Blank, M. L. On the coarse coding of chaotic dynamics. (English. Russian original) Zbl 1106.37001 Probl. Inf. Transm. 42, No. 1, 64-68 (2006); translation from Probl. Peredachi Inf. 42, No. 1, 72-77 (2006). The goal of this note is to demonstrate that under weak assumption on a deterministic dynamical system (weak mixing condition), there is a fundamental constraint on elementwise differences among codes corresponding to different trajectories. Reviewer: Messoud A. Efendiev (Berlin) Cited in 1 Document MSC: 37A05 Dynamical aspects of measure-preserving transformations 37A25 Ergodicity, mixing, rates of mixing 37B10 Symbolic dynamics 37D45 Strange attractors, chaotic dynamics of systems with hyperbolic behavior Keywords:weak mixing condition; chaotic dynamics PDF BibTeX XML Cite \textit{M. L. Blank}, Probl. Inf. Transm. 42, No. 1, 64--68 (2006; Zbl 1106.37001); translation from Probl. Peredachi Inf. 42, No. 1, 72--77 (2006) Full Text: DOI References: [1] Bowen, R. Metody simvolicheskoi dinamiki (Methods of Symbolic Dynamics), Moscow: Mir, 1979. [2] Kornfel’d, E.P., Sinai, Ya.G., and Fomin S.V., Ergodicheskaya teoriya, Moscow: Nauka, 1980. Translated under the title Ergodic Theory, New York: Springer, 1982. [3] Blank, M. and Keller, G., Random Perturbations of Chaotic Dynamical Systems: Stability of the Spectrum, Nonlinearity, 1998, vol. 11, no. 5, pp. 1351–1364. · Zbl 0921.58051 · doi:10.1088/0951-7715/11/5/010 [4] Blank M., Ustoichivost’ i lokalizatsiya v khaoticheskoi dinamike (Stability and Localization in Chaotic Dynamics), Moscow: MCCME, 2001. This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.