Théorèmes limites pour les produits de matrices aléatoires

Emile Le page

Publications mathématiques et informatique de Rennes (1980)

  • Issue: 1, page 1-49

How to cite

top

Le page, Emile. "Théorèmes limites pour les produits de matrices aléatoires." Publications mathématiques et informatique de Rennes (1980): 1-49. <http://eudml.org/doc/274707>.

@article{Lepage1980,
author = {Le page, Emile},
journal = {Publications mathématiques et informatique de Rennes},
language = {fre},
number = {1},
pages = {1-49},
publisher = {Département de Mathématiques et Informatique, Université de Rennes},
title = {Théorèmes limites pour les produits de matrices aléatoires},
url = {http://eudml.org/doc/274707},
year = {1980},
}

TY - JOUR
AU - Le page, Emile
TI - Théorèmes limites pour les produits de matrices aléatoires
JO - Publications mathématiques et informatique de Rennes
PY - 1980
PB - Département de Mathématiques et Informatique, Université de Rennes
IS - 1
SP - 1
EP - 49
LA - fre
UR - http://eudml.org/doc/274707
ER -

References

top
  1. [1] Billingsley : Convergence of Probability measures - John Wiley and SonsNew York (1968). Zbl0944.60003MR233396
  2. [2] Breiman : Probability - Addison Wesley (1968). Zbl0174.48801
  3. [3] Crepel : Loi des grands écarts pour les marches aléatoires sur . Séminaire de probabilités de Rennes (1978). 
  4. [4] Dunford et Schwartz : Linear operatorspart I - Interscience, New York (1953). Zbl0084.10402
  5. [5] Esseen : Fourier analysis of distribution functions ; a mathematical study of the Laplace Gaussian. Law. Acta Math.77, p.1-25. Zbl0060.28705MR14626
  6. [6] Furstenberg : Non commuting random products - TAMS vol. 108 (1963), p.377-428. Zbl0203.19102MR163345
  7. [7] Furstenberg et Kesten : Products of random matrices - Ann. Math. Stat. vol. 31 (1960), p.457-469. Zbl0137.35501MR121828
  8. [8] Greenberg : Discrete groups with dense orbits - Flows on Komogeneous spaces - Annals of mathematics studies, number 53 ; Princeton univ. press (1963) 
  9. [9] Guivarc'h : Etude des produits de matrices aléatoires - Lecture Notes in math.774 (1980) p.176-250. Zbl0433.60007
  10. [10] Guivarc'h : Sur les exposants de Lyapounoff des marches aléatoires à pas markovien - (à paraître). Zbl0482.60020
  11. [11] Iosifescu et Theodorescu : Random processes and Learning - Springer Verlag Band 150, Berlin (1969). Zbl0194.51101
  12. [12] Kaijser : Some limit theorems for Markov chains with applications to learning models and products of random matrices - Report Institut Mittag Leffler (1972). 
  13. [13] Kesten : Random difference equations and renewal theory for products of random matrices - Acta Math131, 207-248. Zbl0291.60029MR440724
  14. [14] Nagaev : Some limit theorems for stationary Markov chains - Theory of Proba and its applications2 (1957), p.378-406. Zbl0078.31804MR94846
  15. [15] Neveu : Bases mathématiques du calcul des probabilités - Masson et Cie (1964). Zbl0203.49901
  16. [16] Norman : Markov process and learning models - Academic Press vol. 84 (1972). Zbl0262.92003MR423546
  17. [17] O'connor : A central limit theorem for the disordered harmonic chain Communications - Math Physics45 (1975), p.63-77. Zbl0394.60027MR432133
  18. [18] Raugi : Fonctions harmoniques et théorèmes limites pour les marches aléatoires sur les groupes - Bulletin SMF mémoire54 (1977). 
  19. [19] Tutubalin : On limit theorems for the products of random matrices - Theory of Proba and its applications, vol. 10 number 1 (1965) p.15-27. Zbl0147.17105
  20. [20] Tutubalin : A variant of the local limit theorem for products of random matrices - Theory of Proba and its applications, vol. XXII (1977), number 2, P.203-214. Zbl0382.60019
  21. [21] Verheggen : Transmission coefficient and heat conduction of a harmonic chain with random masses ; a symptotic estimates on products of random matrices - Communications in Math Physics68 (1979), p.69-82. Zbl0446.60056MR539737

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.