The finitary isomorphism problem for one-dimensional Gibbs systems of molecular type

Volker Warstat

Annales de l'I.H.P. Physique théorique (1987)

  • Volume: 46, Issue: 4, page 397-414
  • ISSN: 0246-0211

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Warstat, Volker. "The finitary isomorphism problem for one-dimensional Gibbs systems of molecular type." Annales de l'I.H.P. Physique théorique 46.4 (1987): 397-414. <http://eudml.org/doc/76366>.

@article{Warstat1987,
author = {Warstat, Volker},
journal = {Annales de l'I.H.P. Physique théorique},
keywords = {measure-theoretic dynamical systems; configuration spaces of molecular type; Markov measures; Gibbs measures; Gibbs systems; entropy; finitary isomorphism},
language = {eng},
number = {4},
pages = {397-414},
publisher = {Gauthier-Villars},
title = {The finitary isomorphism problem for one-dimensional Gibbs systems of molecular type},
url = {http://eudml.org/doc/76366},
volume = {46},
year = {1987},
}

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
PB - Gauthier-Villars
VL - 46
IS - 4
SP - 397
EP - 414
LA - eng
KW - measure-theoretic dynamical systems; configuration spaces of molecular type; Markov measures; Gibbs measures; Gibbs systems; entropy; finitary isomorphism
UR - http://eudml.org/doc/76366
ER -

References

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  3. [3] M. Denker, Ch. GRILLENBERGER, K. Sigmund, Ergodic theory on compact spaces. Lecture Notes in Math., t. 527, Springer, Berlin, 1976. Zbl0328.28008MR457675
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  5. [5] M. Keane, M. Smorodinsky, Finitary isomorphisms of irreducible Markov shifts. Israel Journal of Math., t. 34, 1979, p. 281-286. Zbl0431.28015MR570887
  6. [6] W. Krieger, On nonsingular transformations of a measure space I., Z. Wahrscheinlichkeitstheorie verw. Gebiete, t. 11, 1969, p. 87-97. Zbl0185.11901MR240279
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  8. [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. Zbl0516.60075MR722135
  9. [9] H. Michel, Embedding set configuration spaces into those of Ruelle's point configurations. Ann. Inst. Henri Poincaré, t. 41, 1984, p. 255-267. Zbl0554.70006MR776279
  10. [10] W. Parry, Finitary isomorphisms with finite expected code-length. Bull. London Math. Soc., t. 11, 1979, p. 170-176. Zbl0425.60029MR541971
  11. [11] W. Parry, K. Schmidt, Natural coefficients and invariants for Markov shifts. Invent. Math., t. 76, 1984, p. 15-32. Zbl0563.28008MR739621
  12. [12] W. Parry, S. Tuncel, Classification problems in ergodic theory, Cambridge Univ. Press, Cambridge, New York, 1982. Zbl0487.28014MR666871
  13. [13] C.J. Preston, Random fields. Lecture Notes in Math., t. 534, Springer, Berlin, 1976. Zbl0335.60074MR448630
  14. [14] D. Ruelle, Thermodynamic formalism, Addison-Wesley-Publ. Comp., London, 1978. MR511655
  15. [15] K. Schmidt, Invariants for finitary isomorphisms with finite expected code-length. Invent. math., t. 76, 1984, p. 33-40. Zbl0563.28009MR739622
  16. [16] G. Schwenzfeger, Mengen-Konfigurationen-Raume über Z1 als topologische Markov Ketten. Thesis, Halle, 1985. 
  17. [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. Zbl0591.60100MR824036
  18. [18] V. Warstat, A variational principle for general polymer systems, Preprint, Halle, 1985. Zbl0825.49063MR951116

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