The two-dimensional Boole-type transform and its ergodicity

DOI10.1007/s10958-024-06977-6OpenAlexW4391784105MaRDI QIDQ6197768

Alexander A. Balinsky, Anatoliy K. Prykarpatsky

Publication date: 19 February 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-024-06977-6

Mathematics Subject Classification ID

Ergodic theory (37Axx) Measure-theoretic ergodic theory (28Dxx) Probabilistic theory: distribution modulo (1); metric theory of algorithms (11Kxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Ergodicity of Poisson products and applications
• Invariant measures for discrete dynamical systems and ergodic properties of generalized Boole-type transformations
• On a Bernoulli property for multidimensional mappings with finite range structure
• A geometrical approach to quantum holonomic computing algorithms
• The eigenvalues of non-singular transformations
• Number theoretical transformations with finite range structure and their ergodic properties
• Invariant measures for Markov maps of the interval
• Invariant measures for maps of continued fraction type
• The ergodic infinite measure preserving transformation of Boole
• Some remarks on ergodicity and invariant measures
• Numbertheoretical endomorphisms with \(\sigma\)-finite invariant measure
• Ergodic deformations of nonlinear Hamilton systems and local homeomorphism of metric spaces
• Ergodic Theory, Boole Type Transformations, Dynamical Systems Theory
• Representations for real numbers and their ergodic properties
• Infinite ergodicity that preserves the Lebesgue measure
• Distributional chaos revisited
• A Remark on the Exactness of Inner Functions
• Algebraic entropy of (integrable) lattice equations and their reductions
• A central limit theorem for the Birkhoff sum of the Riemann zeta-function over a Boolean type transformation
• Entropy quotients and correct digits in number-theoretic expansions
• Ergodic theory approach to chaos: Remarks and computational aspects
• Exact endomorphisms of a Lebesgue space
• The isomorphism problem in ergodic theory
• A special class of infinite measure-preserving quadratic rational maps
• Ergodic Theory
• Über die Metrisation der topologischen Gruppen