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

  • Berbee, Henry. Chains with infinite connections: uniqueness and Markov representation. Probab. Theory Related Fields 76 (1987), no. 2, 243--253. MR0906777
  • Birkner, Matthias. Conditional large deviations for a sequence of words. Stochastic Process. Appl. 118 (2008), no. 5, 703--729. MR2411517
  • Birkner, Matthias; Greven, Andreas; den Hollander, Frank. Quenched large deviation principle for words in a letter sequence. Probab. Theory Related Fields 148 (2010), no. 3-4, 403--456. MR2678894
  • Dembo, Amir; Zeitouni, Ofer. Large deviations techniques and applications. Second edition. Applications of Mathematics (New York), 38. Springer-Verlag, New York, 1998. xvi+396 pp. ISBN: 0-387-98406-2 MR1619036
  • Deuschel, Jean-Dominique; Stroock, Daniel W. Large deviations. Pure and Applied Mathematics, 137. Academic Press, Inc., Boston, MA, 1989. xiv+307 pp. ISBN: 0-12-213150-9 MR0997938
  • Donsker, M. D.; Varadhan, S. R. S. Asymptotic evaluation of certain Markov process expectations for large time. IV. Comm. Pure Appl. Math. 36 (1983), no. 2, 183--212. MR0690656
  • Donsker, M. D.; Varadhan, S. R. S. Large deviations for stationary Gaussian processes. Comm. Math. Phys. 97 (1985), no. 1-2, 187--210. MR0782966
  • Halmos, Paul R. Lectures on ergodic theory. Chelsea Publishing Co., New York 1960 vii+101 pp. MR0111817
  • den Hollander, Frank; Steif, Jeffrey E. Mixing properties of the generalized $T,T^ {-1}$-process. J. Anal. Math. 72 (1997), 165--202. MR1482994
  • Johansson, Anders; Öberg, Anders. Square summability of variations of $g$-functions and uniqueness of $g$-measures. Math. Res. Lett. 10 (2003), no. 5-6, 587--601. MR2024717
  • Johansson, Anders; Öberg, Anders; Pollicott, Mark. Countable state shifts and uniqueness of $g$-measures. Amer. J. Math. 129 (2007), no. 6, 1501--1511. MR2369887
  • Ledrappier, F. Sur la condition de Bernoulli faible et ses applications. (French) Théorie ergodique (Actes Journées Ergodiques, Rennes, 1973/1974), pp. 152--159. Lecture Notes in Math., Vol. 532, Springer, Berlin, 1976. MR0507548
  • Orey, Steven. Large deviations in ergodic theory. Seminar on stochastic processes, 1984 (Evanston, Ill., 1984), 195--249, Progr. Probab. Statist., 9, Birkhäuser Boston, Boston, MA, 1986. MR0896730
  • Orey, Steven; Pelikan, Stephan. Large deviation principles for stationary processes. Ann. Probab. 16 (1988), no. 4, 1481--1495. MR0958198
  • K.S. Parthasarathy, Probability Measures on Metric Spaces, Vol. 352, American Mathematical Society, 1967.
Bookmark and Share


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