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A probabilistic model for the 5k+1 problem and related maps

Volkov, Stanislav LU (2006) In Stochastic Processes and their Applications 116(4). p.662-674
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.
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author
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Random environment on trees, Large deviations, First-passage percolation, 3x + 1 Problem
in
Stochastic Processes and their Applications
volume
116
issue
4
pages
662 - 674
publisher
Elsevier
ISSN
1879-209X
language
English
LU publication?
no
id
055d8cf2-1c7e-4b0b-99fc-e784b7e68b91 (old id 4588133)
alternative location
http://www.sciencedirect.com/science/article/pii/S0304414905001602
date added to LUP
2014-08-18 14:38:20
date last changed
2018-11-21 20:39:03
@article{055d8cf2-1c7e-4b0b-99fc-e784b7e68b91,
  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.},
  author       = {Volkov, Stanislav},
  issn         = {1879-209X},
  keyword      = {Random environment on trees,Large deviations,First-passage percolation,3x + 1 Problem},
  language     = {eng},
  number       = {4},
  pages        = {662--674},
  publisher    = {Elsevier},
  series       = {Stochastic Processes and their Applications},
  title        = {A probabilistic model for the 5k+1 problem and related maps},
  volume       = {116},
  year         = {2006},
}