Concepedia

Infinite Measure

Infinite Measure is a measure in mathematical analysis that assigns infinite size or extent to certain unbounded sets, distinguishing it from finite measures by allowing the measure of a set to be unbounded rather than constrained to a finite value.

124

Publications

4.3K

Citations

162

Authors

116

Institutions

Publications per year

2017–2026

7

Parents

Publications

124

On Equivalence of Infinite Product Measures

Shizuo Kakutani · Annals of Mathematics · 1948 · 446 citations

, , +6

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

Some Historical Issues and Paradoxes Regarding the Concept of Infinity: An Apos-Based Analysis: Part 1

Ed Dubinsky, Kirk Weller, M. McDonald et al. · Educational Studies in Mathematics · 2005 · 166 citations

, , +15

Transformations on [0, 1] with infinite invariant measures

Maximilian Thaler · Israel Journal of Mathematics · 1983 · 153 citations

, , +10

Measures on infinite dimensional Grassmann manifolds

Doug Pickrell · Journal of Functional Analysis · 1987 · 127 citations

, , +6

1–5 of 124

Authors

162

  1. AI
    Alexandre I. Danilenko

    B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine, Ukraine

    6 publications · 101 citations

    6

    h-index

  2. JA
    Jon Aaronson

    Tel Aviv University, Israel

    6 publications · 136 citations

    6

    h-index

  3. IM
    Ian Melbourne

    University of Houston, United States

    4 publications · 118 citations

    4

    h-index

  4. CE
    Cesar E. Silva

    Williams College, United States

    4 publications · 93 citations

    4

    h-index

  5. MT
    Maximilian Thaler

    University of Salzburg, Austria

    4 publications · 272 citations

    4

    h-index

1–5 of 162

Institutions

116

  1. Tel Aviv University

    Tel Aviv, Israel

    7 h-index

    7 publications

    129 citations

  2. B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine

    Kharkiv, Ukraine

    6 h-index

    6 publications

    89 citations

  3. Williams College

    Williamstown, United States

    4 h-index

    5 publications

    105 citations

  4. University of Maryland, College Park

    College Park, United States

    4 h-index

    5 publications

    110 citations

  5. The Ohio State University

    Columbus, United States

    4 h-index

    7 publications

    127 citations

  6. University of North Texas

    Denton, United States

    3 h-index

    3 publications

    257 citations

  7. University of Göttingen

    Göttingen, Germany

    3 h-index

    3 publications

    59 citations

  8. University of Salzburg

    Salzburg, Austria

    3 h-index

    3 publications

    119 citations

1–8 of 116

Venues

  1. Ergodic Theory and Dynamical Systems

    9 publications · 210 citations

    9

    h-index

  2. Israel Journal of Mathematics

    8 publications · 335 citations

    8

    h-index

  3. Transactions of the American Mathematical Society

    TRAN · 7 publications · 555 citations

    7

    h-index

  4. 4

    h-index

  5. Proceedings of the American Mathematical Society

    PROC · 4 publications · 110 citations

    4

    h-index

1–5