论文标题
多维持续分数的自伴
Self-duality of multidimensional continued fractions
论文作者
论文摘要
F.〜schweiger在\ cite {schweiger-mcf}中引入了纤维系统，以统一和推广许多已知的持续分数算法。纤维系统的一个优点是，它通常提供绝对连续不变密度的系统构造。在本文中，我们定义和研究纤维系统的自伴，这是给定系统的强对称性。我们表明，明确的代数自以为是在许多系统中都具有，并提出了一个具有“部分”自二性的好奇系统。
F.~Schweiger introduced the fibred system in \cite{Schweiger-MCF}, to unify and generalize many known continued fraction algorithms. An advantage of a fibred system is that it often provides a systematic construction of 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 presents a curious system with "partial" self-duality.
