Remark on continued fractions, Mobius transformations and cycles

$Remark on continued fractions, Mobius transformations and cycles$

Автор: Kisil V.V.

Журнал: Известия Коми научного центра УрО РАН @izvestia-komisc

Статья в выпуске: 1 (25), 2016 года.

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We review interrelations between continued fractions, Mobius transformations and representations of cycles by 2 x 2 matrices. This leads us to several descriptions of continued fractions through chains of orthogonal or touching horocycles. One of these descriptions was proposed in a recent paper by A. Beardon and I. Short. The approach is extended to several dimensions in a way which is compatible to the early propositions of A. Beardon based on Clifford algebras.

Continued fractions, mobius transformations, cycles, clifford algebra

Короткий адрес: https://sciup.org/14992798

IDR: 14992798

Список литературы Remark on continued fractions, Mobius transformations and cycles

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