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Volumn 25, Issue 4, 1997, Pages 1545-1587

Limit theorems for products of positive random matrices

Author keywords

Limit theorems; Mixing; Positive random matrices

Indexed keywords


EID: 0031321960     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1023481103     Document Type: Article
Times cited : (114)

References (31)
  • 1
    • 0001123993 scopus 로고
    • Evolutionary formalism for products of positive random matrices
    • ARNOLD, L., DEMETRIUS, L. and GUNDLACH, V. M. (1994). Evolutionary formalism for products of positive random matrices. Ann. Appl. Probab. 4 859-901.
    • (1994) Ann. Appl. Probab. , vol.4 , pp. 859-901
    • Arnold, L.1    Demetrius, L.2    Gundlach, V.M.3
  • 2
    • 0040542231 scopus 로고
    • Tightness of products of random matrices and stability of linear stochastic systems
    • BOUGEROL, P. (1987). Tightness of products of random matrices and stability of linear stochastic systems. Ann. Probab. 15 40-74.
    • (1987) Ann. Probab. , vol.15 , pp. 40-74
    • Bougerol, P.1
  • 4
    • 0015744267 scopus 로고
    • Hubert's metric and positive contraction mappings in a Banach space
    • BUSHELL, P. J. (1973). Hubert's metric and positive contraction mappings in a Banach space. Arch. Rational Mech. Anal. 52 330-338.
    • (1973) Arch. Rational Mech. Anal. , vol.52 , pp. 330-338
    • Bushell, P.J.1
  • 5
    • 34250184915 scopus 로고
    • Products of random matrices and related topics in mathematics and science - A bibliography
    • COHEN, J. (1986). Products of random matrices and related topics in mathematics and science - a bibliography. Contemp. Math. 50 337-358.
    • (1986) Contemp. Math. , vol.50 , pp. 337-358
    • Cohen, J.1
  • 6
    • 0040542199 scopus 로고
    • Weak ergodicity and products of random matrices
    • COHN, H., NERMAN, O. and PELIGRAD, M. (1993). Weak ergodicity and products of random matrices. J. Theoret. Probab. 6 389-405.
    • (1993) J. Theoret. Probab. , vol.6 , pp. 389-405
    • Cohn, H.1    Nerman, O.2    Peligrad, M.3
  • 8
    • 0003155075 scopus 로고
    • Mixing: Properties and examples
    • Springer, New York
    • DOUKHAN, P. (1994). Mixing: Properties and Examples. Lecture Notes in Statist. 85. Springer, New York.
    • (1994) Lecture Notes in Statist. , vol.85
    • Doukhan, P.1
  • 9
    • 0005386802 scopus 로고
    • Remarks on the CLT for weakly dependent random variables
    • Springer, New York
    • DÜRR, D. and GOLDSTEIN, S. (1984). Remarks on the CLT for weakly dependent random variables. Lecture Notes in Math. 1158. Springer, New York.
    • (1984) Lecture Notes in Math , vol.1158
    • Dürr, D.1    Goldstein, S.2
  • 11
    • 0038771676 scopus 로고
    • On moment conditions for sums of independent variables and martingale differences
    • ESSEEN, C. G. and JANSON, S. (1985). On moment conditions for sums of independent variables and martingale differences. Stochastic Process. Appl. 19 173-182.
    • (1985) Stochastic Process. Appl. , vol.19 , pp. 173-182
    • Esseen, C.G.1    Janson, S.2
  • 12
    • 0039949355 scopus 로고
    • Positive matrix-valued cocycles over dynamical systems
    • EVSTIGNEEV, C. G. I.V. (1974). Positive matrix-valued cocycles over dynamical systems. Uspehi Mat. Nauk 29 219-226.
    • (1974) Uspehi Mat. Nauk , vol.29 , pp. 219-226
    • Evstigneev, C.G.I.V.1
  • 13
    • 0000247875 scopus 로고
    • Produits aléatoires d'opérateurs matrices de transfert
    • FERRERO, P. and SCHMITT, B. (1988). Produits aléatoires d'opérateurs matrices de transfert. Probab. Theory Related Fields 79 227-248.
    • (1988) Probab. Theory Related Fields , vol.79 , pp. 227-248
    • Ferrero, P.1    Schmitt, B.2
  • 14
    • 84968508586 scopus 로고
    • Non-commuting random products
    • FURSTENBERG, H. (1963). Non-commuting random products. Trans. Amer. Math. Soc. 108 377-428.
    • (1963) Trans. Amer. Math. Soc. , vol.108 , pp. 377-428
    • Furstenberg, H.1
  • 16
    • 0000282259 scopus 로고
    • The central limit theorem for stationary processes
    • GORDIN, M. I. (1969). The central limit theorem for stationary processes. Soviet Math. Dokl 10 1174-1176.
    • (1969) Soviet Math. Dokl , vol.10 , pp. 1174-1176
    • Gordin, M.I.1
  • 17
    • 0039671974 scopus 로고
    • Products of random matrices: Convergence theorems
    • GUIVARC'H, Y. and RAUGI, A. (1986). Products of random matrices: convergence theorems. Contemp. Math. 50 31-54.
    • (1986) Contemp. Math. , vol.50 , pp. 31-54
    • Guivarc'h, Y.1    Raugi, A.2
  • 19
    • 0039356980 scopus 로고
    • Dérivabilité du plus grand exposant caractéristique des produits de matrices aléatoires indépendantes à coefficients positifs
    • HENNION, H. (1991). Dérivabilité du plus grand exposant caractéristique des produits de matrices aléatoires indépendantes à coefficients positifs. Ann. Inst. H. Poincaré Probab. Statist. 27 27-59.
    • (1991) Ann. Inst. H. Poincaré Probab. Statist. , vol.27 , pp. 27-59
    • Hennion, H.1
  • 20
    • 0038569353 scopus 로고
    • Convergence in distribution of products of random matrices
    • RESTEN, H. and SPITZER, F. (1984). Convergence in distribution of products of random matrices. Z. Wahrsch. Verw. Gebiete 67 363-386.
    • (1984) Z. Wahrsch. Verw. Gebiete , vol.67 , pp. 363-386
    • Resten, H.1    Spitzer, F.2
  • 21
    • 0001159401 scopus 로고
    • Subadditive ergodic theory
    • KINGMAN, J. F. C. (1973). Subadditive ergodic theory. Ann. Probab. 1 883-899.
    • (1973) Ann. Probab. , vol.1 , pp. 883-899
    • Kingman, J.F.C.1
  • 24
    • 0007315328 scopus 로고
    • Théorèmes limites pour les produits de matrices aléatoires
    • Springer, Berlin
    • LE PAGE, E. (1982). Théorèmes limites pour les produits de matrices aléatoires. Probability Measures on Groups. Lecture Notes in Math. 928 258-303. Springer, Berlin.
    • (1982) Probability Measures on Groups. Lecture Notes in Math. , vol.928 , pp. 258-303
    • Le Page, E.1
  • 26
    • 84967800059 scopus 로고
    • Convergence in distribution of products of random matrices: A semigroup approach
    • MUKHERJEA, A. (1987). Convergence in distribution of products of random matrices: a semigroup approach. Trans. Amer. Math. Soc. 303 395-411.
    • (1987) Trans. Amer. Math. Soc. , vol.303 , pp. 395-411
    • Mukherjea, A.1
  • 27
    • 85033119248 scopus 로고
    • Graphes et algorithme de calcul de probabilités stationnaires d'un processus markovien discret
    • PELLAUMAIL, J. (1990). Graphes et algorithme de calcul de probabilités stationnaires d'un processus markovien discret. Ann. Inst. H. Poincaré Probab. Statist. 26 121-143.
    • (1990) Ann. Inst. H. Poincaré Probab. Statist. , vol.26 , pp. 121-143
    • Pellaumail, J.1
  • 28
    • 0000746095 scopus 로고
    • Domain of analytic continuation for the top Lyapunov exponent
    • PERES, Y. (1992). Domain of analytic continuation for the top Lyapunov exponent. Ann. Inst. H. Poincaré Probab. Statist. 28 131-148.
    • (1992) Ann. Inst. H. Poincaré Probab. Statist. , vol.28 , pp. 131-148
    • Peres, Y.1
  • 29
    • 0040542195 scopus 로고
    • Une démonstration du théorème de Choquet-Deny par les martingales
    • RAUGI, A. (1983). Une démonstration du théorème de Choquet-Deny par les martingales. Ann. Inst. H. Poincaré Statist. Probab. 19 101-109.
    • (1983) Ann. Inst. H. Poincaré Statist. Probab. , vol.19 , pp. 101-109
    • Raugi, A.1
  • 31
    • 0001795008 scopus 로고
    • Approximating martingales and the central limit theorem for strictly stationary processes
    • VOLNY, D. (1993). Approximating martingales and the central limit theorem for strictly stationary processes. Stochastic Process. Appl. 44 41-74.
    • (1993) Stochastic Process. Appl. , vol.44 , pp. 41-74
    • Volny, D.1


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