Central limit theorem for linear groups, Ann. Probab, vol.44, issue.2, pp.1308-1340, 2016. ,
On a functional central limit theorem for random walks conditioned to stay positive, Ann. Probability, vol.4, issue.3, pp.480-485, 1976. ,
, Products of random matrices with applications to Schrödinger operators, Progress in Probability and Statistics, vol.8, 1985.
Random walks in cones, Ann. Probab, vol.43, issue.3, pp.992-1044, 2015. ,
, , 1958.
Products of random matrices, Ann. Math. Statist, vol.31, pp.457-469, 1960. ,
On the rate of convergence in the weak invariance principle for dependent random variables with applications to Markov chains, Colloq. Math, vol.134, issue.1, pp.1-55, 2014. ,
Frontì ere de Furstenberg, propriétés de contraction et théorèmes de convergence, Z. Wahrsch. Verw. Gebiete, vol.69, issue.2, pp.187-242, 1985. ,
Loi des grands nombres et perturbations pour des produits réductibles de matrices aléatoires indépendantes, Z. Wahrsch. Verw. Gebiete, vol.67, issue.3, pp.265-278, 1984. ,
Limit theorems for products of positive random matrices, Ann. Probab, vol.25, issue.4, pp.1545-1587, 1997. ,
Stable laws and products of positive random matrices, J. Theoret. Probab, vol.21, issue.4, pp.966-981, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00360677
Functional central limit theorems for random walks conditioned to stay positive, Ann. Probab, vol.2, pp.608-619, 1974. ,
Random walks with negative drift conditioned to stay positive, J. Appl. Probability, vol.11, pp.742-751, 1974. ,
Conditioned limit theorems for random walks, 1975. ,
An invariance principle for random walk conditioned by a late return to zero, Ann. Probability, vol.4, issue.1, pp.115-121, 1976. ,
Théorèmes limites pour les produits de matrices aléatoires, Probability measures on groups, vol.928, pp.258-303, 1981. ,
The survival probability of a critical multi-type branching process in i.i.d. random environment, Ann. Probab ,
URL : https://hal.archives-ouvertes.fr/hal-01705787
Théorie de l'addition des variables aléatoires, 1937. ,
A class of conditional limit theorems related to ruin problem, Ann. Probab, vol.11, issue.1, pp.40-45, 1983. ,
Limit theorem for the critical branching process in random environment, Discrete Math. Appl, vol.5, issue.1, p.1221669, 1993. ,
On branching process with random environment, I: extinction probabilities, Ann. Math. Statist, vol.42, issue.5, 1971. ,
On branching process with random environment, II: Limit theorem, Ann. Math. Statist, vol.42, issue.6, p.298781, 1971. ,
Large deviations for Branching Processes in Random Environment, Markov Process. Related Fields, vol.15, pp.493-524, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00453402
Products of Random Matrices with Applications to Schrödinger Operators, Birkhäuser, p.886674, 1985. ,
Asymptotics behaviour of the probability of non-extinction for a multi-type branching process in a random environment, Discrete Math. Appl, vol.9, issue.2, pp.119-136, 1999. ,
On the survival probability and a functional limit theorem for branching processes in random environment, Markov Process. related Fields, vol.10, p.2082575, 2004. ,
Multitype branching processes in random environment: survival probability for the critical case, Theory Probab. Appl, vol.62, issue.4, pp.506-521, 2018. ,
Products of random matrices, Ann. Math. Statist, vol.31, pp.457-469, 1960. ,
The survival probability of a critical branching process in random environment, Theory. Probab. Appl, vol.45, issue.3, pp.518-526, 2002. ,
Limit theorems for subcritical branching processes in random environment, Ann. de l'I.H.P. Probab. et Statist, vol.39, issue.4, 2003. ,
On the rate of convergence in the weak invariance principle for dependent random variables with applications to Markov chains, Colloquium Mathematicum, vol.134, pp.1-55, 2014. ,
Conditional limit theorems for products of random matrices, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01270418
Théorèmes limites pour une classe de cha??nescha??nes de Markov et applications aux difféomorphismes d, Anosov. Ann. Inst. H. Poincaré Probab. Statist, vol.24, issue.1, pp.73-98, 1988. ,
Normalisation d'un processus de branchement critique dans un environnement aléatoire, C. R. Acad. Sci. Paris Sér. I Math, vol.337, pp.603-608, 2003. ,
Asymptotic properties of branching processes in a random environment, C. R. Acad. Sci. Paris Sér. I Math, vol.332, p.1821473, 2001. ,
Limit theorems for products of positive random matrices, Ann. Probab, vol.25, issue.4, pp.1545-1587, 1997. ,
Some results about multidimensional branching processes with random environments, Ann. Probab, vol.0378127, issue.2, pp.441-455, 1974. ,
On the asymptotic bahaviour of the probability of non-extinction for critical branching processes in a random environment, Theor. of. Probab. and its Appl, vol.XXI, issue.4, p.428492, 1976. ,
Théorèmes limites pour les produits de matrices aléatoires, Lecture Notes, vol.928, p.669072, 1982. ,
Conditioned limit theorems for products of positive random matrices, ALEA, Lat. Am. J. Probab. Math. Stat, vol.15, pp.67-100, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01959053
On branching processes in random environment, Adv. Math. Statist, vol.40, issue.3, p.246380, 1969. ,
Inequalities for the distribution of the numbers of simultaneous events, Survey of Appl. and Industry math. Ser. Probab. and Stat, vol.1, pp.638-666, 1994. ,
,
,
E-mail: Marc.Peigne@lmpt.univ-tours.fr E-mail: Da-Cam ,
An introduction on galton-watson trees and their local limits, ESAIM : Proceedings and Surveys, 7. ESAIM : Proceedings and Surveys, 2016. ,
A limit theorem for a critical branching process in a random environment, Diskret. Mat, vol.5, issue.1, pp.45-58, 1993. ,
Criticality for branching processes in random environment, Ann. Probab, vol.33, issue.2, pp.645-673, 2005. ,
Branching processes with random environments. II. Limit theorems, Ann. Math. Statist, vol.42, pp.1843-1858, 1971. ,
On branching processes with random environments. I. Extinction probabilities, Ann. Math. Statist, vol.42, pp.1499-1520, 1971. ,
Branching processes, Die Grundlehren der mathematischen Wissenschaften, 0196. ,
The random difference equation X n = A n X n?1 + B n in the critical case, Ann. Probab, vol.25, issue.1, pp.478-493, 1997. ,
Large deviations for branching processes in random environment, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00453402
Central limit theorem for linear groups, Ann. Probab, vol.44, issue.2, pp.1308-1340, 2016. ,
Convergence of probability measures, 1968. ,
On a functional central limit theorem for random walks conditioned to stay positive, Ann. Probability, vol.4, issue.3, pp.480-485, 1976. ,
Products of random matrices with applications to Schrödinger operators, Ann. Inst. H. Poincaré Probab. Statist, vol.8, issue.3, pp.371-384, 1985. ,
Probability theory : independence, interchangeability, martingales, 2012. ,
On infinite composition products of probability generating functions, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, vol.19, pp.243-256, 1971. ,
On the growth of the multitype supercritical branching process in a random environment, Ann. Probab, vol.17, issue.3, pp.1118-1123, 1989. ,
The asymptotics of the probability of nonextinction of a multidimensional branching process in a random environment, Diskret. Mat, vol.11, issue.1, pp.113-128, 1999. ,
Random walks in cones, Ann. Probab, vol.43, issue.3, pp.992-1044, 2015. ,
, , 2017.
, Multi-type branching processes with time-dependent branching rates
On the survival probability and a functional limit theorem for branching processes in random environment, Markov Process. Related Fields, vol.10, issue.2, pp.289-306, 2004. ,
An introduction to probability theory and its applications, 1968. ,
Products of random matrices, Ann. Math. Statist, vol.31, pp.457-469, 1960. ,
The survival probability of a critical branching process in random environment, Teor. Veroyatnost. i Primenen, vol.45, issue.3, pp.607-615, 2000. ,
Limit theorems for subcritical branching processes in random environment, Ann. Inst. H. Poincaré Probab. Statist, vol.39, issue.4, pp.593-620, 2003. ,
On the rate of convergence in the weak invariance principle for dependent random variables with applications to Markov chains, Colloq. Math, vol.134, issue.1, pp.1-55, 2014. ,
Conditioned limit theorems for products of random matrices, Probab. Theory Related Fields, vol.168, issue.3-4, pp.601-639, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01449023
A central limit theorem for the group of linear transformations of the line, Dokl. Akad. Nauk SSSR, vol.219, pp.23-26, 1974. ,
Frontière de Furstenberg, propriétés de contraction et théorèmes de convergence, Z. Wahrsch. Verw. Gebiete, vol.69, issue.2, pp.187-242, 1985. ,
Loi des grands nombres et perturbations pour des produits réductibles de matrices aléatoires indépendantes, Z. Wahrsch. Verw. Gebiete, vol.67, issue.3, pp.265-278, 1963. ,
Limit theorems for products of positive random matrices, Ann. Probab, vol.25, issue.4, pp.1545-1587, 1997. ,
Stable laws and products of positive random matrices, J. Theoret. Probab, vol.21, issue.4, pp.966-981, 2008. ,
Functional central limit theorems for random walks conditioned to stay positive, Ann. Probability, vol.2, pp.608-619, 1974. ,
Random walks with negative drift conditioned to stay positive, J. Appl. Probability, vol.11, pp.742-751, 1974. ,
Conditioned limit theorems for random walks, pp.167-194, 1975. ,
An invariance principle for random walk conditioned by a late return to zero, Ann. Probability, vol.1, issue.1, pp.115-121, 1976. ,
Some results about multidimensional branching processes with random environments, Ann. Probability, vol.2, pp.441-455, 1974. ,
A unifying approach to branching processes in varying environments, 2017. ,
A limit theorem for multidimensional Galton-Watson processes, Ann. Math. Statist, vol.37, pp.1211-1223, 1966. ,
Zur lösung einer biologishen aufgabe, Iz. NII. Mathem. Mekh. Tomskogo Univ, vol.2, pp.1-6, 1938. ,
On the asymptotic behavior of the probability of non-extinction for critical branching processes in a random environment, Theory of Probability & Its Applications, vol.21, pp.791-804, 1977. ,
Théorèmes limites pour des marches aléatoires markoviennes conditionnées à rester positives, 2017. ,
Théorèmes limites pour les produits de matrices aléatoires, Probability measures on groups, vol.928, pp.258-303, 1981. ,
A local limit theorem on the semi-direct product of R * + and R d, Ann. Inst. H. Poincaré Probab. Statist, vol.33, issue.2, pp.223-252, 1997. ,
The survival probability of a critical multi-type branching process in i.i.d. random environment, Ann. Probab, vol.46, issue.5, pp.2946-2972, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01705787
Lectures on the coupling method, Wiley Series in Probability and Mathematical Statistics : Probability and Mathematical Statistics, 1992. ,
Multitype branching processes, Theory and applications. Modern Analytic and Computational Methods in Science and Mathematics, issue.34, 1971. ,
Fourier transforms in the complex domain, vol.19, 1987. ,
Conditioned limit theorems for products of positive random matrices, ALEA Lat. Am. J. Probab. Math. Stat, vol.15, issue.1, pp.67-100, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01959053
On branching processes in random environments, Ann. Math. Statist, vol.40, pp.814-827, 1969. ,
Principles of random walk, Graduate Texts in Mathematics, vol.34, 1976. ,
Multitype branching processes in a random environment : nonextinction probability in the critical case, Teor. Veroyatn. Primen, vol.62, issue.4, pp.634-653, 2017. ,