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Complexity, randomness, discretization: some remarks on a program of J. Ford

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Publication:1963281
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DOI10.1016/S0167-2789(96)00243-6zbMath0933.37048MaRDI QIDQ1963281

Serge E. Troubetzkoy, Tyll Krueger

Publication date: 24 January 2000

Published in: Physica D (Search for Journal in Brave)


zbMATH Keywords

periodic orbitschaotic dynamical systemssymbolic setting


Mathematics Subject Classification ID

Algorithmic information theory (Kolmogorov complexity, etc.) (68Q30) Generation, random and stochastic difference and differential equations (37H10) Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Symbolic dynamics (37B10) Complexity classes (hierarchies, relations among complexity classes, etc.) (68Q15)


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PSEUDO-RANDOMNESS OF ROUND-OFF ERRORS IN DISCRETIZED LINEAR MAPS ON THE PLANE, An algorithmic view of pseudochaos



Cites Work

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  • The Arnol'd cat: Failure of the correspondence principle
  • Can an individual sequence of zeros and ones be random?
  • Algorithmic complexity of points in dynamical systems
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