Concepedia

Product Measures

Product Measure is a measure defined on the product σ-algebra of two measurable spaces that assigns to each measurable rectangle the value equal to the product of the measures of its component sets under the respective marginal measures.

166

Publications

11.4K

Citations

277

Authors

156

Institutions

Publications per year

2017–2026

25

Variants

Product Measure

Parents

Publications

166

Transportation cost for Gaussian and other product measures

Michel Talagrand · Geometric and Functional Analysis · 1996 · 462 citations

, , +7

On Equivalence of Infinite Product Measures

Shizuo Kakutani · Annals of Mathematics · 1948 · 446 citations

, , +6

Domination by product measures

Thomas M. Liggett, Roberto H. Schonmann, Alan Stacey · The Annals of Probability · 1997 · 439 citations · Full text

, , +9

Induced measures in the space of mixed quantum states

Journal of Physics A Mathematical and General · 2001 · 416 citations · Full text

, , +15

An extension of Kakutani’s theorem on infinite product measures to the tensor product of semifinite 𝑤*-algebras

Donald Bures · Transactions of the American Mathematical Society · 1969 · 364 citations · Full text

, , +8

1–5 of 166

Authors

277

  1. PA
    Pablo A. Ferrari

    Universidade de São Paulo, Brazil

    4 publications · 166 citations

    4

    h-index

  2. RA
    Roy A. Johnson

    W.E. Upjohn Institute for Employment Research, United States

    4 publications · 76 citations

    4

    h-index

  3. SR
    Sara Rosenblum

    University of Haifa, Israel

    3 publications · 201 citations

    3

    h-index

  4. SK
    Shizuo Kakutani

    Mathematical Institute of the Slovak Academy of Sciences, Slovakia

    3 publications · 509 citations

    3

    h-index

  5. JC
    John C. Oxtoby

    Bryn Mawr College, United States

    3 publications · 84 citations

    3

    h-index

1–5 of 277

Institutions

156

  1. Laboratoire d’Analyse et de Mathématiques Appliquées

    Champs-sur-Marne, France

    4 h-index

    4 publications

    350 citations

  2. University of Cambridge

    Cambridge, United Kingdom

    4 h-index

    7 publications

    276 citations

  3. Polish Academy of Sciences

    Warsaw, Poland

    4 h-index

    4 publications

    778 citations

  4. Syktyvkar State University

    Syktyvkar, Russia

    4 h-index

    4 publications

    254 citations

  5. University of Haifa

    Haifa, Israel

    3 h-index

    7 publications

    532 citations

  6. Université Fédérale de Toulouse Midi-Pyrénées

    Toulouse, France

    3 h-index

    3 publications

    314 citations

  7. Universidade de São Paulo

    São Paulo, Brazil

    3 h-index

    4 publications

    169 citations

  8. Delft University of Technology

    Delft, The Netherlands

    3 h-index

    6 publications

    215 citations

1–8 of 156

Venues

  1. The Annals of Probability

    11 publications · 1.2K citations

    10

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 11 publications · 955 citations

    10

    h-index

  3. Pacific Journal of Mathematics

    8 publications · 478 citations

    8

    h-index

  4. arXiv (Cornell University)

    Repository · 6 publications · 93 citations

    6

    h-index

  5. Proceedings of the American Mathematical Society

    PROC · 5 publications · 81 citations

    5

    h-index

1–5