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math.DS2026
Shadowing Endomorphisms of Compact Groups
Dekui Peng
We characterize shadowing for continuous endomorphisms of compact Hausdorff groups. First, we prove that an endomorphism has shadowing if and only if its restriction to the identit…
math.DS2026
Shadowing in Dynamical Systems: Zero-dimensional Extensions and Inverse Limits
Dekui Peng
Shifts of finite type (SFTs) play a central role in the theory of shadowing. Good and Meddaugh showed that SFTs serve as basic building blocks in the structural theory of shadowing…