Iteration of piecewise linear maps on an interval

DOI10.1017/S0004972700004950zbMath0472.39001OpenAlexW2156980214MaRDI QIDQ3925306

Colin J. Thompson, J. B. McGuire

Publication date: 1981

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700004950

zbMATH Keywords

invariant measuresrescalingpiecewise linear mapsfunctional compositionfirst order difference equationsdoubling transformation

Mathematics Subject Classification ID

Additive difference equations (39A10) Iteration of real functions in one variable (26A18)

Cites Work

• Unnamed Item
• The universal metric properties of nonlinear transformations
• Universal properties of maps on an interval
• Quantitative universality for a class of nonlinear transformations
• On a Class of Transformations which have Unique Absolutely Continuous Invariant Measures