A generalized family of multidimensional continued fractions: TRIP Maps

DOI10.1142/S1793042114500730zbMath1378.11074arXiv1206.7077OpenAlexW2134573412MaRDI QIDQ2931757

Laure Flapan, Sarah Peluse, Nicholas Neumann-Chun, Krishna Dasaratha, Matthew Stoffregen, Thomas Garrity, Cornelia Mihaila, Chansoo Lee

Publication date: 27 November 2014

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.7077

zbMATH Keywords

Jacobi-Perron algorithmmultidimensional continued fractionsHermite problemtriangle map

Mathematics Subject Classification ID

Continued fractions and generalizations (11J70) Continued fractions (11A55)

Related Items (5)

Linear recurrence sequences and periodicity of multidimensional continued fractions ⋮ Cubic irrationals and periodicity via a family of multi-dimensional continued fraction algorithms ⋮ On integer partitions and continued fraction type algorithms ⋮ Generalizing the Minkowski question mark function to a family of multidimensional continued fractions ⋮ On $p$-adic multidimensional continued fractions

Cites Work

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• The quality of the diophantine approximations found by the Jacobi--Perron algorithm and related algorithms
• Multidimensional continued fractions and a Minkowski function
• Best simultaneous Diophantine approximations. II: Behavior of consecutive best approximations
• Ergodic properties of triangle partitions

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