Concepedia

Branching Markov Chains

Branching Markov Chains is a stochastic process that extends the classical Markov chain by allowing each state to generate a random number of offspring particles, each evolving independently according to the same transition mechanism, thereby combining the branching structure of population dynamics with the memoryless state transitions of Markovian processes.

256

Publications

13.6K

Citations

306

Authors

212

Institutions

Publications per year

2017–2026

13

Parents

Publications

256

The Theory of Branching Processes

Peter Ney, T. E. Harris · Technometrics · 1965 · 2.5K citations

, , +12

On Branching Processes with Random Environments: I: Extinction Probabilities

Krishna B. Athreya, Samuel Karlin · The Annals of Mathematical Statistics · 1971 · 383 citations · Full text

, , +15

On Branching Processes in Random Environments

Walter L. Smith, William E. Wilkinson · The Annals of Mathematical Statistics · 1969 · 361 citations · Full text

, , +6

Modeling customer relationships as Markov chains

Phillip E. Pfeifer, Robert L. Carraway · Journal of Interactive Marketing · 2000 · 342 citations

, , +9

Martingale convergence in the branching random walk

J. D. Biggins · Journal of Applied Probability · 1977 · 311 citations

, , +15

1–5 of 256

Authors

306

  1. VV
    Vladimir Vatutin

    Steklov Mathematical Institute, Russia

    11 publications · 208 citations

    11

    h-index

  2. AG
    Anthony G. Pakes

    The University of Western Australia, Australia

    7 publications · 278 citations

    7

    h-index

  3. PJ
    Peter Jagers

    Chalmers University of Technology, Sweden

    5 publications · 282 citations

    5

    h-index

  4. KB
    Krishna B. Athreya

    Iowa State University, United States

    5 publications · 568 citations

    5

    h-index

  5. ЕB
    Е. B. Yarovaya

    Lomonosov Moscow State University, Russia

    5 publications · 132 citations

    5

    h-index

1–5 of 306

Institutions

212

  1. Steklov Mathematical Institute

    Moscow, Russia

    12 h-index

    15 publications

    284 citations

  2. Université Paris Cité

    Paris, France

    10 h-index

    13 publications

    824 citations

  3. Centre National de la Recherche Scientifique

    Paris, France

    10 h-index

    19 publications

    976 citations

  4. Sorbonne Université

    Paris, France

    9 h-index

    12 publications

    883 citations

  5. Beijing Normal University

    Beijing, China

    7 h-index

    9 publications

    198 citations

  6. Russian Academy of Sciences

    Moscow, Russia

    6 h-index

    10 publications

    176 citations

  7. Lomonosov Moscow State University

    Moscow, Russia

    5 h-index

    5 publications

    129 citations

  8. Chalmers University of Technology

    Gothenburg, Sweden

    5 h-index

    7 publications

    279 citations

1–8 of 212

Venues

  1. Stochastic Processes and their Applications

    34 publications · 1.2K citations

    21

    h-index

  2. Probability Theory and Related Fields

    13 publications · 706 citations

    13

    h-index

  3. Advances in Applied Probability

    AAP · 14 publications · 686 citations

    12

    h-index

  4. Journal of Applied Probability

    JAP · 12 publications · 623 citations

    11

    h-index

  5. The Annals of Probability

    11 publications · 602 citations

    11

    h-index

1–5