The Dynamical System Generated by the 3n+1 Function [1 ed.] 3540639705, 9783540639701
The 3n+1 function T is defined by T(n)=n/2 for n even, and T(n)=(3n+1)/2 for n odd. The famous 3n+1 conjecture, which re
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English Pages 164 [165] Year 1998
Table of contents :
Introduction....Pages 1-9
Some ideas around 3n+1 iterations....Pages 10-30
Analysis of the Collatz graph....Pages 31-75
3-adic averages of counting functions....Pages 76-95
An asymptotically homogeneous Markov chain....Pages 96-122
Mixing and predecessor density....Pages 123-140
Introduction....Pages 1-9
Some ideas around 3n+1 iterations....Pages 10-30
Analysis of the Collatz graph....Pages 31-75
3-adic averages of counting functions....Pages 76-95
An asymptotically homogeneous Markov chain....Pages 96-122
Mixing and predecessor density....Pages 123-140
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