The PDF file you selected should load here if your Web browser has a PDF reader plug-in installed (for example, a recent version of Adobe Acrobat Reader).

Alternatively, you can also download the PDF file directly to your computer, from where it can be opened using a PDF reader. To download the PDF, click the Download link below.

If you would like more information about how to print, save, and work with PDFs, Highwire Press provides a helpful Frequently Asked Questions about PDFs.

Download this PDF file Fullscreen Fullscreen Off

References

  1. R. Bowen. Equilibrium states and the ergodic theory of Anosov diffeomorphisms. Lecture Notes in Mathematics, 470 (1975) Springer-Verlag, Berlin. Math. Review 442989
  2. R.L. Dobrushin. The description of a random field by means of conditional probabilities and conditions of its regularity. Theory Probab. Appl. 13 (1968) 197-224. Math. Review number not available.
  3. A.C.D. van Enter, R. Fernández, and A.D. Sokal. Regularity properties and pathologies of position-space renormalization-group transformations: scope and limitations of Gibbsian theory. J. Stat. Phys. 72 (1993) 879-1167. Math. Review 1241537
  4. A.C.D. van Enter and E. Verbitskiy. Erasure entropies and Gibbs measures. Markov Process. Related Fields 16 (2010) 3-14. Math. Review 2664333
  5. R. Fernández. Gibbsianness and non-Gibbsianness in Lattice random fields. In: Mathematical statistical physics (A. Bovier, A.C.D. van Enter, F. den Hollander and F. Dunlop eds.), (2006) 731-799, Elsevier B. V., Amsterdam. Math. Review 2581896
  6. R. Fernández and G. Maillard. Chains with complete connections and one-dimensional Gibbs measures. Electron. J. Probab. 9 (2004) 145-176. Math. Review 2041831
  7. R. Fernández and G. Maillard. Construction of a specification from its singleton part. ALEA 2 (2006) 297-315. Math. Review 2285734
  8. S. Gallo. Chains with unbounded variable length memory: perfect simulation and visible regeneration scheme. Adv. in Appl. Probab. 43 (2011) 735-759. Math. Review number not available.
  9. H.-O. Georgii. Gibbs Measures and Phase Transitions. de Gruyter Studies in Mathematics, 9 (1988) Walter de Gruyter and Co., Berlin. Math. Review 956646
  10. T.E. Harris. On chains of infinite order. Pacific J. Math. 5 (1955) 707-24. Math. Review 75482
  11. S. Kalikow. Random Markov processes and uniform martingales. Isr. J. Math. 71 (1990) 33-54. Math. Review 1074503
  12. M. Keane. Strongly mixing $g$-measures. Inventiones Math. 16 (1972) 309-324. Math. Review 310193
  13. G. Keller. Equilibrium states in ergodic theory. London Mathematical Society Student Texts, 42 (1998) Cambridge University Press, Cambridge. Math. Review 1618769
  14. O.K. Kozlov. Gibbs description of a system of random variables. Probl. Inform. Transmission 10 (1974) 258-265. Math. Review 467970
  15. O.E. Lanford III and D. Ruelle. Observables at infinity and states with short range correlations in statistical mechanics. Comm. Math. Phys. 13 (1969) 194-215. Math. Review 256687
  16. O. Onicescu and G. Mihoc. Sur les chaînes statistiques. C. R. Acad. Sci. Paris 200 (1935) 511-512. Math. Review number not available.
  17. D. Ruelle. Thermodynamic formalism. Encyclopedia of Mathematics 5 (1978) Addison Wesley, New-York. Math. Review 511655
Bookmark and Share


Creative Commons License
This work is licensed under a Creative Commons Attribution 3.0 License.