Displaying similar documents to “A Markov approach to the generalized Syracuse algorithm”

Some Borel measures associated with the generalized Collatz mapping

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.