<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

Data publikacji: 12 gru 2022

Zakres stron: 51 - 76

Otrzymano: 22 lut 2022

Przyjęty: 21 kwi 2022

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

Słowa kluczowe
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

Data publikacji: 12 gru 2022

Zakres stron: 51 - 76

Otrzymano: 22 lut 2022

Przyjęty: 21 kwi 2022

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

Słowa kluczoweMöbius 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.

Słowa kluczowe
Möbius transformation, Cauchy distribution, circular Cauchy distribution, unique ergodicity