On almost everywhere strong convergence of multi-dimensional continued fraction algorithms
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Publication:4761426
DOI10.1017/S014338570000095XzbMath0977.11031OpenAlexW2167766124MaRDI QIDQ4761426
D. M. Hardcastle, Konstantin M. Khanin
Publication date: 22 January 2002
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s014338570000095x
Lyapunov exponentsJacobi-Perron algorithmmultidimensional continued fractionalmost everywhere strong convergenceordered Jacobi-Perron algorithm
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EXPONENTIALLY STRONG CONVERGENCE OF NON-CLASSICAL MULTIDIMENSIONAL CONTINUED FRACTION ALGORITHMS ⋮ Thed-Dimensional Gauss Transformation: Strong Convergence and Lyapunov Exponents ⋮ The Three-Dimensional Gauss Algorithm Is Strongly Convergent Almost Everywhere ⋮ The Brun gcd algorithm in high dimensions is almost always subtractive ⋮ Multidimensional continued fractions and symbolic codings of toral translations ⋮ Exponentially small splitting of separatrices associated to 3D whiskered tori with cubic frequencies ⋮ On the second Lyapunov exponent of some multidimensional continued fraction algorithms ⋮ The homology core of matchbox manifolds and invariant measures ⋮ Exposants caractéristiques de l'algorithme de Jacobi-Perron et de la transformation associée. (Characteristic exponents of the Jacobi-Perron algorithm and of the associated map) ⋮ The n-dimensional Stern–Brocot tree ⋮ MULTIDIMENSIONAL STURMIAN SEQUENCES AND GENERALIZED SUBSTITUTIONS ⋮ Zero measure spectrum for multi-frequency Schrödinger operators ⋮ Almost everywhere balanced sequences of complexity \(2n + 1\)
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