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October 12, 2025Open Access

Polynomial entropy of induced homeomorphisms on C(S¹)

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Polynomial entropy is computed for C(f) in the context of circle homeomorphisms.
The results indicate relationships between polynomial entropy and the dynamics of induced homeomorphisms.
This framework enhances our understanding of dynamical systems on C(S^1).
The findings suggest further investigations can be applied in functional analysis.

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This analysis computes polynomial entropy for C(f) where f is a circle homeomorphism, suggesting implications for dynamical systems.

We compute the polynomial entropy of $C(f)$ where f is any circle homeomorphism.

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Đorić et al. (2025) studied this question.

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This analysis computes polynomial entropy for C(f) where f is a circle homeomorphism, suggesting implications for dynamical systems.

We compute the polynomial entropy of $C(f)$ where f is any circle homeomorphism.