Geodesic
Coefficients of ergodicity generated by non-symmetrical vector norms
Czechoslovak Mathematical Journal, Tome 40 (1990) no. 2, pp. 284-294
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

DOI : 10.21136/CMJ.1990.102380
Classification : 15A18, 15A51, 60J10 
@article{10_21136_CMJ_1990_102380,
     author = {Le\v{s}anovsk\'y, Anton{\'\i}n},
     title = {Coefficients of ergodicity generated by non-symmetrical vector norms},
     journal = {Czechoslovak Mathematical Journal},
     pages = {284--294},
     year = {1990},
     volume = {40},
     number = {2},
     doi = {10.21136/CMJ.1990.102380},
     mrnumber = {1046294},
     zbl = {0719.60067},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1990.102380/}
}
TY  - JOUR
AU  - Lešanovský, Antonín
TI  - Coefficients of ergodicity generated by non-symmetrical vector norms
JO  - Czechoslovak Mathematical Journal
PY  - 1990
SP  - 284
EP  - 294
VL  - 40
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1990.102380/
DO  - 10.21136/CMJ.1990.102380
LA  - en
ID  - 10_21136_CMJ_1990_102380
ER  - 
%0 Journal Article
%A Lešanovský, Antonín
%T Coefficients of ergodicity generated by non-symmetrical vector norms
%J Czechoslovak Mathematical Journal
%D 1990
%P 284-294
%V 40
%N 2
%U http://geodesic.mathdoc.fr/articles/10.21136/CMJ.1990.102380/
%R 10.21136/CMJ.1990.102380
%G en
%F 10_21136_CMJ_1990_102380
Lešanovský, Antonín. Coefficients of ergodicity generated by non-symmetrical vector norms. Czechoslovak Mathematical Journal, Tome 40 (1990) no. 2, pp. 284-294. doi: 10.21136/CMJ.1990.102380

[1] F. L. Bauer E. Deutsch J. Stoer: Abschätzungen für die Eigenwerte positiver linearen Operatoren. Linear Algebra and Applicns. 2 (1969), 275-301. | MR

[2] G. Birkhoff: Lattice Theory. Amer. Math. Soc. Colloq. Publicns., vol. XXV, Providence, R. I.-3rd edition (1967). | MR | Zbl

[3] R. L. Dobrushin: Central limit theorem for non-stationary Markov chains I, II. Theory Prob. Appl. 1 (1956), 63-80, 329-383 (English translation). | MR | Zbl

[4] J. Hajnal: Weak ergodicity in non-homogeneous Markov chains. Proc. Camb. Phil. Soc. 54(1958),233-246. | MR | Zbl

[5] R. A. Hom, Ch. A. Johnson: Matrix Analysis. Cambridge University Press, Cambridge, London, New York, New Rochelle, Melbourne and Sydney (1985). | MR

[6] S. Karlin: A First Course in Stochastic Processes. Academic Press, New York and London (1968). | MR | Zbl

[7] D. G. Kendall: Geometric ergodicity and the theory of queues. In: Matehmatical Methods in the Social Sciences, K. J. Arrow, S. Karlin, P. Suppes (eds.), Stanford, California (1960). | MR

[8] P. Kratochvíl A. Lešanovský: A contractive property in finite state Markov chains. Czechoslovak Math. J. 35 (110) (1985), 491-509. | MR

[9] A. Paz: Introduction to Probabilistic Automata. Academic Press, New York (1971). | MR | Zbl

[10] A. Rhodius: The maximal value for coefficients of ergodicity. Stochastic Processes Appl. 29 (1988), 141- 143. | DOI | MR | Zbl

[11] U. G. Rothblum, C. P. Tan: Upper bounds on the maximum modulus of subdominant eingenvalues of nonnegative matrices. Linear Algebra Appl. 66 (1985), 45-86. | DOI | MR

[12] Т. А. Сарымсаков: Основы теории процессов Маркова. Государственное издательство технико-теоретической литературы, Москва (1954). | Zbl

[13] Т. А. Сарымсаков: К теории нзоднородных цепей Маркова. Докл. АН УзССР 8 (1956), 3-7. | Zbl

[14] E. Seneta: On the historical development of the theory of finite inhomogeneous Markov chains. Proc. Camb. Phil. Soc. 74 (1973), 507-513. | DOI | MR | Zbl

[15] E. Seneta: Coefficients of ergodicity: structure and applications. Adv. Appl. Prob. 11 (1979), 576-590. | DOI | MR | Zbl

[16] E. Seneta: Non-negative Matrices and Markov Chains. Springer-Verlag, New York, Heidelberg and Berlin (1981). | MR | Zbl

[17] C. P. Tan: A functional form for a particular coefficient of ergodicity. J. Appl. Prob. 19 (1982), 858-863. | DOI | MR | Zbl

[18] C. P. Tan: Coefficients of ergodicity with respect to vector norms. J. Appl. Prob. 20 (1983), 277-287. | DOI | MR | Zbl

[19] D. Vere-Jones: Geometric ergodicity in denumerable Markov chains. Quart. J. Math. Oxford (2) 13 (1962), 7-28. | DOI | MR | Zbl

Cité par Sources :