Abstract
We prove that return time sequences for dynamical systems which are abelian extensions of translations, are universaly good for the pointwise ergodic theorem. This can be used to prove the pointwise ergodic theorem along Morse sequence. This last result can also be proved by means of estimations of trigonometric sums.
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© 1992 Springer-Verlag
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Lesigne, E. (1992). Ergodic theorem along a return time sequence. In: Krengel, U., Richter, K., Warstat, V. (eds) Ergodic Theory and Related Topics III. Lecture Notes in Mathematics, vol 1514. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0097535
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DOI: https://doi.org/10.1007/BFb0097535
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