Concepedia

Measurable Spaces

Measurable Spaces is a foundational construct in measure-theoretic probability consisting of a set equipped with a σ-algebra, which together define the domain for measurable functions and serve as the basis for assigning probabilities in a rigorous mathematical framework.

1.2K

Publications

66.9K

Citations

1.5K

Authors

653

Institutions

Publications per year

2017–2026

85

Parents

Publications

1.2K

Real and Complex Analysis.

G. A. Garreau, Walter Rudin · Journal of the Royal Statistical Society Series D (The Statistician) · 1987 · 11K citations

, , +16

Probability Measures on Metric Spaces.

K. R. Parthasarathy · Journal of the American Statistical Association · 1968 · 2.5K citations

, , +12

Probability Theory: Independence, Interchangeability, Martingales

Robert Lund, Y. S. Chow, Henry Teicher · Journal of the American Statistical Association · 1998 · 1.1K citations

, , +16

Contraction mappings in $b$-metric spaces

Stefan Czerwik · Czech digital mathematics library · 1993 · 1K citations · Full text

, , +9

An Axiomatic Approach to Measurable Utility

I. N. Herstein, John Milnor · Econometrica · 1953 · 714 citations

, , +9

1–5 of 1.2K

Authors

1.5K

  1. PG
    Peter G. Dodds

    Flinders University, Australia

    17 publications · 592 citations

    15

    h-index

  2. FS
    Fedor Sukochev

    UNSW Sydney, Australia

    14 publications · 428 citations

    13

    h-index

  3. VC
    Vladimir Chilin

    National University of Uzbekistan, Uzbekistan

    8 publications · 261 citations

    8

    h-index

  4. TK
    Theresa K.-Y. Dodds

    Flinders University, Australia

    8 publications · 320 citations

    8

    h-index

  5. BD
    B. de Pagter

    Delft University of Technology, Netherlands

    7 publications · 284 citations

    7

    h-index

1–5 of 1.5K

Institutions

653

  1. University of California, Berkeley

    Berkeley, United States

    14 h-index

    18 publications

    1.5K citations

  2. Flinders University

    Adelaide, Australia

    13 h-index

    26 publications

    772 citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    13 h-index

    20 publications

    1K citations

  4. Institute of Mathematics

    Warsaw, Poland

    11 h-index

    15 publications

    368 citations

  5. University of Oxford

    Oxford, United Kingdom

    10 h-index

    19 publications

    914 citations

  6. University of Wisconsin–Madison

    Madison, United States

    9 h-index

    13 publications

    1.2K citations

  7. Rutgers, The State University of New Jersey

    New Brunswick, United States

    8 h-index

    9 publications

    280 citations

  8. University of Washington

    Seattle, United States

    8 h-index

    9 publications

    288 citations

1–8 of 653

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 103 publications · 5.3K citations

    37

    h-index

  2. Pacific Journal of Mathematics

    72 publications · 3K citations

    32

    h-index

  3. The Annals of Probability

    38 publications · 2.5K citations

    25

    h-index

  4. Proceedings of the American Mathematical Society

    PROC · 63 publications · 1.5K citations

    22

    h-index

  5. Journal of Mathematical Analysis and Applications

    25 publications · 1.1K citations

    17

    h-index

1–5