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The finitary isomorphism theorem for Markov shifts
Authors:
M. Keane and M. Smorodinsky
Journal:
Bull. Amer. Math. Soc. 1 (1979), 436-438
MSC (1970):
Primary 28A65
MathSciNet review:
520082
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References |
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Additional Information
- 1.
M.
A. Akcoglu, A.
del Junco, and M.
Rahe, Finitary codes between Markov processes, Z. Wahrsch.
Verw. Gebiete 47 (1979), no. 3, 305–314. MR 525312
(80d:28043), http://dx.doi.org/10.1007/BF00535166
- 2.
R.
L. Adler, P.
Shields, and M.
Smorodinsky, Irreducible Markov shifts, Ann. Math. Statist.
43 (1972), 1027–1029. MR 0307348
(46 #6468)
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Roy
L. Adler and Brian
Marcus, Topological entropy and equivalence of dynamical
systems, Mem. Amer. Math. Soc. 20 (1979),
no. 219, iv+84. MR 533691
(83h:28027)
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Roy
L. Adler and Benjamin
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the American Mathematical Society, No. 98, American Mathematical Society,
Providence, R.I., 1970. MR 0257315
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Rufus
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(52 #6786)
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N.
A. Friedman and D.
S. Ornstein, On isomorphism of weak Bernoulli transformations,
Advances in Math. 5 (1970), 365–394 (1970). MR 0274718
(43 #478c)
- 7.
M.
Keane and M.
Smorodinsky, A class of finitary codes, Israel J. Math.
26 (1977), no. 3-4, 352–371. MR 0450514
(56 #8808)
- 8.
Michael
Keane and Meir
Smorodinsky, Bernoulli schemes of the same entropy are finitarily
isomorphic, Ann. of Math. (2) 109 (1979), no. 2,
397–406. MR
528969 (80f:28024), http://dx.doi.org/10.2307/1971117
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M.
Smorodinsky, 𝛽-automorphisms are Bernoulli shifts,
Acta Math. Acad. Sci. Hungar. 24 (1973), 273–278. MR 0346133
(49 #10859)
- 1.
- M. A. Akcoglu, A. del Junco and M. Rahe, Finitary codes between Markov processes (to appear). MR 525312
- 2.
- R. L. Adler, P. Shields and M. Smorodinsky, Irreducible Markov shifts, Ann. Math. Statist. 43 (1972), 1027-1029. MR 307348
- 3.
- R. L. Adler and B. Marcus, Topological entropy and equivalence of dynamical systems (to appear). MR 533691
- 4.
- R. Adler and B. Weiss, Similarity of automorphisms of the torus, Mem. Amer. Math. Soc. No. 98 (1970). MR 257315
- 5.
- R. Bowen, Smooth partitions of Anosov diffeomorphism are weak Bernoulli, Israel J. Math. 21 (1975), 95-100. MR 385927
- 6.
- N. Friedman and D. S. Ornstein, On isomorphism of weak Bernoulli transformations, Advances in Math. 5 (1971), 354-394. MR 274718
- 7.
- M. Keane and M. Smorodinsky, A class of finitary codes, Israel J. Math. 26 (1977), 352-371. MR 450514
- 8.
- M. Keane and M. Smorodinsky, Bernoulli schemes of the same entropy are finitarily isomorphic, Ann. of Math, (to appear). MR 528969
- 9.
- M. Smorodinsky, β-Automorphisms are Bernoulli shifts, Acta Math. Acad. Sci. Hungar. 24 (1973), 273-278. MR 346133
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0273-0979-1979-14633-0
PII:
S 0273-0979(1979)14633-0
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