On the absence of phase transition in one-dimensional random fields

Author:

Papangelou F.

Publisher

Springer Science and Business Media LLC

Subject

Statistics, Probability and Uncertainty,Statistics and Probability,Analysis,General Mathematics,Statistics and Probability,Analysis

Reference12 articles.

1. Benfatto, G., Presutti, E., Pulvirenti, M.: DLR measures for one-dimensional harmonic systems. Z. Wahrscheinlichkeitstheorie und verw. Gebiete 41, 305?312 (1978)

2. Cassandro, M., Olivieri, E., Pellegrinotti, A., Presutti, E.: Existence and uniqueness of DLR measures for unbounded spin systems. Z. Wahrscheinlichkeitstheorie und verw. Gebiete 41, 313?334 (1978)

3. Cox, T.: An example of phase transition in countable one-dimensional Markov random fields. J. Appl. Probability 14, 205?211 (1977)

4. Dobrushin, R.L.: The description of a random field by means of conditional probabilities and conditions of its regularity (in Russian). Teor. Verojatnost. i Primenen. 13, 201?229 (1968). (English transl.: Theory Probability Appl. 13, 197?224 (1968))

5. Dobrushin, R.L.: Prescribing a system of random variables by conditional distributions (in Russian). Teor. Verojatnost. i Premenen. 15, 469?497 (1970). (English transl.: Theory Probability, Appl. 15, 458?486 (1970))

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4. On the absence of phase transition in one-dimensional random fields;Zeitschrift f�r Wahrscheinlichkeitstheorie und Verwandte Gebiete;1984

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