A slow triangle map with a segment of indifferent fixed points and a complete tree of rational pairs

Author:

Bonanno ClaudioORCID,Del Vigna Alessio,Munday Sara

Funder

Università di Pisa

Ministero dell’Istruzione, dell’Università e della Ricerca

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference27 articles.

1. Aaronson, J.: “An Introduction to Infinite Ergodic Theory”. Mathematical Surveys and Monographs, vol. 50. American Mathematical Society, Providence (1997)

2. Amburg, I., et al.: Stern sequences for a family of multidimensional continued fractions: TRIP-Stern sequences. J. Integer Seq. 20(1), Article 17.1.7 (2017)

3. Bingham, N.H., Goldie, C.M., Teugels, J.L.: “Regular Variation”, Encyclopedia of Mathematics and Its Applications, vol. 27. Cambridge University Press, Cambridge (1989)

4. Bonanno, C., Del Vigna, A.: Representation and coding of rational pairs on a triangular tree and Diophantine approximation in $${\mathbb{R}}^{2}$$. arXiv:2007.05958 [math.NT]

5. Bonanno, C., Isola, S.: Orderings of the rationals and dynamical systems. Colloq. Math. 116(2), 165–189 (2009)

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