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PreprintCC BY-NC-ND 4.0HAL

Orbit-Length Statistics for a Fibonacci Successor-Complement Map and a Recurrence-Based Generalization

  • Moïse Basse
  • El Hadji Deme
  • Mohamed Ben Fraj Ben Maaouia
Open at sourcePDFCite

Abstract

We study the orbit lengths of the integer map defined by the strict Fibonacci successor 𝒟(n)=min{Fk:Fk>n} and its complement ℛ(n)=𝒟(n)−n. If $F_{k-1}\le n

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Cite

BibTeXRIS
BibTeX
@misc{basse2026orbitlength,
  title = {{Orbit-Length Statistics for a Fibonacci Successor-Complement Map and a Recurrence-Based Generalization}},
  author = {Moïse Basse and El Hadji Deme and Mohamed Ben Fraj Ben Maaouia},
  howpublished = {HAL},
  year = {2026},
  month = nov,
  url = {https://hal.science/hal-05855838v1},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Orbit-Length Statistics for a Fibonacci Successor-Complement Map and a Recurrence-Based Generalization
AU  - Moïse Basse
AU  - El Hadji Deme
AU  - Mohamed Ben Fraj Ben Maaouia
PY  - 2026
DA  - 2026/11/07
PB  - HAL
UR  - https://hal.science/hal-05855838v1
AB  - We study the orbit lengths of the integer map defined by the strict Fibonacci successor 𝒟(n)=min{F_k:F_k>n} and its complement ℛ(n)=𝒟(n)−n. If $F_{k-1}\le n
ER  -