Allowed Patterns of Symmetric Tent Maps via Commuter Functions
نویسندگان
چکیده
We introduce a new technique to study pattern avoidance in dynamical systems, namely the use of a commuter function between non-conjugate dynamical systems. We investigate the properties of such a commuter function, specifically h : [0, 1]→ [0, 1] satisfying T1 ◦ h = h ◦ Tμ, where Tμ denotes a symmetric tent map of height μ. We make use of this commuter function to prove strict inclusion of the set of allowed patterns of Tμ in the set of allowed patterns of T1.
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ورودعنوان ژورنال:
- SIAM J. Discrete Math.
دوره 31 شماره
صفحات -
تاریخ انتشار 2017