• Title of article

    A probabilistic model for the problem and related maps

  • Author/Authors

    Volkov، نويسنده , , Stanislav، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2006
  • Pages
    13
  • From page
    662
  • To page
    674
  • Abstract
    We construct a probabilistic model which “mimics” 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.
  • Keywords
    Random environment on trees , 3 x + 1 Problem , First-passage percolation , Large deviations
  • Journal title
    Stochastic Processes and their Applications
  • Serial Year
    2006
  • Journal title
    Stochastic Processes and their Applications
  • Record number

    1577781