World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
38
Citations
6775
World Ranking
2323
National Ranking
982

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

Deane Yang is affiliated with New York University in the United States and works primarily in the field of Mathematics. Their research spans several subfields, including Applied Mathematics, Numerical Analysis, Computational Mechanics, Molecular Biology, and Computer Vision and Pattern Recognition.

The scientist's research topics cover a diverse range of areas, with notable emphasis on Point processes and geometric inequalities, Mathematical Approximation and Integration, and Geometric Analysis and Curvature Flows. Other significant topics in their work include Sparse and Compressive Sensing Techniques, Diffusion and Search Dynamics, Digital Image Processing Techniques, and Relativity and Gravitational Theory.

Deane Yang has published extensively, with key papers appearing in recognized journals and preprint repositories. Recent publications include:

  • "The Gauss Image Problem" (2020), published in Communications on Pure and Applied Mathematics
  • "Chord measures in integral geometry and their Minkowski problems" (2023), Communications on Pure and Applied Mathematics
  • "The Lp chord Minkowski problem" (2023), Advanced Nonlinear Studies
  • "Minkowski problems for geometric measures" (2025), Bulletin of the American Mathematical Society
  • "Minkowski Problems for Geometric Measures" (2025), arXiv (Cornell University)

Deane Yang often collaborates with other researchers, frequently co-authoring with:

  • Gaoyong Zhang
  • Erwin Lutwak
  • Yiming Zhao
  • Dongmeng Xi
  • Károly J. Böröczky

The scientist's work appears regularly in specific venues such as Communications on Pure and Applied Mathematics, Advanced Nonlinear Studies, Bulletin of the American Mathematical Society, and arXiv (Cornell University).

Deane Yang was recognized as a Fellow of the American Mathematical Society in 2013.

Best Publications

  • Lp Affine Isoperimetric Inequalities

    Erwin Lutwak;Deane Yang;Gaoyong Zhang

  • The logarithmic Minkowski problem

    Károly J. Böröczky;Erwin Lutwak;Deane Yang;Gaoyong Zhang

  • Sharp Affine LP Sobolev Inequalities

    Erwin Lutwak;Deane Yang;Gaoyong Zhang

  • On the _{}-Minkowski problem

    Erwin Lutwak;Deane Yang;Gaoyong Zhang

  • The log-Brunn-Minkowski inequality

    Károly J. Böröczky;Erwin Lutwak;Deane Yang;Gaoyong Zhang

  • The even Orlicz-Minkowski problem

    Christoph Haberl;Erwin Lutwak;Deane Yang;Gaoyong Zhang

  • Orlicz centroid bodies

    Erwin Lutwak;Deane Yang;Gaoyong Zhang

  • Orlicz projection bodies

    Erwin Lutwak;Deane Yang;Gaoyong Zhang

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

    Yong Huang;Erwin Lutwak;Deane Yang;Gaoyong Zhang

  • A new ellipsoid associated with convex bodies

    Erwin Lutwak;Deane Yang;Gaoyong Zhang

  • Lp John Ellipsoids

    Erwin Lutwak;Deane Yang;Gaoyong Zhang

  • On the L p Minkowski Problem for Polytopes

    Daniel Hug;Erwin Lutwak;Deane Yang;Gaoyong Zhang

  • Affine Moser–Trudinger and Morrey–Sobolev inequalities

    Andrea Cianchi;Erwin Lutwak;Deane Yang;Gaoyong Zhang

  • Optimal Sobolev norms and the Lp Minkowski problem

    Erwin Lutwak;Deane Yang;Gaoyong Zhang

  • Volume Inequalities for Subspaces of L p

    Erwin Lutwak;Deane Yang;Gaoyong Zhang

  • Crame/spl acute/r-Rao and moment-entropy inequalities for Renyi entropy and generalized Fisher information

    E. Lutwak;Deane Yang;Gaoyong Zhang

  • The Cramer-Rao inequality for star bodies

    Erwin Lutwak;Deane Yang;Gaoyong Zhang

  • L p Affine Isoperimetric Inequalities

    Erwin Lutwak;Deane Yang;Gao-Yong Zhang

  • Lp dual curvature measures

    Erwin Lutwak;Deane Yang;Gaoyong Zhang

  • Convergence of riemannian manifolds with integral bounds on curvature. I

    Deane Yang

  • Sharp Affine L P Sobolev Inequalities

    Erwin Lutwak;Deane Yang;Gao-Yong Zhang

Frequent Co-Authors

Gaoyong Zhang
Gaoyong Zhang New York University
Erwin Lutwak
Erwin Lutwak Courant Institute of Mathematical Sciences
Frank J. Fabozzi
Frank J. Fabozzi Johns Hopkins University
Andrea Cianchi
Andrea Cianchi University of Florence
Wenxiong Chen
Wenxiong Chen Yeshiva University
Gui-Qiang Chen
Gui-Qiang Chen University of Oxford
Marshall Slemrod
Marshall Slemrod University of Wisconsin–Madison
Robert L. Bryant
Robert L. Bryant Duke University
Phillip A. Griffiths
Phillip A. Griffiths Institute for Advanced Study

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