A concentric spherical shell maximizes the first Robin eigenvalue for annular domains under volume and perimeter constraints in higher dimensions.
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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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On the Hersch-Weinberger inequality in higher dimensions
A concentric spherical shell maximizes the first Robin eigenvalue for annular domains under volume and perimeter constraints in higher dimensions.
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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.