Concepedia

Mixed Volumes

Mixed Volumes is a fundamental concept in convex geometry that belongs to the class of geometric functionals, distinguished by its role as a multilinear extension of the volume functional to tuples of convex bodies, enabling the systematic study of their combined volumetric interactions through the polarization of the volume with respect to Minkowski addition.

113

Publications

7K

Citations

182

Authors

100

Institutions

Publications per year

2017–2026

11

Parents

Publications

113

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

Erwin Lutwak · Journal of Differential Geometry · 1993 · 838 citations · Full text

, , +8

Permutohedra, Associahedra, and Beyond

Alexander Postnikov · International Mathematics Research Notices · 2009 · 560 citations

, , +12

Intersection bodies and dual mixed volumes

Erwin Lutwak · Advances in Mathematics · 1988 · 503 citations

, , +5

Dual mixed volumes

Erwin Lutwak · Pacific Journal of Mathematics · 1975 · 377 citations · Full text

, , +9

An automated system for micro-batch protein crystallization and screening

Naomi E. Chayen, Patrick D. Shaw Stewart, D. L. Maeder et al. · Journal of Applied Crystallography · 1990 · 255 citations

, , +12

1–5 of 113

Authors

182

  1. EL
    Erwin Lutwak

    SUNY Polytechnic Institute, United States

    8 publications · 2.2K citations

    8

    h-index

  2. HJ
    Hailin Jin

    Shanghai University, China

    3 publications · 188 citations

    3

    h-index

  3. GL
    Gangsong Leng

    Shanghai University, China

    3 publications · 188 citations

    3

    h-index

  4. JM
    James McCoy

    University of Wollongong, Australia

    3 publications · 163 citations

    3

    h-index

  5. GZ
    Gaoyong Zhang

    Wuhan University, China

    3 publications · 278 citations

    3

    h-index

1–5 of 182

Institutions

100

  1. Karlsruhe Institute of Technology

    Karlsruhe, Germany

    3 h-index

    3 publications

    110 citations

  2. Michigan State University

    East Lansing, United States

    3 h-index

    5 publications

    171 citations

  3. China Jiliang University

    Hangzhou, China

    3 h-index

    3 publications

    49 citations

  4. Massachusetts Institute of Technology

    Cambridge, United States

    3 h-index

    3 publications

    614 citations

  5. University of Arizona

    Tucson, United States

    3 h-index

    4 publications

    99 citations

  6. Centre National de la Recherche Scientifique

    Paris, France

    2 h-index

    2 publications

    38 citations

  7. Laboratoire d’Analyse et de Mathématiques Appliquées

    Champs-sur-Marne, France

    2 h-index

    3 publications

    89 citations

  8. University of British Columbia

    Vancouver, Canada

    2 h-index

    2 publications

    40 citations

1–8 of 100

Venues

  1. Journal of Chemical & Engineering Data

    21 publications · 618 citations

    15

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 11 publications · 574 citations

    11

    h-index

  3. Mathematika

    4 publications · 92 citations

    4

    h-index

  4. Advances in Mathematics

    4 publications · 811 citations

    4

    h-index

  5. International Mathematics Research Notices

    IMRN · 3 publications · 602 citations

    3

    h-index

1–5