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[3] Azencott (R.), Cours de l'Ecole d'Eté de Saint-Flour, Lecture Notes in Math. n° 774 (1978).

[4] Azencott (R.) - Ruget (G.), Mélanges d'équations différentielles et grands écarts à la loi des grand nombres. Zeits. für Wahr., 1977,t.38,p.1-54. | MR | Zbl | DOI

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[6] Benton (S.), The Hamilton-Jacobi Equation : A global approach. Academic Press, New York, 1977. | Zbl | MR

[7] Biggins (J.D.), The first- and last - birth problems for a multitype age-dependent branching process. Adv. Appl. Prob. 1976, t.8, p.446-459 | MR | Zbl | DOI

[8] Biggins (J.D.), Martingale convergence in the branching random walk. Journ. of Appl. Prob. 1977, t. 14, p. 25-37. | MR | Zbl | DOI

[9] Biggins (J.D.), Chernoff's theorem in the branching random walk. Journ. of Appl. Prob. 1977. t.14, p. 630-636. | MR | Zbl | DOI

[10] Biggins (J.D.), The asymptotic shape of the branching random walk. Adv. Appl. Prob. 1978, t.10, p. 62. | MR | Zbl | DOI

[11] Biggins (J.D.), Growth rates in the branching random walk. Zeits. für Wahrs. 1979, t. 48, p. 17-34. | MR | Zbl | DOI

[12] Biggins (J.D.), Spatial Spread in branching processes, in "Biological growth and spread". Lecture Notes in Biom. 1979, t.38. | MR | Zbl

[13] Biggins (J.D.), Limiting point processes in the branching random walk. Zeits für Wahrs. 1981, t.55, p. 297-303. | MR | Zbl | DOI

[14] Hammersley (J.M.), Postulates for subadditive processes. Ann. Prob. 1974, t.2, p. 652-680. | MR | Zbl

[15] Jagers (P.), Branching processes with biological applications. Wiley, London, 1975. | MR | Zbl

[16] Kingman (J.F.C.), The first birth problem for an age-dependent branching process. Ann. Prob. 1975, t.12, p. 341-345. | MR | Zbl

[17] Laredo (C.), Quelques études asymptotiques en dynamique de populations 1981, Thèse de 3ème cycle, Paris-Sud.

[18] Laredo (C.), Morel (J.M.), Propriétés de stabilité de l'opérateur décrivant la répartition spatio-temporelle..., Comptes-Rendus A.S. 1984.

[19] Lax (P.D.), Hyperbolic systems of conservation laws, II, Comm. Pure Appl. Math. 1957, t.10, p. 537-566. | MR | Zbl | DOI

[20] Lions (P.L.), Generalized solutions of Hamilton-Jacobi equations. Pitman, London, 1982. | MR | Zbl

[21] Neveu (J.), Arbres et processus de Galton-Watson (à paraître). | Zbl | MR | Numdam

[22] Neymann (J.) - Scott (E.L.), Processes of clustering and applications, in Stochastic Point Processes edit. P.A.W. Lewis, Wiley, New York, 1972. | Zbl

[23] Pierre-Loti-Viaud (D.), Etude de phénomènes hystérétiques en dynamique de populations, 1984, Thèse de 3ème cycle, Paris-Sud.

[24] Ruget (G.), Large deviations and more or less rare events in population dynamics. Colloque Luminy. Lect. Notes in Biom. 1981, t.49, p. 388. | Zbl

[25] Ruget (G.), Grandes déviations et dynamique des populations. Eleventh Conference on "Stoch. Proc. and Their Appl." in (idem), 1983, t.16, p. 10-11.

[26] Sevastyanov (B.A.), Branching processes. Nauka. Moscou, 1971. | MR | Zbl

[27] Ventsel (A.D.), Rough limit theorems on large deviations for Markov stochastic processes. Theor. of Prob. and its Appl. 1976, t.21, n°2, p. 227-242 et t. 21, n° 3, p. 499-512. | Zbl | MR | DOI

[R1] Lois de Zipf et sources markoviennes Annales de l'IHP. XIV n° 2, 169-188 (1978) et XV n° 2, 195-196 (1979) | Zbl | Numdam

[R2]* Estimation simultanée de l'espérance et de la variance pour un processus de Galton-Watson (en collaboration avec C. Duby) Note aux CRAS, 290, 339-341 (1980) | MR | Zbl

[R3] Lois empiriques dans les processus de branchement spatiaux Note aux CRAS, 292, 933-936 (1981) | MR | Zbl

[R4]** Une généralisation du paramètre de Malthus pour les processus de Crump-Mode-Jagers spatiaux (en collaboration avec C. Laredo) Note aux CRAS, 193, 481-484 (1981) | MR | Zbl

[R5] Estimation simultanée de l'espérance et de la variance pour un processus de Galton-Watson (en collaboration avec C. Duby) Annales de l'IHP, XVIII, n° 2, 149-163 (1982)

[R6] Grandes déviations, dynamique de populations et phénomènes malthusiens (en collaboration avec C. Laredo) Annales de l'IHP, XIV, n°4, 323-350 (1983) | MR | Zbl | Numdam

[R7] Comportement asymptotique d'un processus de branchement spatial en zone sous-critique Note aux CRAS, 299, 887-890 (1984) | MR | Zbl

[R8] Probabilités de présence dans un processus de branchement spatial markovien (soumis aux CRAS et aux Annales de l'IHP) | Zbl

[R9] Espérances et majorations pour les processus de branchement spatiaux markoviens (soumis aux Annales de l'IHP)

[1] B. M. Brown, Martingale central limit theorems, Ann. Math. Stat., t. 42, 1971, p. 59-66. | MR | Zbl | DOI

[2] B. M. Brown, J. I. Hewitt, Inference for the diffusion branching process, J. A. P. t. 12, 1975, p. 588-594. | MR | Zbl

[3] J. P. Dion, Estimation des probabilités initiales et de la moyenne d'un processus de Galton-Watson. Thèse, Montréal, 1972. | MR

[4] J. P. Dion, Estimation of the variance of a branching process. Ann. Stat., t. 3, 1975, p. 1183-1187. | MR | Zbl

[5] J. Dion, N. Keiding, Statistical inférence in branching processes, In Branching Processes edited by Joffe and Ney. Advances in Probability and Related Topics, t. 5, 1978, M. Dekker. | MR | Zbl

[6] C. Duby, A. Rouault, C. R. A. S., t. 290, 1980, p. 339-341. | Zbl

[7] W. Eschenbach, W. Winkler, Maximum-likelihood-shätzungen beim Verzwei-gungsprozess von Galton-Watson. Math. Operations forsch, u. Stat., t. 6, 1975, p. 213-224. | MR | Zbl | DOI

[8] C. C. Heyde, On estimating the variance of the offspring distribution in a simple branching process, Adv. in Appl. Prob., t. 6, 1974, p. 421-433. | MR | Zbl | DOI

[9] C. C. Heyde, On an optimal asymptotic property of the maximum likelihood estimator of a parameter from a stochastic process. Stochastic Processes and their applications, t. 8, 1978, p. 1-9. | MR | Zbl | DOI

[10] C. C. Heyde, Some almost sure convergence theorems for branching processes, Z. Wahrscheinlichkeitstheorie, t. 20, 1971, p. 189-192. | MR | Zbl | DOI

[11] C. C. Heyde, B. M. Brown, An invariance principle and some convergence rate results for branching processes. Z. Wahrscheilichkeitstheorie, t.20, 1971, p. 271-278. | MR | Zbl | DOI

[12] C. C. Heyde, P. D. Feigin, On efficiency and exponential families in stochastic process estimation. In : Statistical distributions in scientific work (ed. G. P. Patil, S. Kotz, J. K. Ord), Reidel, Dordrecht, t. 1, 1975, p. 227-240.

[13] P. Jagers, Branching processes with biological applications, Wiley, 1975. | MR | Zbl

[14] N. Keiding, S. Lauritzen, Marginal maximum likelihood estimates and estimation of the offspring mean in a branching process. Scand. J. Statist., t. 5, 1978. | MR | Zbl

[15] Petrov, Sums of independent random variables, Springer-Verlag, 1975. | MR | Zbl

[16] Scott, A central limit theorem for martingales and an application to branching processes. Stochastic Processes and Their Applications, t. 6, 1978, p. 241-252. | MR | Zbl | DOI

[17] L. Weiss, J. Wolfowitz, Generalized maximum likelihood estimators. Theory of Prob. and its Appl., vol. XI, 1966, p. 58-80. | MR | Zbl

[18] N. M. Yanev, On the statistics of branching processes. Theory of Prob. and its appl., t. 20, 1975, p. 612-622. | MR | Zbl

[1] Azencott (R.), Cours de l'Ecole d'Eté de Saint-Flour, Lecture Notes in Math, n° 774 (1978).

[2] Azencott (R.), Ruget (G.), Mélanges d'équations différentielles et grands écarts à la loi des grands nombres. Zeits. für Wahrs., 1977, t. 38, p. 1-54 | MR | Zbl | DOI

[3] Ekeland (I.), Turnbull (T.), Infinite dimensional optimization and convexity. The University of Chicago Press, 1983. | MR | Zbl

[4] Rockafellar (R.T.), Convex Analysis, Princeton University Press, 1970. | Zbl | DOI

[1] K. B. Athreya, P. E. Ney, Branching processes, Springer-Verlag, 1972. | Zbl

[2] B. Brainerd, On the relation between types and tokens in a litterary text. J. Appl. Prob., t. 9, 1972, p. 507-518. | Zbl | DOI

[3] B. M. Hill, The rank-frequency form of Zipf's law. J. Amer. Stat. Assoc., vol. 69, no. 348, 1974, p. 1017-1026. | Zbl | DOI

[4] Hill-Woodroofe stronger forms of Zipf's law. J. Amer. Stat. Assoc., vol. 70, no. 349, 1975, p. 212-219. | Zbl | DOI

[5] B. M. Hill, M. Woodroofe, On Zipf's law. J. of Appl. Prob., t. 12, 1975, p. 425-434. | Zbl | DOI

[6] S. Karlin, Central limit theorems for certain infinite urn schemes. J. of Math. And Mech., vol. 17, no 4, 1967, p. 373-401. | Zbl

[7] B. Mandelbrot, On the theory of word frequencies and on related markovian models of discourse. Symposium an Applied Mathem., vol. XII, 1962.

[8] D. N. Mcneil, Estimating an author's vocabulary. J. of Amer. Stat. Assoc., vol. 68, no. 341, 1973, p. 92-96. | DOI

[9] C. J. Mode, Multitype branching processes. American Elsevier, New York, 1971. | Zbl

[10] S. S. Wilks, Mathematical Statistics. Wiley, New York, London, 1962. | Zbl

[1'] Arjas (E.), Speed (T.P.), An extension of Cramer's estimate for the absorption probability of a random walk. Proc. Camb. Phil. Soc., 1973, t. 73, p. 355-359 | Zbl | DOI

[2'] Donsker (M.D.), Varadhan (S.R.S.), Asymptotic evaluation of certain Markov process expectations for large time. Comm. Pure Appl. Math. 1975, t. 28, p. 1-47 et t. 29, p. 389-461 | Zbl | DOI

[3'] Keilson (J.), Wishart (D.M.G.), A central limit theorem for processes defined on a finite Markov chain. Proc. Camb. Phil. Soc. 1964, t. 60, p. 547-567. | Zbl | DOI

[4'] Miller (H.D.), A convexity property in the theory of random variables defined on a finite Markov chain. Ann. Math. Stat, 1961, t. 32, p. 1260-1270. | Zbl | DOI

[5'] Mode (C.J.), Multitype branching processes. American Elsevier, New-York, 1971. | Zbl

[6'] Sanov (I.N.), On the probability of large deviations of random variables. Selected Transl. Math. Stat. Prob., 1961, t 1, p. 213-244. | Zbl

[1] K. B. Athreya, P. Ney, Branching processes (Springer-Verlag), Berlin, 1972. | Zbl

[2] R. Azencott, Cours de l'École d'Été de Saint-Flour. Lecture Notes in Math., n° 774, Springer, 1978.

[3] R. Azencott, G. Ruget, Mélanges d'équations différentielles et grands écarts à la loi des grands nombres. Zeits. für Wahr. t. 38, 1977, p. 1-54. | Zbl | DOI

[4] J. D. Biggins, Chernoff's theorem in the branching random walk. Journ. of Appl. Prob., t. 14, 1977, p. 630-636. | Zbl | DOI

[5] J. D. Biggins, The asymptotic shape of the branching random walk. Adv. in Appl. Prob., t. 10, 1978, p. 62-84. | Zbl | DOI

[6] J. D. Biggins, Growth rates in the branching random walk. Zeits. für Wahr. t. 48, 1979, p. 17-34. | Zbl | DOI

[7] J. D. Biggins, Spatial spread in branching processes, in « Biological growth and spread ». Lecture Notes in Biomath., n° 38, Springer, 1979. | Zbl

[8] J. D. Biggins, Private communication, 1980.

[9] D. L. Burkholder, B. J. Davis, R. F. Gundy, Integral inequalities for convex functions of operators on martingales, 6th Berkeley symposium, t. II, 1970. | Zbl

[10] P. Jagers, Branching processes with biological applications. Wiley, London, 1979. | Zbl

[11] N. Kaplan, S. Asmussen, Branching random walks II. Stochastic Proc. and their Appl., t. 4, 1976, p. 15-31. | Zbl | DOI

[12] K. Matthes, J. Kerstan, J. Mecke, Infinitely divisible point processes. Wiley Chichester, 1978. | Zbl

[13] A. Rouault, Lois empiriques pour les processus de branchement spatiaux homogènes supercritiques. Note aux C.R.A.S., t. 292, 1981, p. 933. | Zbl

[14] A. Rouault, Les processus de branchement multitypes spatiaux dans l'asymptotique des grandes déviations, 1981, (à paraître).

[15] A. D. Ventsel, Rough limit theorems on large deviations for Markov stochastic processes. Theory of Prob. and its Appl., t. 21, n° 2, 1976, p. 227-242, et t. 21, n° 3. 1976, p. 499-512 | Zbl | DOI

[1] Athreya-Ney, Branching Processes, Springer Verlag, 1972. | Zbl

[2] Biggins, J. Appl. Prob., 14, 1977, p. 630-636. | Zbl | DOI

[3] Séminaire Orsay, 1977-1978, Grandes déviations et applications statistiques (Astérisque, n° 68). | Zbl | Numdam

[4] Groenboom, Oosterhoff et Ruymgaart, Ann. Prob., 7, 1979, p. 553-586. | Zbl

[5] Kallenberg, Random Measures, Academic Press, 1976. | Zbl

[6] Kallenberg, Math. Nachr., 77, 1977, p. 7-43. | Zbl | DOI

[7] Matthes, Kerstan et Mecke, Infinitely Divisible Point Processes, Wiley, 1978. | Zbl

[1] Azencott (R.) Ruget (G.), Mélanges d'équations différentielles et grands écarts à la loi des grands nombres. Zeits. für Wahr., 1977, t. 38, p. 1-54. | Zbl | DOI

[2] Biggins (J.D.), Chernoff's theorem in the branching random walk, Journ. of Appl. Prob., 1977, t. 14, p. 630-636. | Zbl | DOI

[3] Biggins (J.D.), Growth rates in the branching random walk, Zeits. für Wahr., 1979, t. 48, p. 17-34. | Zbl | DOI

[4] Freidlin (M.I.), Ventsel (A.D.), Random perturbations of dynamical systems, Springer, Berlin 1984. | Zbl | DOI

[5] Jagers (P.), Branching processes with biological applications. Wiley, London 1975. | Zbl

[6] Laredo (C.), Rouault (A.), Grandes déviations, dynamique de populations et phénomènes malthusiens, Ann. de l'IHP, 1983, vol. XIX, n° 4, p. 323-350. | Zbl | MR | Numdam

[7] Neveu (J.), Arbres et processus de Galton-Watson (à paraître). | Zbl | MR | Numdam

[8] Rouault (A.), Comportement asymptotique d'un processus de branchement spatial en zone sous-critique, Comptes-Rendus de l'Ac. d. Sc. 1984, n° 299, série I, p. 887-890. | Zbl

[9] Rouault (A.), Probabilités de présence dans un processus de branchement spatial markovien (soumis aux C.R.A.S.). | Zbl

[10] Rouault (A.), Espérances et majorations pour un processus de branchement spatial markovien (soumis aux Ann. IHP), voir Chap. G. | MR | Zbl | Numdam

[11] Ruget (G.), Large deviations and more or less rare events in population dynamics. Colloque Luminy. Lecture Notes in Biom. n° 49 (1981), p. 388-400. | Zbl

[12] Ventsel (A.D.), Rough limit theorems on large deviations for Markov stochastic processes. Theor. of Prob. and its Appl. 1976, t. 21, n° 2, p. 227-242 et t. 21 n° 3, p. 499-512. | Zbl | DOI

[13] Azencott (R.), Cours de l'Ecole d'Eté de Saint-Flour, Lecture Notes in Math. n° 774 (1978).

[14] Ekeland (I.), Temam (R.), Convex analysis and variationnal problems North-Holland, Amsterdam, 1976. | Zbl

[15] Matthes (K.), Kerstan (J.), Mecke (J.), Infinitely divisible point processes, Wiley, Chichester, 1978. | Zbl

[1] Azencott (R.) - Ruget (G.), Mélanges d'équations différentielles et grands écarts à la loi des grands nombres. Zeits. für Wahr., 1977, t. 38, p. 1-54. | Zbl | DOI

[2] Biggins (J.D.), Chernoff's theorem in the branching random walk. Journ. of Appl. Prob. 1977, t. 14, p. 630-636. | Zbl | DOI

[3] Clarke (F.H.), Generalized gradients and applications. Trans. of the Amer. Math. Soc., 1975, t. 205, p. 247-262. | Zbl | DOI

[4] Clarke (F.H.), The Euler-Lagrange differential inclusion. Journ. of Diff. Eq., 1975, t. 19, p. 80-90. | Zbl | DOI

[5] Neveu (J.), Arbres et processus de Galton-Watson (à paraître). | Zbl | Numdam

[6] Rouault (A.), Probabilités de présence dans un processus de branchement spatial markovien (soumis aux Ann. IHP), voir Chap. F. | Zbl

[7] Ruget (G.), Large deviations and more or less rare events in population dynamics. Colloque Luminy. Lect. Notes in Biom. n° 49, 1981, p. 388-400. | Zbl

[8] Ventsel (A.D.), Rough limit theorems on large deviations for Markov stochastic processes. Theor. of Prob. and its Appl. 1976, t.21, n° 2, p. 227-242 et t. 21 n° 3, p. 499-512. | Zbl | DOI

[1] Asmussen (S.), Some martingale methods in the limit theory of supercritical branching processes. Adv. in Prob. and Rel. Topics, 1978, vol. 5, p. 1-26. | Zbl

[2] Biggins (J.D.), Martingale convergence in the branching random walk. Journ. of Appl. Prob., 1977, vol. 14, p. 25-37. | Zbl | DOI

[3] Biggins (J.D.), Growth rates in the branching random walk, Zeits. für Wahr., 1979, t. 48, p. 17-34. | Zbl | DOI

[4] Freidlin (M.I.), Ventsel (A.D.), Random Perturbations of Dynamical Systems, Springer, Berlin, 1984. | Zbl | DOI

[5] Neymann (J.), Scott (E.L.), Processes of Clustering and Applications, in Stochastic Point Processes, edit. P.A.W. Lewis, Wiley, New York, 1972. | Zbl

[6] Rouault (A.), Probabilités de présence dans un processus de branchement spatial markovien (soumis aux Ann. IHP) - Voir Chap. F | Zbl

[7] Rouault (A.), Espérances et majorations pour un processus de branchement spatial markovien (soumis aux Ann. IHP) - Voir Chap. G. | MR | Zbl | Numdam

[8] Ruget (G.), Large deviations and more or less rare events in population dynamics. Colloque Luminy. Lect. Notes in Biomat. n° 49 (1981), p. 388-400. | Zbl