The metrical theory of Jacobi-Perron algorithm

From MaRDI portal
Publication:1845769

DOI10.1007/BFb0059845zbMath0287.10041MaRDI QIDQ1845769

Fritz Schweiger

Publication date: 1973

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)




Related Items

Discrete planes, \({\mathbb Z}^2\)-actions, Jacobi-Perron algorithm and substitutionsScaling properties of \({\mathbb{Z}}^{k-1}\) actions on the circleMesures de Gauss pour des algorithmes de fractions continues multidimensionnellesOn the relaxation time of Gauss' continued-fraction map. I: The Hilbert space approach (Koopmanism)Etude des interruptions dans l'algorithme de Jacobi–PerronConvergence of continued fraction type algorithms and generatorsMarkov Extensions, Zeta Functions, and Fredholm Theory for Piecewise Invertible Dynamical SystemsComputing recurrence coefficients of multiple orthogonal polynomialsMultidimensional continued fractions and symbolic codings of toral translationsErgodic theory for complex continued fractionsComputation of invariant measures and stationary expectations for Markov chains with block-band transition matrixFractions continues multidimensionnelles et lois stablesOn the second Lyapunov exponent of some multidimensional continued fraction algorithmsUsing the Inhomogeneous Simultaneous Approximation Problem for Cryptographic DesignTopological orbit equivalence classes and numeration scales of logistic mapsThe quality of the diophantine approximations found by the Jacobi--Perron algorithm and related algorithmsA multidimensional continued fraction and some of its statistical propertiesA convergence exponent for multidimensional continued-fraction algorithmsOn periodic sequences for algebraic numbersExposants caractéristiques de l'algorithme de Jacobi-Perron et de la transformation associée. (Characteristic exponents of the Jacobi-Perron algorithm and of the associated map)Existence, mixing and approximation of invariant densities for expanding maps on \(\mathbb{R}^r\)Der Satz von Hurwitz beim JacobialgorithmusThe number of steps in a finite Jacobi algorithmGedämpfte zahlentheoretische TransformationenStructure of three interval exchange transformations. I: An arithmetic studyRemarks on invariant measures for number theoretic transformationsNumerical Study of Invariant Sets of a Quasiperiodic Perturbation of a Symplectic MapEFFICIENT COMPUTATION OF MULTIPLIERLESS FILTERS IN EMBEDDED SYSTEMS EMPLOYING AN OPTIMAL APPROXIMATION METHODArithmetic distributions of convergents arising from Jacobi-Perron algorithmA Jacobi algorithm and metric theory for greatest common divisorsMultidimensional greatest common divisor and Lehmer algorithmsThe interruption phenomenon for generalized continued fractionsConvergence of generalized c-fractionsOn Jacobi-Perron algorithmA combinatorial approach to products of Pisot substitutionsA generalized Jacobi-Perron algorithm for the reduction of systems of linear difference equationsA two-dimensional Minkowski \(?(x)\) functionOn the periodic writing of cubic irrationals and a generalization of Rédei functionsComplexity questions in number theoryApproach to equilibrium for locally expanding maps in \({\mathbb{R}}^ k\)The Borel-Bernstein theorem for multidimensional continued fractions