Concepedia

Approximation On Manifolds

Approximation On Manifolds is a theoretical framework in Diophantine Approximation that studies the extent to which points on differentiable manifolds can be approximated by rational points, subject to the geometric and arithmetic constraints imposed by the manifold's structure.

134

Publications

6.1K

Citations

181

Authors

112

Institutions

Publications per year

2017–2026

14

Parents

Publications

134

Flows on Homogeneous Spaces and Diophantine Approximation on Manifolds

Dmitry Kleinbock, G. A. Margulis · Annals of Mathematics · 1998 · 381 citations

, , +11

Modifications and Cobounding Manifolds

Andrew H. Wallace · Canadian Journal of Mathematics · 1960 · 343 citations · Full text

, , +6

Uniform manifold approximation and projection

John Healy, Leland McInnes · Nature Reviews Methods Primers · 2024 · 263 citations

, , +9

Approximate inertial manifolds for the Kuramoto-Sivashinsky equation: Analysis and computations

Michael S. Jolly, I.G. Kevrekidis, Edriss S. Titi · Physica D Nonlinear Phenomena · 1990 · 251 citations

, , +12

ON IMBEDDING, CONTINUATION AND APPROXIMATION THEOREMS FOR DIFFERENTIABLE FUNCTIONS OF SEVERAL VARIABLES

Sergei M Nikol'skii · Russian Mathematical Surveys · 1961 · 249 citations

, , +6

1–5 of 134

Authors

181

  1. VB
    Victor Beresnevich

    University of York, United Kingdom

    6 publications · 355 citations

    6

    h-index

  2. MM
    M. M. Dodson

    University of York, United Kingdom

    4 publications · 87 citations

    4

    h-index

  3. SV
    Sanju Velani

    University of York, United Kingdom

    4 publications · 201 citations

    4

    h-index

  4. JV
    James Vickers

    University of Southampton, United Kingdom

    3 publications · 65 citations

    3

    h-index

  5. TA
    T. A. Chapman

    University of Kentucky, United States

    3 publications · 67 citations

    3

    h-index

1–5 of 181

Institutions

112

  1. University of York

    York, United Kingdom

    11 h-index

    21 publications

    672 citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    5 h-index

    6 publications

    183 citations

  3. Brandeis University

    Waltham, United States

    3 h-index

    4 publications

    166 citations

  4. University of Pittsburgh

    Pittsburgh, United States

    3 h-index

    5 publications

    116 citations

  5. Tata Institute of Fundamental Research

    Mumbai, India

    3 h-index

    7 publications

    97 citations

  6. University of Southampton

    Southampton, United Kingdom

    3 h-index

    5 publications

    119 citations

  7. University of Tennessee at Knoxville

    Knoxville, United States

    3 h-index

    3 publications

    57 citations

  8. University of Vienna

    Vienna, Austria

    2 h-index

    2 publications

    34 citations

1–8 of 112

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 14 publications · 692 citations

    12

    h-index

  2. Russian Mathematical Surveys

    3 publications · 357 citations

    3

    h-index

  3. Nonlinear Analysis

    3 publications · 54 citations

    3

    h-index

  4. Annals of Mathematics

    3 publications · 544 citations

    3

    h-index

  5. Journal of Differential Equations

    3 publications · 88 citations

    3

    h-index

1–5