Consecutive Ratios in Second-Order Linear Recurrence Sequences

Daniel Berend; Rishi Kumar

doi:10.2478/udt-2022-0012

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Consecutive Ratios in Second-Order Linear Recurrence Sequences

Uniform distribution theory

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

By: Daniel Berend and Rishi Kumar

Open Access

|Dec 2022

Abstract

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.

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Articles in this issue

DOI: https://doi.org/10.2478/udt-2022-0012 | Journal eISSN: 2309-5377 | Journal ISSN: 1336-913X

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Language: English

Page range: 51 - 76

Submitted on: Feb 22, 2022

Accepted on: Apr 21, 2022

Published on: Dec 12, 2022

Published by: Slovak Academy of Sciences, Mathematical Institute

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Möbius transformation,

Cauchy distribution,

circular Cauchy distribution,

unique ergodicity

Related subjects:

Mathematics,

Algebra and number theory,

Discrete mathematics,

Probability and statistics,

Numerical and computational mathematics

© 2022 Daniel Berend, Rishi Kumar, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

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