We construct a probabilistic model which â€œmimicsâ€� the behaviour of a certain number-theoretical algorithm. This model involves study of a binary tree with randomly labelled edges, such that the labels have different distributions, depending on their directions. A number of properties of this tree are rigorously studied. As an application, this study could suggest what one could expect in the original algorithm.
|Translated title of the contribution||A probabilistic model for the 5x+1 problem and related maps|
|Pages (from-to)||662 - 674|
|Number of pages||13|
|Journal||Stochastic Processes and their Applications|
|Publication status||Published - Apr 2006|