References
E. Artin, Ein mechanisches System mit quasi-ergodischen Bahnen, Collected Papers 499-501, Ed. Addison-Wesley, 1965
G. H. Hardy and E. M. Wright, Theory of Numbers, Oxford University Press
G. A. Hedlund, A metrically transitive group defined by the modular group, Amer. J. Math. 57 (1935), 668–678.
E. Hopf, Ergodentheorie, Ber. Verh. Sachs. Akad. Wiss. Leipzig 91 (1939), 261
A. Ya. Khinchin, Metrische Kettenbruchprobleme, Compositio Math. 1 (1935), 361–382
C. Series, The infinite word problem and Fuchsian groups, J. Ergodic Theory and Dynamical Systems 1 (1981), 337–360
C. Series, On Coding Geodesies with Continued Fractions, Monographie 29, ĽEnseignement Mathématique, Univ. de Genève, 1981
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Series, C. Non-euclidean geometry, continued fractions, and ergodic theory. The Mathematical Intelligencer 4, 24–31 (1982). https://doi.org/10.1007/BF03022992
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DOI: https://doi.org/10.1007/BF03022992