A point that is minimally expansive and shadowable is topologically stable and GH-stable; a point that is mu-uniformly expansive and mu-shadowable for a Borel measure is strong mu-topologically stable.
Bulletin of the Brazilian Mathematical Society, New Series(2019)
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Stability Theorems in Pointwise Dynamics
A point that is minimally expansive and shadowable is topologically stable and GH-stable; a point that is mu-uniformly expansive and mu-shadowable for a Borel measure is strong mu-topologically stable.