Self-duality of multidimensional continued fractions
Abstract
F. Schweiger introduced the fibred system in [12], to unify and generalize many known continued fraction algorithms.An advantage of a fibred system is that it often provides a systematic construction of an absolutely continuous invariant density.In this paper, we define and study the self-duality of fibred systems, a strong symmetry of a given system.We show that explicit algebraic self-duality holds in many systems and present a curious system with "partial" self-duality.
Fields of Study & Subjects
Mathematical Dynamics and Fractals
Polynomial and algebraic computation
semigroups and automata theory
Publication details
- Journal / source
- Arnold Mathematical Journal
- Publisher
- Association for Mathematical Research
- Volume
- 012
- Issue
- 002
- Pages
- 125–125
- Publication date
- 1 June 2026
- Language
- EN