Concepedia

Lebesgue Dimension

Lebesgue Dimension is a topological invariant defined as the smallest integer \( n \) such that every open cover of a space admits a refinement in which no point is included in more than \( n+1 \) overlapping sets, thereby quantifying the intrinsic dimensional complexity of topological spaces.

86

Publications

3.6K

Citations

143

Authors

106

Institutions

Publications per year

2017–2026

9

Variants

Lebesgue Covering Dimension

Parents

Publications

86

Liouville quantum gravity and KPZ

Bertrand Duplantier, Scott Sheffield⋆ · Inventiones mathematicae · 2010 · 469 citations

, , +9

Transition to chaos by interaction of resonances in dissipative systems. I. Circle maps

Mogens H. Jensen, Per Bak, Tomas Bohr · Physical review. A, General physics · 1984 · 424 citations

, , +17

Smoothness of projections, Bernoulli convolutions, and the dimension of exceptions

Yuval Peres, Wilhelm Schlag · Duke Mathematical Journal · 2000 · 215 citations

, , +9

Self-similar measures and intersections of Cantor sets

Yuval Peres, Boris Solomyak · Transactions of the American Mathematical Society · 1998 · 144 citations · Full text

, , +10

Fractal dimension in nonhyperbolic chaotic scattering

Yun-Tung Lau, John M. Finn, Edward Ott · Physical Review Letters · 1991 · 120 citations

, , +13

1–5 of 86

Authors

143

  1. KH
    Kai Hormann

    Università della Svizzera italiana, Switzerland

    4 publications · 177 citations

    4

    h-index

  2. LB
    Len Bos

    University of Calgary, Canada

    3 publications · 138 citations

    3

    h-index

  3. BS
    Boris Solomyak

    University of Washington, United States

    3 publications · 212 citations

    3

    h-index

  4. SD
    Stefano De Marchı

    University of Padua, Italy

    3 publications · 138 citations

    3

    h-index

  5. YP
    Yuval Peres

    Microsoft (United States), United States

    3 publications · 381 citations

    3

    h-index

1–5 of 143

Institutions

106

  1. University of Padua

    Padua, Italy

    5 h-index

    8 publications

    305 citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    4 h-index

    4 publications

    151 citations

  3. Università della Svizzera italiana

    Lugano, Switzerland

    4 h-index

    5 publications

    216 citations

  4. John Brown University

    Siloam Springs, United States

    3 h-index

    3 publications

    75 citations

  5. University of Verona

    Verona, Italy

    3 h-index

    3 publications

    138 citations

  6. CEA Paris-Saclay

    Gif-sur-Yvette, France

    2 h-index

    2 publications

    482 citations

  7. South China University of Technology

    Guangzhou, China

    2 h-index

    3 publications

    86 citations

  8. CEA Paris-Saclay - Etablissement de Saclay

    Saclay, France

    2 h-index

    2 publications

    482 citations

1–8 of 106

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 6 publications · 364 citations

    6

    h-index

  2. Journal of Approximation Theory

    4 publications · 150 citations

    4

    h-index

  3. Duke Mathematical Journal

    DMJ · 3 publications · 289 citations

    3

    h-index

  4. Pacific Journal of Mathematics

    3 publications · 99 citations

    3

    h-index

  5. Proceedings of the American Mathematical Society

    PROC · 3 publications · 33 citations

    3

    h-index

1–5