scientific article; zbMATH DE number 1503600
From MaRDI portal
Publication:4501766
zbMath0981.11029MaRDI QIDQ4501766
Publication date: 10 September 2000
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
convergenceperiodicityBrun algorithmJacobi-Perron algorithmmultidimensional continued fraction algorithmsGüting algorithmfractional linear mapsPoincaré algorithmSelmer algorithmfully subtractive algorithms
Research exposition (monographs, survey articles) pertaining to number theory (11-02) Continued fractions and generalizations (11J70) Metric theory of continued fractions (11K50)
Related Items (only showing first 100 items - show all)
An output-sensitive algorithm to compute the normal vector of a digital plane ⋮ The Life, Work, and Legacy of P. L. Chebyshev ⋮ Geometrical and spectral properties of Pisot substitutions ⋮ Ergodicity of Iwasawa continued fractions via markable hyperbolic geodesics ⋮ Generation and recognition of digital planes using multi-dimensional continued fractions ⋮ Dynamical directions in numeration ⋮ Families of periodic Jacobi-Perron algorithms for all period lengths ⋮ Some dynamic properties of the modified negative slope algorithm ⋮ On some symmetric multidimensional continued fraction algorithms ⋮ Metrical diophantine approximation for continued fraction like maps of the interval ⋮ Multidimensional Farey partitions ⋮ Computation of the best Diophantine approximations and of fundamental units of algebraic fields ⋮ Ergodic properties of triangle partitions ⋮ On Hermite’s problem, Jacobi–Perron type algorithms, and Dirichlet groups ⋮ Simplex-karyon algorithm of multidimensional continued fraction expansion ⋮ Moments for the multidimensional Mönkemeyer algorithm ⋮ A generalized family of multidimensional continued fractions: TRIP Maps ⋮ Simplicity of spectra for certain multidimensional continued fraction algorithms ⋮ Multidimensional continued fractions for cyclic quotient singularities and Dedekind sums ⋮ Continued fractions on the Heisenberg group ⋮ The Brun gcd algorithm in high dimensions is almost always subtractive ⋮ Multidimensional continued fractions, dynamical renormalization and KAM theory ⋮ A study of Jacobi-Perron boundary words for the generation of discrete planes ⋮ Periodic karyon expansions of algebraic units in multidimensional continued fractions ⋮ The convergence of the generalised Selmer algorithm ⋮ Computing recurrence coefficients of multiple orthogonal polynomials ⋮ Cubic irrationals and periodicity via a family of multi-dimensional continued fraction algorithms ⋮ Geometry, dynamics, and arithmetic of $S$-adic shifts ⋮ Numeration and discrete dynamical systems ⋮ Some results on invariant measures for \(1\)-dimensional maps ⋮ Probabilistic analyses of the plain multiple gcd algorithm ⋮ Rational approximation of maximal commutative subgroups of \(\mathrm{GL}(n,\mathbb R){\mathrm{GL}(n,\mathbb{R})}\) ⋮ Brun expansions of stepped surfaces ⋮ The best approximation of algebraic numbers by multidimensional continued fractions ⋮ A local algorithm for constructing derived tilings of the two-dimensional torus ⋮ On the finiteness and periodicity of the 𝑝-adic Jacobi–Perron algorithm ⋮ Hausdorff dimensions of perturbations of a conformal iterated function system via thermodynamic formalism ⋮ A Note on Lyapunov Theory for Brun Algorithm ⋮ New generalization of continued fraction. I ⋮ Invariant simplices for subtractive algorithms ⋮ Computation of true chaotic orbits using cubic irrationals ⋮ A slow triangle map with a segment of indifferent fixed points and a complete tree of rational pairs ⋮ Invariant densities for composed piecewise fractional linear maps ⋮ The modified Jacobi-Perron algorithm over \(\mathbb F_q (X)^d\) ⋮ Factor complexity of \(S\)-adic words generated by the Arnoux-Rauzy-Poincaré algorithm ⋮ S-adic Sequences: A Bridge Between Dynamics, Arithmetic, and Geometry ⋮ Eigenvalues of minimal Cantor systems ⋮ What do continued fractions accomplish? ⋮ On the second Lyapunov exponent of some multidimensional continued fraction algorithms ⋮ Like-charge attraction in a one-dimensional setting: the importance of being odd ⋮ Good’s theorem for Hurwitz continued fractions ⋮ Some ergodic properties of the negative slope algorithm ⋮ Using the Inhomogeneous Simultaneous Approximation Problem for Cryptographic Design ⋮ Linear-fractional invariance of multidimensional continued fractions ⋮ Linear-fractional invariance of the simplex-module algorithm for expanding algebraic numbers in multidimensional continued fractions ⋮ Localized Pisot matrices and joint approximations of algebraic numbers ⋮ A conversion algorithm based on the technique of singularization ⋮ Asymptotics for two-dimensional Farey-Brocot nets ⋮ On Schweiger's problems on fully subtractive algorithms ⋮ Denominator-preserving maps ⋮ \(S\)-expansions in dimension two ⋮ The Automorphism Group of Falsum-Free Product Logic ⋮ The karyon algorithm for expansion in multidimensional continued fractions ⋮ Bounds for the traveling salesman paths of two-dimensional modular lattices ⋮ Rotation encoding and self-similarity phenomenon ⋮ A multidimensional continued fraction based on a high-order recurrence relation ⋮ Absorbing sets of homogeneous subtractive algorithms ⋮ A thermodynamic classification of real numbers ⋮ Discrete geometry and numeration ⋮ A new multidimensional continued fraction algorithm ⋮ Generalizing the Minkowski question mark function to a family of multidimensional continued fractions ⋮ Arithmetic distributions of convergents arising from Jacobi-Perron algorithm ⋮ Diophantine properties of continued fractions on the Heisenberg group ⋮ Analysis of generalized continued fraction algorithms over polynomials ⋮ A Rauzy fractal unbounded in all directions of the plane ⋮ Ergodicity for \(p\)-adic continued fraction algorithms ⋮ Generation and Recognition of Digital Planes Using Multi-dimensional Continued Fractions ⋮ Decreasing height along continued fractions ⋮ Convergence of the Brun algorithm over the field of formal power series ⋮ Bispecial Factors in the Brun S-Adic System ⋮ The n-dimensional Stern–Brocot tree ⋮ On $p$-adic multidimensional continued fractions ⋮ Stoker's Problem for Quasi-periodically Forced Reversible Systems with Multidimensional Liouvillean Frequency ⋮ Arithmetic Discrete Planes Are Quasicrystals ⋮ On the Connecting Thickness of Arithmetical Discrete Planes ⋮ A two-dimensional Minkowski \(?(x)\) function ⋮ Calculation of fundamental units of number rings by means of the generalized continued fraction ⋮ Zero measure spectrum for multi-frequency Schrödinger operators ⋮ A 2-DIMENSIONAL ALGORITHM RELATED TO THE FAREY–BROCOT SEQUENCE ⋮ Unnamed Item ⋮ Best simultaneous Diophantine approximations and Lévy's theorem. ⋮ On the periodic writing of cubic irrationals and a generalization of Rédei functions ⋮ A NEW SYMMETRIC TWO-DIMENSIONAL ALGORITHM ⋮ A two-dimensional continued fraction algorithm with Lagrange and Dirichlet properties ⋮ Lebesgue Ergodicity of a Dissipative Subtractive Algorithm ⋮ The low-frequency limiting behavior of ambipolar diffusive models of impedance spectroscopy ⋮ Almost everywhere balanced sequences of complexity \(2n + 1\) ⋮ Pure discrete spectrum for a class of one-dimensional substitution tiling systems ⋮ Representation and coding of rational pairs on a triangular tree and Diophantine approximation in $\mathbb R^2$ ⋮ Multidimensional continued fractions and symbolic codings of toral translations
This page was built for publication: