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Probabilistic metric spaces determined by measure preserving transformations. (English) Zbl 0259.60004

MSC:
60B05 Probability measures on topological spaces
28D05 Measure-preserving transformations
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[1] Billingsley, P.: Convergence of Probability Measures. New York: Wiley 1968. · Zbl 0172.21201
[2] Erber, T., Schweizer, B., Sklar, A.: Mixing transformations on metric spaces. Comm. Math. Phys. 29, 311-317 (1973). · Zbl 0269.28005 · doi:10.1007/BF01646133
[3] Erber, T., Sklar, A.: Macroscopic irreversibility as a manifestation of micro-instabilities. In: Modern Developments in Thermodynamics, B. Gal-Or, ed. Jerusalem-New York: Israel Universities Press-Wiley 1973.
[4] Halmos, P.R.: Lectures on Ergodic Theory. New York: Chelsea 1956. · Zbl 0073.09302
[5] Lebowitz, J.L., Penrose, O.: Modern ergodic theory. Physics Today 26, 23-29 (1973).
[6] Lo?ve, M.: Probability Theory. 3rd edn. Princeton: Van Nostrand 1963.
[7] Schweizer, B., Sklar, A.: Statistical metric spaces. Pacific J. Math. 10, 313-334 (1960). · Zbl 0091.29801
[8] Sherwood, H.: On E-spaces and their relation to other classes of probabilistic metric spaces. J. London Math. Soc. 44, 441-448 (1969). · Zbl 0167.46202 · doi:10.1112/jlms/s1-44.1.441
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