A parameterized family of weighted Ducci maps

DOI10.1080/10236190902794944zbMath1228.39018OpenAlexW2110192387MaRDI QIDQ3060068

Ryan J. Zerr

Publication date: 1 December 2010

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236190902794944

zbMATH Keywords

convergenceasymptotic behaviourRoth's theoremdivergencegolden ratioalgebraic irrational numbersreal-valued weightingsweighted Ducci sequences

Mathematics Subject Classification ID

Recurrences (11B37) Additive difference equations (39A10) Approximation to limiting values (summation of series, etc.) (40A25) Low-dimensional dynamical systems (37E99) General theory of functional equations and inequalities (39B05)

Cites Work

• Cycles of differences of integers
• Limiting behavior in Ducci sequences
• Evolution of finite sequences of integers …
• A Problem in Difference Sets

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