The finitary isomorphism problem for one-dimensional Gibbs systems of molecular type
Annales de l'I.H.P. Physique théorique, Tome 46 (1987) no. 4, pp. 397-414.
@article{AIHPA_1987__46_4_397_0,
     author = {Warstat, Volker},
     title = {The finitary isomorphism problem for one-dimensional {Gibbs} systems of molecular type},
     journal = {Annales de l'I.H.P. Physique th\'eorique},
     pages = {397--414},
     publisher = {Gauthier-Villars},
     volume = {46},
     number = {4},
     year = {1987},
     zbl = {0639.28012},
     mrnumber = {912157},
     language = {en},
     url = {http://archive.numdam.org/item/AIHPA_1987__46_4_397_0/}
}
TY  - JOUR
AU  - Warstat, Volker
TI  - The finitary isomorphism problem for one-dimensional Gibbs systems of molecular type
JO  - Annales de l'I.H.P. Physique théorique
PY  - 1987
DA  - 1987///
SP  - 397
EP  - 414
VL  - 46
IS  - 4
PB  - Gauthier-Villars
UR  - http://archive.numdam.org/item/AIHPA_1987__46_4_397_0/
UR  - https://zbmath.org/?q=an%3A0639.28012
UR  - https://www.ams.org/mathscinet-getitem?mr=912157
LA  - en
ID  - AIHPA_1987__46_4_397_0
ER  - 
Warstat, Volker. The finitary isomorphism problem for one-dimensional Gibbs systems of molecular type. Annales de l'I.H.P. Physique théorique, Tome 46 (1987) no. 4, pp. 397-414. http://archive.numdam.org/item/AIHPA_1987__46_4_397_0/

[1] M.B. Averintzev, On one possibility of the description of random fields with discrete argument (russ.). Problemy Peredači Informacii, t. 6, 1970, p. 100-108.

[2] M.B. Averintzev, Gibbsian representation of random fields whose conditional probabilities may vanish (russ.). Problemy Peredači Informacii, t. 11, 1975, p. 86-96. | MR 478409 | Zbl 0369.60118

[3] M. Denker, Ch. GRILLENBERGER, K. Sigmund, Ergodic theory on compact spaces. Lecture Notes in Math., t. 527, Springer, Berlin, 1976. | MR 457675 | Zbl 0328.28008

[4] N.A. Friedman, D.S. Ornstein, On isomorphism of weak Bernoulli transformations. Adv. in Math., t. 5, 1970, p. 365-394. | MR 274718 | Zbl 0203.05801

[5] M. Keane, M. Smorodinsky, Finitary isomorphisms of irreducible Markov shifts. Israel Journal of Math., t. 34, 1979, p. 281-286. | MR 570887 | Zbl 0431.28015

[6] W. Krieger, On nonsingular transformations of a measure space I., Z. Wahrscheinlichkeitstheorie verw. Gebiete, t. 11, 1969, p. 87-97. | MR 240279 | Zbl 0185.11901

[7] W. Krieger, On nonsingular transformations of a measure space II., Z. Wahrscheinlichkeitstheorie verw. Gebiete, t. 11, 1969, p. 98-119. | MR 240279 | Zbl 0185.11901

[8] W. Krieger, On the finitary isomorphisms of Markov shifts that have finite expected coding time. Z. Wahrscheinlichkeitstheorie verw. Gebiete, t. 65, 1983, p. 323-328. | MR 722135 | Zbl 0516.60075

[9] H. Michel, Embedding set configuration spaces into those of Ruelle's point configurations. Ann. Inst. Henri Poincaré, t. 41, 1984, p. 255-267. | Numdam | MR 776279 | Zbl 0554.70006

[10] W. Parry, Finitary isomorphisms with finite expected code-length. Bull. London Math. Soc., t. 11, 1979, p. 170-176. | MR 541971 | Zbl 0425.60029

[11] W. Parry, K. Schmidt, Natural coefficients and invariants for Markov shifts. Invent. Math., t. 76, 1984, p. 15-32. | MR 739621 | Zbl 0563.28008

[12] W. Parry, S. Tuncel, Classification problems in ergodic theory, Cambridge Univ. Press, Cambridge, New York, 1982. | MR 666871 | Zbl 0487.28014

[13] C.J. Preston, Random fields. Lecture Notes in Math., t. 534, Springer, Berlin, 1976. | MR 448630 | Zbl 0335.60074

[14] D. Ruelle, Thermodynamic formalism, Addison-Wesley-Publ. Comp., London, 1978. | MR 511655

[15] K. Schmidt, Invariants for finitary isomorphisms with finite expected code-length. Invent. math., t. 76, 1984, p. 33-40. | MR 739622 | Zbl 0563.28009

[16] G. Schwenzfeger, Mengen-Konfigurationen-Raume über Z1 als topologische Markov Ketten. Thesis, Halle, 1985.

[17] V. Warstat, The Markov property of states on systems of molecular type, Proceedings of the Conference on Topology and Measure IV, Greifswald, 1984, p. 254-263. | MR 824036 | Zbl 0591.60100

[18] V. Warstat, A variational principle for general polymer systems, Preprint, Halle, 1985. | MR 951116