang, D. & Rosenberg, S., 1994, In : Journal of the Mathematical Society of Japan. 46, p. 267-287

    Research output: Contribution to journalArticle

    Lp pinching and compactness theorems for compact Riemannian manifolds

    Yang, D., 1992, In : Forum Mathematicum. 4, p. 323-333

    Research output: Contribution to journalArticle

    Removing point singularities of Riemannian manifolds

    Yang, D. & Smith, PD., 1992, In : Transactions of the American Mathematical Society. 333, p. 203-219

    Research output: Contribution to journalArticle