Geometrical properties of the mean-median map

DOI10.3934/jcd.2020004zbMath1448.37024arXiv1806.10184OpenAlexW2995821585MaRDI QIDQ2192454

Jonathan Hoseana, Franco Vivaldi

Publication date: 17 August 2020

Published in: Journal of Computational Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.10184

zbMATH Keywords

piecewise-affine functionscontinuity conjecturemean-median mapstrong terminating conjecture

Mathematics Subject Classification ID

Other combinatorial number theory (11B75) Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives (26A27) Dimension theory of smooth dynamical systems (37C45) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (3)

THE AKIYAMA MEAN-MEDIAN MAP HAS UNBOUNDED TRANSIT TIME AND DISCONTINUOUS LIMIT ⋮ On the unboundedness of the transit time of mean-median orbits ⋮ The mean-median map

Cites Work

• The Takagi function: a survey
• On two conjectures for M&m sequences
• The Takagi Function and Its Properties
• The mean-median map
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