Concepedia

Möbius Transformations

Möbius Transformations is a conformal automorphism of the extended complex plane characterized by fractional linear transformations of the form \( z \mapsto \frac{az + b}{cz + d} \) where \( a, b, c, d \) are complex numbers with \( ad - bc \neq 0 \).

361

Publications

15.3K

Citations

659

Authors

381

Institutions

Publications per year

2017–2026

47

Variants

Bilinear TransformationsFractional Linear TransformationsMöbius Transformation

Parents

Publications

361

Fuzzy Measures and Integrals - Theory and Applications

Michel Grabisch, Toshiaki Murofushi, Michio Sugeno · HAL (Le Centre pour la Communication Scientifique Directe) · 2000 · 665 citations

, , +15

Hűckel molecular orbitals of Mőbius-type conformations of annulenes

E. Heilbronner · Tetrahedron Letters · 1964 · 525 citations

, , +12

Some characterizations of lower probabilities and other monotone capacities through the use of Möbius inversion

Alain Chateauneuf, Jean‐Yves Jaffray · Mathematical Social Sciences · 1989 · 465 citations

, , +11

Visual complex analysis

Choice Reviews Online · 1998 · 424 citations

, , +16

Möbius voting for surface correspondence

Yaron Lipman, Thomas Funkhouser · ACM Transactions on Graphics · 2009 · 326 citations

, , +16

1–5 of 361

Authors

659

  1. MG
    Michel Grabisch

    Université Paris 1 Panthéon-Sorbonne, France

    9 publications · 1.4K citations

    9

    h-index

  2. XG
    Xianfeng Gu

    Stony Brook University, United States

    4 publications · 132 citations

    4

    h-index

  3. JB
    Jibril Ben Achour

    Centre National de la Recherche Scientifique, France

    4 publications · 95 citations

    4

    h-index

  4. LV
    Lars V. Ahlfors

    Harvard University, United States

    4 publications · 174 citations

    4

    h-index

  5. YL
    Yaron Lipman

    Weizmann Institute of Science, Israel

    4 publications · 472 citations

    4

    h-index

1–5 of 659

Institutions

381

  1. Centre National de la Recherche Scientifique

    Paris, France

    9 h-index

    20 publications

    560 citations

  2. Kyoto University

    Kyoto, Japan

    8 h-index

    30 publications

    2.1K citations

  3. Sorbonne Université

    Paris, France

    7 h-index

    10 publications

    923 citations

  4. Technische Universität Berlin

    Berlin, Germany

    6 h-index

    9 publications

    454 citations

  5. Stony Brook University

    Stony Brook, United States

    6 h-index

    15 publications

    434 citations

  6. Universitat Autònoma de Barcelona

    Cerdanyola del Vallès, Spain

    5 h-index

    6 publications

    229 citations

  7. Imperial College London

    London, United Kingdom

    5 h-index

    9 publications

    210 citations

  8. University of Helsinki

    Helsinki, Finland

    5 h-index

    7 publications

    707 citations

1–8 of 381

Venues

  1. Proceedings of the American Mathematical Society

    PROC · 11 publications · 235 citations

    11

    h-index

  2. 7

    h-index

  3. Advances in Mathematics

    7 publications · 289 citations

    7

    h-index

  4. Annals of Mathematics

    6 publications · 975 citations

    6

    h-index

  5. 6

    h-index

1–5