Ergodic maps on [0, 1] and nonlinear pseudo-random number generators

DOI10.1016/0362-546X(78)90054-8zbMath0407.28011OpenAlexW1989116933MaRDI QIDQ4193698

James A. Yorke, Tien-Yien Li

Publication date: 1978

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(78)90054-8

zbMATH Keywords

Approximately Uniformly DistributedErgodic MapsFrobenius-Perron OperatorNonlinear Pseudo-Random Number Generators

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Random number generation in numerical analysis (65C10)

Related Items (9)

Pseudorandom number generator based on the Bernoulli map on cubic algebraic integers ⋮ An application of deterministic chaotic maps to model packet traffic ⋮ Pseudorandom number generation using chaotic true orbits of the Bernoulli map ⋮ Exponential decay of correlations for a real-valued dynamical system generated by a \(k\) dimensional system ⋮ Randomness implies order ⋮ Copulas related to piecewise monotone functions of the interval and associated processes ⋮ Construction of ergodic transformations ⋮ A mechanism for randomness ⋮ Chaos-induced true randomness

Cites Work

• Representations for real numbers and their ergodic properties
• On the Existence of Invariant Measures for Piecewise Monotonic Transformations
• Period Three Implies Chaos
• Ergodic Transformations from an Interval Into Itself
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