Unique ergodicity for certain random translations
Authors:
Benton Jamison and Robert Sine
Journal:
Proc. Amer. Math. Soc. 75 (1979), 73-74
MSC:
Primary 28C10; Secondary 60J15
DOI:
https://doi.org/10.1090/S0002-9939-1979-0529216-X
MathSciNet review:
529216
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Abstract | References | Similar Articles | Additional Information
Abstract: Spatially dependent convex combinations of a pair of irrationally related translations on R are shown to admit at most one invariant probability. The only condition on the coefficient functions is measurability and essential positivity.
- [1] M. F. Norman, Markov processes and learning models, Academic Press, New York, 1972. MR 0423546 (54:11522)
- [2] -, Markovian learning processes, SIAM Rev. 16 (1974), 143-162. MR 0343372 (49:8114)
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1979-0529216-X
Keywords:
Invariant probability,
unique ergodicity,
Markov operator,
random ergodic theory,
learning model
Article copyright:
© Copyright 1979
American Mathematical Society
