Article PDF
Avoid common mistakes on your manuscript.
References
Averintsev, M. B.: A way of describing random fields with discrete parameter (in Russian). Problemy Peredači Informacii, 6, 100–109 (1970).
Averintsev, M. B.: Description of Markov random fields by conditional Gibbs distributions (in Russian). Teor. Ver. i ee Prim. 17, 2, 21–35 (1972).
Dobrušin, R. L.: Gibbsian random fields for lattice systems with pair interactions. Functional Anal. Appl. 2, 281–301 (1968).
Dobrušin, R. L.: Description of a random field by means of conditional probabilities and conditions of its regularity. Theor. Probability Appl. 13, 197–224 (1968).
Dunford, N. and Schwartz, J.T.: Linear Operators, I. New York: Interscience 1958.
Georgii, H.-O.: Phasenübergang 1. Art bei Gittergasmodellen. Lecture Notes in Physics 16. Heidelberg-Berlin-New York: Springer 1972.
Jacobs, K.: Lecture Notes on Ergodic Theory. Aarhus Universitet: Aarhus 1963.
Lanford III, O.E., Ruelle, D.: Observables at infinity and states with short range correlations in statistical mechanics. Comm. Math. Phys. 13, 194–215 (1969).
Meyer, P.A.: Probability and Potentials. Waltham-Toronto-London: Blaisdell 1966.
Rényi, A.: Probability Theory. North-Holland: Amsterdam 1970.
Spitzer, F.: Random fields and interacting particle systems. Notes on lectures given at the 1971 MAA Summer Seminar, Williams College, Williamstown, Mass. Mathematical Association of America 1971.
Spitzer, F.: A variational characterization of finite Markov chains. Ann. Math. Statist. 93, 1, 1303–1307 (1971).
Thouvenot, J.-P.: Convergence en moyenne de l'information pour l'action de Z2. Z. Wahrscheinlichkeitstheorie verw. Gebiete 24, 2, 135–137 (1972).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Föllmer, H. On entropy and information gain in random fields. Z. Wahrscheinlichkeitstheorie verw Gebiete 26, 207–217 (1973). https://doi.org/10.1007/BF00532723
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00532723