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A note on the dynamics of cyclically permuted direct product maps. (English) Zbl 1337.54031
This paper studies the topological dynamics of maps of the form \((x_1,\dots,x_n)\mapsto(f_{\tau(1)}(x_{\tau{1}}),\dots, f_{\tau(n)}(x_{\tau(n)}))\) on \(X_1\times\cdots\times X_n\), the maps \(f_{\tau(i)}:X_{\tau(i)}\to X_i\) are continuous and \(\tau\) is a cyclic permutation of \(\{1,\dots,n\}\). Topological transitivity and weak topological mixing are related to an iterated function system defined by the map.

54H20 Topological dynamics (MSC2010)
37E99 Low-dimensional dynamical systems
Full Text: DOI
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