A Markov approach to the generalized Syracuse algorithm

DOI10.4064/aa-45-1-29-42zbMath0521.10008OpenAlexW995303445MaRDI QIDQ3671243

No author found.

Publication date: 1985

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/205953

zbMATH Keywords

numerical examplessequence of iteratesgeneralized Syracuse algorithmdistribution among congruence classes mod mirreducible closed setsstationary vectors of Markov matrix

Mathematics Subject Classification ID

Congruences; primitive roots; residue systems (11A07) Radix representation; digital problems (11A63) Stochastic matrices (15B51)

Related Items (6)

Injectivity and surjectivity of Collatz functions ⋮ Quantifying the degree of average contraction of Collatz orbits ⋮ Iterates of Number Theoretic Functions with Periodic Rational Coefficients (Generalization of the 3x+ 1 Problem) ⋮ On the nonexistence of nontrivial small cycles of the \(\mu\) function in \(3x+1\) conjecture ⋮ On a generalization of the \(3x+1\) problem ⋮ The Collatz conjecture and de Bruijn graphs

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