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JOURNALS // Diskretnaya Matematika

Diskr. Mat., 1999, Volume 11, Issue 2, Pages 86–102 (Mi dm369)

On the maximum of a critical branching process in a random environment
V. I. Afanasyev

This publication is cited in the following articles:
  1. Smadi Ch. Vatutin V., “Reduced Processes Evolving in a Mixed Environment”, Stoch. Models, 2022  crossref  isi
  2. Chen X., Guillotin-Plantard N., “Branching Processes in Correlated Random Environment”, Electron. Commun. Probab., 24 (2019), 71  crossref  isi
  3. Aurzada F., Devulder A., Guillotin-Plantard N., Pene F., “Random Walks and Branching Processes in Correlated Gaussian Environment”, J. Stat. Phys., 166:1 (2017), 1–23  crossref  mathscinet  zmath  isi  scopus
  4. Vatutin V. Dyakonova E., “Path to Survival For the Critical Branching Processes in a Random Environment”, J. Appl. Probab., 54:2 (2017), 588–602  crossref  mathscinet  isi  scopus
  5. V. I. Afanasyev, “On the time of attaining a high level by a transient random walk in a random environment”, Theory Probab. Appl., 61:2 (2017), 178–207  mathnet  crossref  crossref  mathscinet  isi  elib
  6. V. I. Afanasyev, “Functional limit theorem for a stopped random walk attaining a high level”, Discrete Math. Appl., 27:5 (2017), 269–276  mathnet  crossref  crossref  mathscinet  isi  elib
  7. Vatutin V., Liu Q., “Limit Theorems For Decomposable Branching Processes in a Random Environment”, J. Appl. Probab., 52:3 (2015), 877–893  crossref  mathscinet  zmath  isi  elib
  8. E. E. Dyakonova, “Branching processes in a Markov random environment”, Discrete Math. Appl., 24:6 (2014), 327–343  mathnet  crossref  crossref  mathscinet  elib  elib
  9. Elena Kosygina, Martin Zerner, “Excursions of excited random walks on integers”, Electron. J. Probab., 19:none (2014)  crossref
  10. V. A. Vatutin, E. E. Dyakonova, S. Sagitov, “Evolution of branching processes in a random environment”, Proc. Steklov Inst. Math., 282 (2013), 220–242  mathnet  crossref  crossref  mathscinet  isi  elib  elib
  11. V. I. Afanasyev, “Conditional limit theorem for maximum of random walk in a random environment”, Theory Probab. Appl., 58:4 (2014), 525–545  mathnet  crossref  crossref  mathscinet  isi  elib  elib
  12. V. A. Vatutin, “Total Population Size in Critical Branching Processes in a Random Environment”, Math. Notes, 91:1 (2012), 12–21  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
  13. V. I. Afanasyev, “Arcsine law for branching processes in a random environment and Galton–Watson processes”, Theory Probab. Appl., 51:3 (2007), 401–414  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
  14. V. I. Afanasyev, “On the ratio between the maximal and total numbers of individuals in a critical branching process in a random environment”, Theory Probab. Appl., 48:3 (2004), 384–399  mathnet  crossref  crossref  mathscinet  zmath  isi
  15. Afanasyev V.I., “On the maximum of a subcritical branching process in a random environment”, Stochastic Processes and Their Applications, 93:1 (2001), 87–107  crossref  mathscinet  zmath  isi  scopus
  16. V. I. Afanasyev, “On the time of attaining a maximum by a critical branching process in a random environment and by a stopped random walk”, Discrete Math. Appl., 10:3 (2000), 243–264  mathnet  crossref  mathscinet  zmath


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