Deane Yang
Professor
Mathematics
- Phone: (718) 260-3540
- Email: dyang@poly.edu
- Location: RH 305A
- Website: http://www.math.poly.edu/~yang
Education
Harvard University, Class of 1983
Doctor of Philosophy, Mathematics
University of Pennsylvania, Class of 1979
Bachelor of Arts, Mathematics and Physics
Experience
Polytechnic University
Professor
From: August 1991 to present
Columbia University
Visiting Associate Professor
From: August 1989 to May 1991
Rice University
Assistant/Associate Professor
From: January 1985 to May 1989
NYU Courant Institute of Mathematical Sciences
NSF Postdoctoral Fellow
From: August 1983 to January 1985
Research Interests
Convex geometric analysis,
Riemannian geometry,
Partial differential equationsMemberships
Journal Articles
Recently published refereed journal articles
Note on copyright issues: This material is presented to ensure timely dissemination of scholarly and technical work. Copyright and all rights therein are retained by authors or by other copyright holders. All persons copying this information are expected to adhere to the terms and constraints invoked by each author's copyright. In most cases, these works may not be reposted without the explicit permission of the copyright holds.
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E. Lutwak, D. Yang, G. Zhang. A new ellipsoid associated with convex bodies, Duke Mathematical Journal 104 (2000) 375-390.
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E. Lutwak, D. Yang, G. Zhang. Lp affine isoperimetric inequalities, Journal of Differential Geometry 56 (2000) 111-132.
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E. Lutwak, D. Yang, G. Zhang. A new affine invariant for polytopes and Schneider's projection problem. Transactions of the AMS 353 (2001) 1767-1779.
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O. Guleryuz, E. Lutwak, D. Yang, G. Zhang. Information theoretic inequalities for contoured probability distributions, IEEE Transactions on Information Theory 48 (2002) 2377-2383.
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E. Lutwak, D. Yang, G. Zhang. The Cramer-Rao inequality for star bodies, Duke Mathematical Journal 112 (2002) 59-81.
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E. Lutwak, D. Yang, G. Zhang. Sharp affine Lp Sobolev Inequalities, Journal of Differential Geometry 62 (2002) 17-38.
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E. Lutwak, D. Yang, G. Zhang. Moment-entropy inequalities, Annals of Probability 32 (2004) 757-774.
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E. Lutwak, D. Yang, G. Zhang. On the Lp-Minkowski problem, Transactions of the AMS 356 (2004) 4359-4370.
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D. Hug, E. Lutwak, D. Yang, and G. Zhang, On the Lp Minkowski problem for polytopes, Discrete and Computational Geometry (2005) 699-715.
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E. Lutwak, D. Yang, and G. Zhang, Lp John ellipsoids, Proceedings of the London Mathematical Society 90 (2005) 497-520.
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E. Lutwak, D. Yang, and G. Zhang, Volume inequalities for subspaces of Lp, Journal of Differential Geometry 68 (2004) 159-184.
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W. Chen, R. Howard, E. Lutwak, D. Yang, and G. Zhang, A generalized affine isoperimetric inequality, Journal of Geometric Analysis 14 (2004) 597-612.
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E. Lutwak, D. Yang, G. Zhang. Cramer-Rao and moment-entropy inequalities for Renyi entropy and generalized Fisher information, IEEE Transactions on Information Theory 51 (2005) 473-478.
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E. Lutwak, D. Yang, G. Zhang. Optimal Sobolev Norms and the Lp Minkowski Problem, International Mathematical Research Notices (2006) 1-21.
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E. Lutwak, D. Yang, G. Zhang. Volume Inequalities for Isotropic Measures, American Journal of Mathematics 129 (2007) 1711-1723.
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E. Lutwak, D. Yang, G. Zhang. Moment-entropy inequalities for a random vector, IEEE Transactions on Information Theory 53 (2007) 1603-1607.
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D. Yang, Affine Integral Geometry from a Differentiable Viewpoint, Handbook of Geometric Analysis vol. 2, to appear.
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A. Cianchi, E. Lutwak, D. Yang, G. Zhang. Affine Moser-Trudinger and Morrey-Sobolev inequalities, Calculus of Variations and PDE's 36 (2009) 419-436.
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E. Lutwak, D. Yang, G. Zhang. Orlicz projection bodies, Advances in Mathematics 223 (2010) 220-242.
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C. Haberl, E. Lutwak, D. Yang, G. Zhang. The even Orlicz Minkowski problem, Advances in Mathematics 224 (2010) 2485-2510.
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E. Lutwak, D. Yang, G. Zhang. A volume inequality for polar bodies, Journal of Differential Geometry 84 (2010) 163-178.
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E. Lutwak, D. Yang, G. Zhang. Orlicz centroid bodies, Journal of Differential Geometry 84 (2010) 365-387.
Other Publications
Unpublished articles
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