Concepedia

Approximation Exponents

Approximation Exponents is a mathematical metric in Diophantine Approximation that quantifies the rate at which real numbers can be approximated by rational numbers, distinguished by its characterization of the supremum of exponents for which infinitely many rational approximations satisfy a given approximation inequality.

55

Publications

1.6K

Citations

71

Authors

61

Institutions

Publications per year

2017–2026

4

Parents

Publications

55

On fractal measures and diophantine approximation

Dmitry Kleinbock, Elon Lindenstrauss, Barak Weiss · 2003 · 120 citations · Full text

, , +14

On fractal measures and diophantine approximation

Dmitry Kleinbock, Elon Lindenstrauss, Barak Weiss · Selecta Mathematica · 2005 · 101 citations

, , +14

Diophantine approximation and badly approximable sets

Simon Kristensen, Rebecca Thorn, Sanju Velani · Advances in Mathematics · 2005 · 84 citations

, , +13

On Exponents of Homogeneous and Inhomogeneous Diophantine Approximation

Yann Bugeaud, Michel Laurent · Moscow Mathematical Journal · 2005 · 80 citations

, , +8

On Schmidt and Summerer parametric geometry of numbers

Damien Roy · Annals of Mathematics · 2015 · 64 citations · Full text

, , +10

1–5 of 55

Authors

71

  1. DR
    Damien Roy

    University of Ottawa, Canada

    5 publications · 156 citations

    5

    h-index

  2. YB
    Yann Bugeaud

    Université de Strasbourg, France

    4 publications · 137 citations

    4

    h-index

  3. RC
    R. C. Vaughan

    Imperial College London, United Kingdom

    2 publications · 91 citations

    2

    h-index

  4. JB
    József Beck

    Hungarian Academy of Sciences, Hungary

    2 publications · 81 citations

    2

    h-index

  5. EL
    Elon Lindenstrauss

    Hebrew University of Jerusalem, Israel

    2 publications · 221 citations

    2

    h-index

1–5 of 71

Institutions

61

  1. University of Ottawa

    Ottawa, Canada

    5 h-index

    5 publications

    154 citations

  2. Balıkesir University

    Balıkesir, Türkiye

    3 h-index

    5 publications

    112 citations

  3. Brandeis University

    Waltham, United States

    3 h-index

    3 publications

    231 citations

  4. Université de Strasbourg

    Strasbourg, France

    2 h-index

    2 publications

    39 citations

  5. Centre National de la Recherche Scientifique

    Paris, France

    2 h-index

    4 publications

    78 citations

  6. Ben-Gurion University of the Negev

    Beersheba, Israel

    2 h-index

    2 publications

    221 citations

  7. Institute of Mathematics and Mechanics

    Baku, Azerbaijan

    2 h-index

    2 publications

    43 citations

  8. Imperial College London

    London, United Kingdom

    2 h-index

    2 publications

    91 citations

1–8 of 61

Venues

  1. Acta Arithmetica

    5 publications · 82 citations

    5

    h-index

  2. Annals of Mathematics

    4 publications · 179 citations

    4

    h-index

  3. Journal of the London Mathematical Society

    4 publications · 135 citations

    4

    h-index

  4. ArXiv.org

    Repository · 3 publications · 41 citations

    3

    h-index

  5. Journal of Number Theory

    3 publications · 45 citations

    3

    h-index

1–5