Espérances et majorations pour un processus de branchement spatial markovien

Alain Rouault

Annales de l'I.H.P. Probabilités et statistiques (1987)

  • Volume: 23, Issue: 3, page 459-497
  • ISSN: 0246-0203

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Rouault, Alain. "Espérances et majorations pour un processus de branchement spatial markovien." Annales de l'I.H.P. Probabilités et statistiques 23.3 (1987): 459-497. <http://eudml.org/doc/77301>.

@article{Rouault1987,
author = {Rouault, Alain},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {spatial branching process; large deviations; action integral; Cramer transform; supercritical Galton-Watson process; variational formulas},
language = {fre},
number = {3},
pages = {459-497},
publisher = {Gauthier-Villars},
title = {Espérances et majorations pour un processus de branchement spatial markovien},
url = {http://eudml.org/doc/77301},
volume = {23},
year = {1987},
}

TY - JOUR
AU - Rouault, Alain
TI - Espérances et majorations pour un processus de branchement spatial markovien
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1987
PB - Gauthier-Villars
VL - 23
IS - 3
SP - 459
EP - 497
LA - fre
KW - spatial branching process; large deviations; action integral; Cramer transform; supercritical Galton-Watson process; variational formulas
UR - http://eudml.org/doc/77301
ER -

References

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  1. [1] R. Azencott et G. Ruget, Mélanges d'équations différentielles et grands écarts à la loi des grands nombres, Zeits. für Wahr., t. 38, 1977, p. 1-54. Zbl0372.60082MR443097
  2. [2] J.D. Biggins, Chemoff's Theorem in the Branching Random Walk, J. of Appl. Prob., t. 14, 1977, p. 630-646. Zbl0373.60090MR464415
  3. [3] F.H. Clarke, Generalized Gradients and Applications, Trans. of the Amer. Math. Soc., t. 205, 1975, p. 247-262. Zbl0307.26012MR367131
  4. [4] F.H. Clarke, The Euler-Lagrange Differential Inclusion, J. of Diff. Eq., t. 19, 1975, p. 80-90. Zbl0323.49021MR388196
  5. [5] J. Neveu, Arbres et processus de Galton-Wtson AnnI.H.P., vol. 22, n° 2, 1986. Zbl0601.60082MR850756
  6. [6] A. Rouault, Probabilités de présence dans un processus de branchement spatial markovien, Ann. I.H.P., vol. 23, n° 1, 1987. Zbl0611.60082MR877384
  7. [7] G. Ruget, Large Déviations and More or Less Rare Events in Population Dynamics, Colloque Luminy; Lect. Notes in Biom., n° 49, 1981, p. 388-400. Zbl0559.92020
  8. [8] A.D. Ventsel, Rough Limit Theorems on Large Deviations for Markov Stochastic Processes, Théor. of Prob. and its Appl., t. 21, n° 2, 1976, p. 227-242 et t. 21, n° 3, p. 499-512. Zbl0361.60006MR433566

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