<abstract xmlns="http://www.w3.org/1999/xhtml">

Let (<italic>a</italic><italic>n</italic>)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 <italic>a</italic><italic>n</italic>+1/<italic>a</italic><italic>n</italic>.
</abstract>

Let (an)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 an+1/an.

Consecutive Ratios in Second-Order Linear Recurrence Sequences

Uniform distribution theory

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

{"article-title":"Consecutive Ratios in Second-Order Linear Recurrence Sequences"}

Let (an)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 in Second-Order Linear Recurrence Sequences

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.

Consecutive Ratios in Second-Order Linear Recurrence Sequences

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

KeywordsMöbius 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.

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