Théorie spectrale d'un opérateur de transition sur un espace métrique compact

Albert Raugi

Annales de l'I.H.P. Probabilités et statistiques (1992)

  • Volume: 28, Issue: 2, page 281-309
  • ISSN: 0246-0203

How to cite

top

Raugi, Albert. "Théorie spectrale d'un opérateur de transition sur un espace métrique compact." Annales de l'I.H.P. Probabilités et statistiques 28.2 (1992): 281-309. <http://eudml.org/doc/77433>.

@article{Raugi1992,
author = {Raugi, Albert},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {martingale theory; ergodic theory; spectral properties of a Markov operator; Hausdorff metric; shift-invariant mapping; Cesaro limit},
language = {fre},
number = {2},
pages = {281-309},
publisher = {Gauthier-Villars},
title = {Théorie spectrale d'un opérateur de transition sur un espace métrique compact},
url = {http://eudml.org/doc/77433},
volume = {28},
year = {1992},
}

TY - JOUR
AU - Raugi, Albert
TI - Théorie spectrale d'un opérateur de transition sur un espace métrique compact
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1992
PB - Gauthier-Villars
VL - 28
IS - 2
SP - 281
EP - 309
LA - fre
KW - martingale theory; ergodic theory; spectral properties of a Markov operator; Hausdorff metric; shift-invariant mapping; Cesaro limit
UR - http://eudml.org/doc/77433
ER -

References

top
  1. [1] J.-P. Conze et A. Raugi, Fonctions harmoniques pour un opérateur de transition et applications, Bull. Soc. math. France., vol. 118, 1990, p. 273-310. Zbl0725.60026MR1078079
  2. [2] K. De Leeuw et I. Glicksberg, Applications of almost periodic compactifications, Acta Math., vol. 105, 1961, p. 63-67. Zbl0104.05501MR131784
  3. [3] J.L. Doob, Stochastic processes, John Wiley, New York, 1953. Zbl0053.26802MR58896
  4. [4] B. Jamison, Asymptotic behavior of successive iterates of continuous functions under a Markov operator, J. Math. Anal. Appl., vol. 9, 1964, p. 203-214. Zbl0133.10701MR169040
  5. [5] B. Jamison, Ergodic Decompositions Induced by Certain Markov Operators, Trans. Amer. Math. Soc., vol. 117, 1965, p. 451-468. Zbl0143.19803MR207041
  6. [6] B. Jamison, Irreducible Markov operators on C(S), ..., 1970, p. 366-370. Zbl0195.41402MR250046
  7. [7] B. Jamison et R. Sine, Irreducible Almost Periodic Markov Operators, J. Math. Mech., vol. 18, n° 11, 1969, p. 1043-1057. Zbl0266.60056MR242257
  8. [8] J. Neveu, Bases Mathématiques du calcul des probabilités, Masson, 1964. Zbl0137.11203MR198504
  9. [9] F. Norman, Markov Processes and Learning Models, New York, Academic Press, vol. 84, 1972. Zbl0262.92003MR423546
  10. [10] D. Revuz, Markov chains, North Holland Pub. Comp., 1975. Zbl0332.60045MR415773
  11. [11] M. Rosenblatt, Equicontinuous Markov Operators, Teor. Verojatnost. i Primenen, vol. 9, 1964, p. 205-222. Zbl0133.40101MR171318
  12. [12] W. Rudin, Fourier Analysis on Groups, Interscience publishers, John Wiley and sons, New York-London, 1967. Zbl0107.09603MR1038803

Citations in EuDML Documents

top
  1. Albert Raugi, Théorie spectrale d'un opérateur de transition sur un espace métrique compact
  2. Abdelaziz Kondah, Véronique Maume, Bernard Schmitt, Vitesse de convergence vers l'état d'équilibre pour des dynamiques markoviennes non höldériennes
  3. Jean-Pierre Conze, Albert Raugi, Convergence des potentiels pour un opérateur de transfert, applications aux systèmes dynamiques et aux chaînes de Markov
  4. Jean-Pierre Conze, Albert Raugi, Convergence of iterates of a transfer operator, application to dynamical systems and to Markov chains
  5. Loïc Hervé, Étude d'opérateurs quasi-compacts positifs. Applications aux opérateurs de transfert
  6. Jean-Pierre Conze, Albert Raugi, Convergence of iterates of a transfer operator, application to dynamical systems and to Markov chains
  7. Yves Guivarc'h, Albert Raugi, Actions of large semigroups and random walks on isometric extensions of boundaries
  8. Marc Peigné, Iterated Function Systems and Spectral Decomposition of the Associated Markov Operator

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.