| Title:
|
Coefficients of ergodicity generated by non-symmetrical vector norms (English) |
| Author:
|
Lešanovský, Antonín |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
40 |
| Issue:
|
2 |
| Year:
|
1990 |
| Pages:
|
284-294 |
| . |
| Category:
|
math |
| . |
| MSC:
|
15A18 |
| MSC:
|
15A51 |
| MSC:
|
60J10 |
| idZBL:
|
Zbl 0719.60067 |
| idMR:
|
MR1046294 |
| DOI:
|
10.21136/CMJ.1990.102380 |
| . |
| Date available:
|
2008-06-09T15:32:50Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102380 |
| . |
| Reference:
|
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| Reference:
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[2] G. Birkhoff: Lattice Theory.Amer. Math. Soc. Colloq. Publicns., vol. XXV, Providence, R. I.-3rd edition (1967). Zbl 0153.02501, MR 0227053 |
| Reference:
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[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). Zbl 0093.15001, MR 0086436 |
| Reference:
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[4] J. Hajnal: Weak ergodicity in non-homogeneous Markov chains.Proc. Camb. Phil. Soc. 54(1958),233-246. Zbl 0082.34501, MR 0096306 |
| Reference:
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| Reference:
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| Reference:
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| Reference:
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[8] P. Kratochvíl A. Lešanovský: A contractive property in finite state Markov chains.Czechoslovak Math. J. 35 (110) (1985), 491-509. MR 0803042 |
| Reference:
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[9] A. Paz: Introduction to Probabilistic Automata.Academic Press, New York (1971). Zbl 0234.94055, MR 0289222 |
| Reference:
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[10] A. Rhodius: The maximal value for coefficients of ergodicity.Stochastic Processes Appl. 29 (1988), 141- 143. Zbl 0657.60092, MR 0952825, 10.1016/0304-4149(88)90033-6 |
| Reference:
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[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. MR 0781294, 10.1016/0024-3795(85)90125-9 |
| Reference:
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[12] Т. А. Сарымсаков: Основы теории процессов Маркова.Государственное издательство технико-теоретической литературы, Москва (1954). Zbl 0995.90535 |
| Reference:
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[13] Т. А. Сарымсаков: К теории нзоднородных цепей Маркова.Докл. АН УзССР 8 (1956), 3-7. Zbl 0995.90522 |
| Reference:
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[14] E. Seneta: On the historical development of the theory of finite inhomogeneous Markov chains.Proc. Camb. Phil. Soc. 74 (1973), 507-513. Zbl 0271.60074, MR 0331522, 10.1017/S0305004100077276 |
| Reference:
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[15] E. Seneta: Coefficients of ergodicity: structure and applications.Adv. Appl. Prob. 11 (1979), 576-590. Zbl 0406.60060, MR 0533060, 10.1017/S000186780003281X |
| Reference:
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[16] E. Seneta: Non-negative Matrices and Markov Chains.Springer-Verlag, New York, Heidelberg and Berlin (1981). Zbl 0471.60001, MR 2209438 |
| Reference:
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[17] C. P. Tan: A functional form for a particular coefficient of ergodicity.J. Appl. Prob. 19 (1982), 858-863. Zbl 0501.60074, MR 0675151, 10.2307/3213840 |
| Reference:
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[18] C. P. Tan: Coefficients of ergodicity with respect to vector norms.J. Appl. Prob. 20 (1983), 277-287. Zbl 0515.60072, MR 0698531, 10.2307/3213801 |
| Reference:
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[19] D. Vere-Jones: Geometric ergodicity in denumerable Markov chains.Quart. J. Math. Oxford (2) 13 (1962), 7-28. Zbl 0104.11805, MR 0141160, 10.1093/qmath/13.1.7 |
| . |
