Some applications of the individual ergodic theorem to problems in number theory
Johann Cigler (1964)
Compositio Mathematica
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Johann Cigler (1964)
Compositio Mathematica
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K. Matthews (1992)
Colloquium Mathematicae
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This paper is a continuation of a recent paper [2], in which the authors studied some Markov matrices arising from a mapping T:ℤ → ℤ, which generalizes the famous 3x+1 mapping of Collatz. We extended T to a mapping of the polyadic numbers and construct finitely many ergodic Borel measures on which heuristically explain the limiting frequencies in congruence classes, observed for integer trajectories.
I. Assam, J. Woś (1990)
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Ryotaro Sato (1984)
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R. Buttsworth, K. Matthews (1990)
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Martin H. Ellis, J. Michael Steele (1979)
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Pierre Liardet (1987)
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