Ergodic properties of computer orbits for simple piecewise monotonic transformations

DOI10.1016/0898-1221(88)90135-6zbMath0652.65033OpenAlexW2076766185MaRDI QIDQ1107264

S. H. Smith

Publication date: 1988

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(88)90135-6

zbMATH Keywords

roundoff errorergodic measurepiecewise monotonic transformationscomputer orbitnormalized floating point arithmetic

Mathematics Subject Classification ID

Roundoff error (65G50) Measure-theoretic ergodic theory (28D99) Probabilistic methods, stochastic differential equations (65C99)

Related Items (1)

Why computers like Lebesgue measure

Cites Work

• Unnamed Item
• Generic properties of invariant measures for simple piecewise monotonic transformations
• The simulation of random processes on digital computers with Chebyshev mixing transformations
• The Lorenz equations: bifurcations, chaos, and strange attractors
• On the Existence of Invariant Measures for Piecewise Monotonic Transformations

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