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Consecutive Ratios in Second-Order Linear Recurrence Sequences

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| 12 déc. 2022

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Uniform distribution theory

Édition 17 (2022): Edition 2 (December 2022)

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Publié en ligne: 12 déc. 2022

Pages: 51 - 76

Reçu: 22 févr. 2022

Accepté: 21 avr. 2022

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

Mots clés
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
Langue:: Anglais

Périodicité:: 2 fois par an
Sujets de la revue:: Mathematics, Algebra and Number Theory, Discrete Mathematics, Probability and Statistics, Numerical and Computational Mathematics

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