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Mathematics

D-Index
46
Citations
11246
World Ranking
1335
National Ranking
599

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

Erwin Lutwak is affiliated with the Courant Institute of Mathematical Sciences in the United States. Their research primarily spans various areas within mathematics, with a strong focus on applied mathematics.

The recent body of work by Lutwak includes publications in notable academic venues. Among these are:

  • The Gauss Image Problem, 2020, Communications on Pure and Applied Mathematics
  • Chord measures in integral geometry and their Minkowski problems, 2023, Communications on Pure and Applied Mathematics
  • BCM volume 65 issue 4 Cover and Front matter, 2022, Canadian Mathematical Bulletin

Lutwak's research interests encompass several interconnected topics. These include:

  • Point processes and geometric inequalities
  • Sparse and Compressive Sensing Techniques
  • Mathematical Approximation and Integration
  • Geometric Analysis and Curvature Flows
  • Diffusion and Search Dynamics

Their work contributes to subfields such as applied mathematics, computational mechanics, numerical analysis, and extends into molecular biology. The blend of these subfields reflects the interdisciplinary nature of their research.

Collaboration features prominently in Lutwak's career. Frequent coauthors include Deane Yang, Gaoyong Zhang, Károly J. Böröczky, Yiming Zhao, and Dongmeng Xi. This network supports a diverse and cooperative research environment.

Lutwak has published several articles in leading mathematics journals. The dominant venues for their publications are:

  • Communications on Pure and Applied Mathematics
  • Canadian Mathematical Bulletin

In recognition of contributions to mathematics, Lutwak was named a Fellow of the American Mathematical Society in 2013.

Best Publications

  • The Brunn-Minkowski-Firey theory. I. Mixed volumes and the Minkowski problem

    Erwin Lutwak

  • The Brunn–Minkowski–Firey Theory II: Affine and Geominimal Surface Areas

    Erwin Lutwak

  • Lp Affine Isoperimetric Inequalities

    Erwin Lutwak;Deane Yang;Gaoyong Zhang

  • Intersection bodies and dual mixed volumes

    Erwin Lutwak

  • Dual mixed volumes.

    Erwin Lutwak

  • The logarithmic Minkowski problem

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

  • Blaschke-Santaló inequalities

    Erwin Lutwak;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

  • Centroid Bodies and Dual Mixed Volumes

    Erwin Lutwak

  • 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

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

    Erwin Lutwak;Vladimir Oliker

  • 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

  • Extended affine surface area

    Erwin Lutwak

  • L p Affine Isoperimetric Inequalities

    Erwin Lutwak;Deane Yang;Gao-Yong Zhang

Frequent Co-Authors

Gaoyong Zhang
Gaoyong Zhang New York University
Deane Yang
Deane Yang New York University
Andrea Cianchi
Andrea Cianchi University of Florence
Wenxiong Chen
Wenxiong Chen Yeshiva University

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