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A differentiation theorem for additive processes. (English) Zbl 0379.60073


MSC:

60J25 Continuous-time Markov processes on general state spaces
47D03 Groups and semigroups of linear operators
46G05 Derivatives of functions in infinite-dimensional spaces
28D05 Measure-preserving transformations
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References:

[1] Akcoglu, M.A., Chacon, R.V.: A local ratio theorem. Canad. J. Math.22, 545-552 (1970) · Zbl 0201.06603
[2] Akcoglu, M.A., Sucheston, L.: A ratio ergodic theorem for super-additive processes. Z. Wahrscheinlichkeitstheorie und Verw. Gebiete (to appear) · Zbl 0386.60045
[3] Ando, T.: Contractive projections onL p-spaces. Pacific J. Math.17, 391-405 (1966) · Zbl 0192.23304
[4] Chacon, R.V., Ornstein, D.S.: A general ergodic theorem. Illinois J. Math.4, 153-160 (1960) · Zbl 0134.12102
[5] Kingman, J.F.C.: The ergodic theory of subadditive stochastic processes. J. Roy. Statist. Soc. Ser.B30, 499-510 (1968) · Zbl 0182.22802
[6] Krengel, U.: A local ergodic theorem. Invent. Math.6, 329-333 (1969) · Zbl 0165.37402
[7] Kubokawa, Y.: A local ergodic theorem for semigroups onL p. Tôhoku Math. J. 2nd Ser.26, 411-422 (1974) · Zbl 0289.47025
[8] Ornstein, D.: The sums of iterates of a positive operator. In: Advances in Probability and Related Topics, vol.2, pp. 87-115. Editor P. Ney. New York: Marcel Dekker 1970 · Zbl 0321.28013
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