Commuting Expanding Dynamics

Maria Carvalho

Abstract: There are several indications that the commutativity between two dynamics induces restrictions at very important levels. The event of two commuting distinct dynamics is rather rare, at least among special families like Anosov diffeomorphisms, as explained in [PY1] and [PY2]. Since it is unusual, if commutativity is present a price is expected, as a relative scarcity of common invariants. The best sources to evince rigidity instances among commuting expanding dynamics are [F], [L] and [R]. We intend to add here another example.

Classification (MSC2000): 58F11, 28D05.

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