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Consecutive Ratios in Second-Order Linear Recurrence Sequences

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| Dec 12, 2022

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Uniform distribution theory

Volume 17 (2022): Issue 2 (December 2022)

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Published Online: Dec 12, 2022

Page range: 51 - 76

Received: Feb 22, 2022

Accepted: Apr 21, 2022

DOI: https://doi.org/10.2478/udt-2022-0012

Keywords
Möbius transformation, Cauchy distribution, circular Cauchy distribution, unique ergodicity

© 2022 Daniel Berend et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Let (a_n)_n=0^∞ be a second-order linear recurrence sequence with constant coefficient. We study the limit points and asymptotic distribution of the sequence of consecutive ratios a_n₊₁/a_n.

eISSN:: 2309-5377
Language:: English

Publication timeframe:: 2 times per year
Journal Subjects:: Mathematics, Algebra and Number Theory, Discrete Mathematics, Probability and Statistics, Numerical and Computational Mathematics

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