Proves the conditional minimal-intermediate-entropy property holds for topologically expanding maps, transitive countable Markov shifts, and symbolic systems with non-uniform structure via adapted multi-horseshoe constructions.
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math.DS 2years
2026 2verdicts
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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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Abundance of minimal measures via entropy and multifractal analysis
Proves the conditional minimal-intermediate-entropy property holds for topologically expanding maps, transitive countable Markov shifts, and symbolic systems with non-uniform structure via adapted multi-horseshoe constructions.
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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.