Stability of interval translation maps is characterized by absence of critical connections and matching.
arXiv preprint arXiv:2312.10533 , year=
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Finite type ITMs contain an open dense subset of all ITMs for every r ≥ 2.
A transversality theorem is proved for dynamically defined vector subspaces of interval translation maps, yielding a perturbation result that controls first-return dynamics while preserving global behavior.
citing papers explorer
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Characterisation of Stability for Interval Translation Maps
Stability of interval translation maps is characterized by absence of critical connections and matching.
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Topological Prevalence of Finite Type Interval Translation Maps
Finite type ITMs contain an open dense subset of all ITMs for every r ≥ 2.
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Transversality for Interval Translation Maps
A transversality theorem is proved for dynamically defined vector subspaces of interval translation maps, yielding a perturbation result that controls first-return dynamics while preserving global behavior.