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Poincaré sequences in infinite measure spaces and complementing subsets of the integers

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Dynamical Systems

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1342))

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References

  1. de Bruijn, N.G., "On Bases For The Set Of Integers", Publ. Math. (Debrecen) 1 (1950), 232–242.

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  2. Eigen, S. and Hajian, A., "Sequences Of Integers And Ergodic Transformtions", to appear in Advances in Math.

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  3. S. Eigen, A. Hajian and Y. Ito, "Ergodic Measure Preserving Transformations Of Finite Type", preprint.

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  4. Friedman, N., "Introduction To Ergodic Theory", (1970) Van Nostrand, New York.

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  5. Furstenberg, H., "Recurrence in Ergodic Theory And Combinatorial Number Theory", (1981), Princeton University Press, Princeton, New Jersey

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  6. Hajian, A. and Kakutani, S., "An Example Of An Ergodic Measure Preserving Transformation On An Infinite Measure Space", Lecture Notes in Math. #160, Springer Verlag (1970), 45–52

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  7. Long, Calvin T. "Addition Theorems For Sets Of Integers", Pacific J. Math., 22 (1967), 107–112.

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James C. Alexander

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© 1988 Springer-Verlag

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Eigen, S., Hajian, A. (1988). Poincaré sequences in infinite measure spaces and complementing subsets of the integers. In: Alexander, J.C. (eds) Dynamical Systems. Lecture Notes in Mathematics, vol 1342. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0082828

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  • DOI: https://doi.org/10.1007/BFb0082828

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50174-9

  • Online ISBN: 978-3-540-45946-0

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