Concepedia

Ultrametric Spaces

Ultrametric Spaces is a metric space in which the triangle inequality is strengthened to the condition that the distance between any two points is at most the maximum of the distances between each of those points and a third point.

271

Publications

13.1K

Citations

369

Authors

250

Institutions

Publications per year

2017–2026

33

Variants

Non-archimedean Metric Spaces

Parents

Publications

271

Hierarchical structure in financial markets

Rosario N. Mantegna · The European Physical Journal B · 1999 · 2K citations · Full text

, , +16

Metric Spaces and Completely Monotone Functions

I. J. Schoenberg · Annals of Mathematics · 1938 · 995 citations

, , +11

Ultrametricity for physicists

R. Rammal, G. Toulouse, M. A. Virasoro · Reviews of Modern Physics · 1986 · 759 citations

, , +8

Nature of the Spin-Glass Phase

Marc Mézard, Giorgio Parisi, Nicolas Sourlas et al. · Physical Review Letters · 1984 · 530 citations · Full text

, , +13

Application of statistical mechanics to NP-complete problems in combinatorial optimisation

Yuchen Fu, Philip W. Anderson · Journal of Physics A Mathematical and General · 1986 · 326 citations

, , +14

1–5 of 271

Authors

369

  1. OD
    Oleksiy Dovgoshey

    Institute of Applied Mathematics and Mechanics, Ukraine

    11 publications · 255 citations

    11

    h-index

  2. AB
    A. Blumen

    University of Freiburg, Germany

    8 publications · 206 citations

    8

    h-index

  3. EP
    Evgeniy Petrov

    Institute of Applied Mathematics and Mechanics, Ukraine

    7 publications · 167 citations

    7

    h-index

  4. AY
    Andrei Yu. Khrennikov

    Växjö Kommun, Sweden

    6 publications · 314 citations

    6

    h-index

  5. HH
    Henryk Hudzik

    Adam Mickiewicz University in Poznań, Poland

    6 publications · 122 citations

    6

    h-index

1–5 of 369

Institutions

250

  1. Institute of Applied Mathematics and Mechanics

    Cherkasy, Ukraine

    8 h-index

    15 publications

    384 citations

  2. Adam Mickiewicz University in Poznań

    Poznan, Poland

    6 h-index

    9 publications

    200 citations

  3. University of Freiburg

    Freiburg im Breisgau, Germany

    5 h-index

    9 publications

    244 citations

  4. Centre National de la Recherche Scientifique

    Paris, France

    5 h-index

    9 publications

    2.4K citations

  5. Institute of Mathematics

    Warsaw, Poland

    5 h-index

    6 publications

    128 citations

  6. University of Bayreuth

    Bayreuth, Germany

    4 h-index

    9 publications

    162 citations

  7. Lomonosov Moscow State University

    Moscow, Russia

    4 h-index

    5 publications

    126 citations

  8. Vanderbilt University

    Nashville, United States

    4 h-index

    4 publications

    192 citations

1–8 of 250

Venues

  1. 12

    h-index

  2. Topology and its Applications

    10 publications · 209 citations

    10

    h-index

  3. Proceedings of the American Mathematical Society

    PROC · 8 publications · 193 citations

    8

    h-index

  4. arXiv (Cornell University)

    Repository · 6 publications · 120 citations

    6

    h-index

  5. Journal of Physics A Mathematical and General

    6 publications · 460 citations

    6

    h-index

1–5