Concepedia

Farey Sequence Recurrence Relations

Farey Sequence Recurrence Relations is a mathematical framework that specifies the iterative generation of successive terms in a Farey sequence through ordered mediant operations and coprimality conditions, distinguishing it from other recurrence models by its reliance on fractional adjacency and determinant-based selection rules.

11

Publications

271

Citations

13

Authors

9

Institutions

Publications per year

2017–2026

1

Parents

Publications

11

A Note on Farey Series

R. R. Hall · Journal of the London Mathematical Society · 1970 · 62 citations

, , +6

Chaos in a Farey Sequence through Period Doubling in the Peroxidase-Oxidase Reaction

T. Hauck, F. W. Schneider · The Journal of Physical Chemistry · 1994 · 34 citations

, , +9

On consecutive Farey arcs

Robert E. Hall, Gérald Tenenbaum · Acta Arithmetica · 1984 · 34 citations · Full text

, , +4

Generalized Farey Trees, Transfer Operators and Phase Transitions

Mirko Degli Esposti, Stefano Isola, Andreas Knauf · Communications in Mathematical Physics · 2007 · 29 citations

, , +14

Circuits with Oscillatory Hierarchical Farey Sequences and Fractal Properties

Circuits Systems and Signal Processing · 2012 · 21 citations

, , +13

1–5 of 11

Authors

13

  1. RE
    Robert E. Hall

    Hoover Institution, United States

    2 publications · 50 citations

    2

    h-index

  2. SP
    S. P. Glasby

    Central Washington University, United States

    1 publications · 15 citations

    1

    h-index

  3. JP
    Jakub Pawlewicz

    University of Warsaw, Poland

    1 publications · 13 citations

    1

    h-index

  4. GT
    Gérald Tenenbaum

    Université de Lorraine, France

    1 publications · 34 citations

    1

    h-index

  5. TH
    T. Hauck

    1 publications · 34 citations

    1

    h-index

1–5 of 13

Institutions

9

  1. Friedrich-Alexander-Universität Erlangen-Nürnberg

    Erlangen, Germany

    1 h-index

    1 publications

    29 citations

  2. University of Nottingham

    Nottingham, United Kingdom

    1 h-index

    1 publications

    62 citations

  3. Università di Camerino

    Camerino, Italy

    1 h-index

    1 publications

    29 citations

  4. Central Washington University

    Ellensburg, United States

    1 h-index

    1 publications

    15 citations

  5. University of Bologna

    Bologna, Italy

    1 h-index

    1 publications

    29 citations

  6. University of Warsaw

    Warsaw, Poland

    1 h-index

    1 publications

    13 citations

  7. IIT@MIT

    Cambridge, United States

    1 h-index

    1 publications

    13 citations

  8. Massachusetts Institute of Technology

    Cambridge, United States

    1 h-index

    1 publications

    13 citations

1–8 of 9

Venues

  1. Acta Arithmetica

    2 publications · 50 citations

    2

    h-index

  2. Journal of the London Mathematical Society

    1 publications · 62 citations

    1

    h-index

  3. 1

    h-index

  4. 1

    h-index

  5. The Journal of Physical Chemistry

    1 publications · 34 citations

    1

    h-index

1–5