Target-avoidance sets for Manneville-Pomeau maps are α-strong winning for Schmidt's game with uniform α > 0.
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Strong positive recurrence is a property satisfied by all smooth surface diffeomorphisms with positive entropy that guarantees exponential mixing and limit theorems.
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Strong-Winning Target Avoidance for Manneville--Pomeau Maps
Target-avoidance sets for Manneville-Pomeau maps are α-strong winning for Schmidt's game with uniform α > 0.
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Chaos on surfaces and beyond: a new notion of dynamical hyperbolicity
Strong positive recurrence is a property satisfied by all smooth surface diffeomorphisms with positive entropy that guarantees exponential mixing and limit theorems.