scientific article; zbMATH DE number 741221
From MaRDI portal
Publication:4327557
zbMath0819.11027MaRDI QIDQ4327557
Publication date: 5 April 1995
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
iterationbibliographyinvariant measurescontinued fractionsergodic theoryLebesgue measuredual algorithmsmultidimensional continued fractionquadratic mapdiophantine problemsfibred systemKuzmin equationsnumber expansions
Measure-preserving transformations (28D05) Topological dynamics (37B99) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Entropy and other invariants (28D20) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Ergodic theory (37A99) Metric theory of continued fractions (11K50) Research exposition (monographs, survey articles) pertaining to measure and integration (28-02)
Related Items
On new fractal phenomena connected with infinite linear IFS, Random countable iterated function systems with overlaps and applications, Dynamical directions in numeration, Odd-odd continued fraction algorithm, Invariant measures of piecewise fractional linear maps and piecewise quadratic maps, Thed-Dimensional Gauss Transformation: Strong Convergence and Lyapunov Exponents, The growth speed for the product of consecutive digits in Lüroth expansions, CONTINUED FRACTIONS FOR A CLASS OF TRIANGLE GROUPS, Thermodynamic formalism for countable to one Markov systems, Metrical diophantine approximation for continued fraction like maps of the interval, Multidimensional Farey partitions, On singularity and fine spectral structure of random continued fractions, Attractors of dual continued fractions, A generalized family of multidimensional continued fractions: TRIP Maps, Hausdorff dimension of certain sets arising in Engel expansions, Poisson approximation for the number of large digits of inhomogeneous \(f\)-expansions, Remarks on continued fractions with finitely many digits, Hausdorff dimensions of certain sets in terms of the Sylvester series, On the Lebesgue measure of sum-level sets for Lüroth expansion, Convergence results for Oppenheim expansions. II, Some distribution results of the Oppenheim continued fractions, Invariant measures for Moebius maps with three branches, Almost sure asymptotic behaviour of Birkhoff sums for infinite measure-preserving dynamical systems, Cubic irrationals and periodicity via a family of multi-dimensional continued fraction algorithms, On the $G$-isomorphism of probability and dimensional theories of representations of real numbers and fractal faithfulness of systems of coverings, Farey maps, Diophantine approximation and Bruhat-Tits tree, Some results on invariant measures for \(1\)-dimensional maps, SLOW GROWTH RATE OF THE DIGITS IN ENGEL EXPANSIONS, Invariant measures in non-conformal fibered systems with singularities, Small quotients in Euclidean algorithms, Convergence rate for a continued fraction expansion related to Fibonacci type sequences, Weak Gibbs measures for intermittent systems and weakly Gibbsian states in statistical mechanics, Lochs-type theorems beyond positive entropy, How many points have the same Engel and Sylvester expansions?, Hausdorff dimensions of perturbations of a conformal iterated function system via thermodynamic formalism, Fine costs for Euclid's algorithm on polynomials and Farey maps, Normal Numbers and Symbolic Dynamics, On the growth speed of digits in Engel expansions, A Gauss-Kuzmin theorem and related questions for \(\theta \)-expansions, The dynamics of Pythagorean Triples, Computation of true chaotic orbits using cubic irrationals, Invariant densities for composed piecewise fractional linear maps, Commensurable continued fractions, Hausdorff dimension of certain sets arising in continued fraction expansions, Robust transitivity of maps of the real line, \(\alpha\)-expansions with odd partial quotients, DUAL SKEW PRODUCTS, GENERICITY OF THE EXACTNESS PROPERTY AND FINANCE, A generalization of the self-dual induction to every interval exchange transformation, Continued fraction expansions with variable numerators, Beta-expansion and continued fraction expansion, Arithmetic and metric properties of Oppenheim continued fraction expansions, A conversion algorithm based on the technique of singularization, Equipartition of interval partitions and an application to number theory, The unreasonable effectualness of continued function expansions, Strongly Mixing Sequences of Measure Preserving Transformations, Limiting curlicue measures for theta sums, \(S\)-expansions in dimension two, Euclidean algorithms are Gaussian, Invariant measures for general(ized) induced transformations, Algebraic and ergodic properties of a new continued fraction algorithm with non-decreasing partial quotients, Natural extensions for \(\alpha \)-Rosen continued fractions, Unnamed Item, Statistical properties for nonhyperbolic maps with finite range structure, Arithmetic distributions of convergents arising from Jacobi-Perron algorithm, Inversor of digits \(Q^\ast_2\)-representative of numbers, Jump transformations and an embedding of O∞ into O2, Comparing the effectiveness of two kinds of continued fractions, On the error-sum function of Lüroth series, On the existence of a σ-finite acim for a random iteration of intermittent Markov maps with uniformly contractive part, Combinatorial and probabilistic properties of systems of numeration, Ergodicity of \(N\)-continued fraction expansions, A generalization of the Jarník–Besicovitch theorem by continued fractions, Measures and dimensions in conformal dynamics, Properties and distributions of values of fractal functions related to $\boldsymbol {Q_2}$-representations of real numbers, Skew product Smale endomorphisms over countable shifts of finite type, \( \sigma \)-finite invariant densities for eventually conservative Markov operators, A combinatorial approach to products of Pisot substitutions, A self-dual induction for three-interval exchange transformations, Renewal-type limit theorem for continued fractions with even partial quotients, Entropy production at weak Gibbs measures and a generalized variational principle, A two-dimensional Minkowski \(?(x)\) function, Continued fraction expansions and permutative representations of the Cuntz algebra \(\mathcal O_\infty\), Dimension of exceptional sets arising by the longest block function in Lüroth expansions, A Fréchet law and an Erdős–Philipp law for maximal cuspidal windings, Metrical theory for \(\alpha \)-Rosen fractions, The Dynkin-Lamperti arc-sine laws for measure preserving transformations, Unnamed Item, The fractional dimensional theory in Lüroth expansion, Smale endomorphisms over graph-directed Markov systems, The natural extension of the Gauss map and the Hermite best approximations, Generic points of shift-invariant measures in the countable symbolic space, Topological and fractal properties of real numbers which are not normal, Continued fractions and Brjuno functions, Large deviations for countable to one Markov systems, From greedy to lazy expansions and their driving dynamics, A Gauss-Kusmin theorem for optimal continued fractions, Diagonal changes for surfaces in hyperelliptic components, The Borel-Bernstein theorem for multidimensional continued fractions, Some metric properties of \(\alpha\)-continued fractions., Limiting modular symbols and the Lyapunov spectrum., Ergodicity of Iwasawa continued fractions via markable hyperbolic geodesics, Localized growth speed of the digits in Engel expansions, On the error-sum function of pierce expansions, \(G\)-representation of real numbers and some of its applications, The two-dimensional Boole-type transform and its ergodicity, On the dual of Rauzy induction, Non-trivial matrix actions preserve normality for continued fractions, Dynamics of a family of continued fraction maps, The mathematical research of William Parry FRS, ASYMPTOTIC DISTRIBUTIONS AND LARGE DEVIATIONS FOR ITERATED MAPS WITH AN INDIFFERENT FIXED POINT, APERIODICITY OF COCYCLES AND CONDITIONAL LOCAL LIMIT THEOREMS, On periodic sequences for algebraic numbers, Ergodic properties of the Bolyai-Rényi expansion, Structure of three interval exchange transformations. I: An arithmetic study, On the error-sum function of alternating Lüroth series, Sur un système fibré lié à la suite des nombres premiers, Unnamed Item, Unnamed Item, A note on the largest digits in Lüroth expansion
