Concepedia

Threshold Phenomena

Threshold Phenomena is a probabilistic framework in extremal combinatorics that characterizes the sharp transition in the likelihood of a combinatorial property emerging as a random structure crosses a critical threshold parameter.

679

Publications

38.1K

Citations

1.4K

Authors

670

Institutions

Publications per year

2017–2026

93

Parents

Publications

679

Auditory-nerve response from cats raised in a low-noise chamber

M. Charles Liberman · The Journal of the Acoustical Society of America · 1978 · 1.2K citations

, , +17

Optimal dynamical range of excitable networks at criticality

Osame Kinouchi, Mauro Copelli · Nature Physics · 2006 · 885 citations · Full text

, , +12

Improved treatment of threshold contributions in variational transition-state theory

Bruce C. Garrett, Donald G. Truhlar, Roger S. Grev et al. · The Journal of Physical Chemistry · 1980 · 699 citations

, , +10

Sharp thresholds of graph properties, and the $k$-sat problem

Ehud Friedgut, appendix by Jean Bourgain · Journal of the American Mathematical Society · 1999 · 692 citations · Full text

, , +9

Mathematical models of threshold phenomena in the nerve membrane

Richard Fitzhugh · Bulletin of Mathematical Biology · 1955 · 682 citations

, , +16

1–5 of 679

Authors

1.4K

  1. AS
    Allan Sly

    University of California, Berkeley, United States

    7 publications · 504 citations

    7

    h-index

  2. LY
    Linji Yang

    Guangxi University, China

    6 publications · 120 citations

    6

    h-index

  3. EV
    Eric Vigoda

    Georgia Institute of Technology, United States

    6 publications · 120 citations

    6

    h-index

  4. HL
    Hailiang Liu

    Iowa State University, United States

    6 publications · 330 citations

    6

    h-index

  5. CM
    Cristopher Moore

    Santa Fe Institute, United States

    5 publications · 381 citations

    5

    h-index

1–5 of 1.4K

Institutions

670

  1. Centre National de la Recherche Scientifique

    Paris, France

    20 h-index

    54 publications

    3.2K citations

  2. University of California, Berkeley

    Berkeley, United States

    13 h-index

    26 publications

    1.1K citations

  3. Princeton University

    Princeton, United States

    11 h-index

    20 publications

    1.3K citations

  4. Sorbonne Université

    Paris, France

    10 h-index

    13 publications

    895 citations

  5. Massachusetts Institute of Technology

    Cambridge, United States

    9 h-index

    19 publications

    819 citations

  6. Microsoft (United States)

    Redmond, United States

    9 h-index

    13 publications

    1.2K citations

  7. University of California, Los Angeles

    Los Angeles, United States

    9 h-index

    14 publications

    2K citations

  8. Hebrew University of Jerusalem

    Jerusalem, Israel

    9 h-index

    11 publications

    2.2K citations

1–8 of 670

Venues

  1. Random Structures and Algorithms

    19 publications · 925 citations

    17

    h-index

  2. Physical Review E

    PRE · 21 publications · 922 citations

    16

    h-index

  3. arXiv (Cornell University)

    Repository · 19 publications · 566 citations

    14

    h-index

  4. Nuclear Physics B

    12 publications · 682 citations

    13

    h-index

  5. Physics Letters B

    12 publications · 506 citations

    12

    h-index

1–5