Concepedia

Crump-mode-jagers Processes

Crump-Mode-Jagers Processes is a continuous-time branching process in which individuals reproduce according to a Poisson process with rates modulated by their random lifetimes and offspring distributions, generalizing classical branching processes by allowing dependence on the entire ancestral lineage and variable individual reproductive behavior.

15

Publications

585

Citations

16

Authors

16

Institutions

Publications per year

2017–2026

1

Variants

Cmj Processes

Parents

Publications

15

Seneta-Heyde norming in the branching random walk

J. D. Biggins, Andreas E. Kyprianou · The Annals of Probability · 1997 · 145 citations · Full text

, , +16

The contour of splitting trees is a Lévy process

Amaury Lambert · The Annals of Probability · 2010 · 123 citations · Full text

, , +15

On a relationship between processor-sharing queues and Crump–Mode–Jagers branching processes

S. A. Grishechkin · Advances in Applied Probability · 1992 · 52 citations

, , +16

The Growth and Spread of the General Branching Random Walk

J. D. Biggins · The Annals of Applied Probability · 1995 · 50 citations · Full text

, , +13

Scaling limits via excursion theory: Interplay between Crump–Mode–Jagers branching processes and processor-sharing queues

Amaury Lambert, Florian Simatos, Bert Zwart · The Annals of Applied Probability · 2013 · 41 citations · Full text

, , +16

1–5 of 15

Authors

16

  1. AL
    Amaury Lambert

    Sorbonne Université, France

    3 publications · 175 citations

    3

    h-index

  2. PO
    Peter Olofsson

    Trinity University, United States

    2 publications · 22 citations

    2

    h-index

  3. JD
    J. D. Biggins

    University of Sheffield, United Kingdom

    2 publications · 195 citations

    2

    h-index

  4. CF
    C. F. Klebaner

    The University of Melbourne, Australia

    2 publications · 36 citations

    2

    h-index

  5. AE
    Andreas E. Kyprianou

    University of Bath, United Kingdom

    1 publications · 145 citations

    1

    h-index

1–5 of 16

Institutions

16

  1. The University of Melbourne

    Melbourne, Australia

    2 h-index

    2 publications

    36 citations

  2. Trinity University

    San Antonio, United States

    2 h-index

    2 publications

    22 citations

  3. Sorbonne Université

    Paris, France

    2 h-index

    2 publications

    138 citations

  4. University of California, Merced

    Merced, United States

    1 h-index

    1 publications

    10 citations

  5. Durham University

    Durham, United Kingdom

    1 h-index

    1 publications

    13 citations

  6. Université Paris Lumières

    Paris, France

    1 h-index

    1 publications

    123 citations

  7. University of Sheffield

    Sheffield, United Kingdom

    1 h-index

    1 publications

    145 citations

  8. Laboratoire de Probabilités et Modèles Aléatoires

    Paris, France

    1 h-index

    1 publications

    41 citations

1–8 of 16

Venues

  1. Advances in Applied Probability

    AAP · 5 publications · 117 citations

    5

    h-index

  2. The Annals of Probability

    3 publications · 300 citations

    3

    h-index

  3. The Annals of Applied Probability

    2 publications · 91 citations

    2

    h-index

  4. Journal of Applied Probability

    JAP · 2 publications · 23 citations

    2

    h-index

  5. Bernoulli

    1 publications · 12 citations

    1

    h-index

1–5