Return of Fibonacci random walks

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We determine the probability of return for random walks on Z whose increment is given by the Fibonacci sequence. In addition we calculate the Hausdorff dimension of the set of these walks that return an infinite number of times.

Original languageEnglish
JournalStatistics and Probability Letters
Volume121
Pages (from-to)51-53
Number of pages3
ISSN0167-7152
DOIs
Publication statusPublished - 01.02.2017

    Research areas

  • Fibonacci numbers, Hausdorff dimension, Probability of return, Random walks
  • Mathematics

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