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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2026 3verdicts
UNVERDICTED 3representative citing papers
Strong positive recurrence is a property satisfied by all smooth surface diffeomorphisms with positive entropy that guarantees exponential mixing and limit theorems.
Extends equidistribution of endpoints from interval-splitting to nonlinear C^{1+ε} contractions and proves Lebesgue equidistribution under nonlattice and thermodynamic regularity assumptions.
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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.
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A nonlinear version of the $\alpha$-Kakutani equidistribution problem
Extends equidistribution of endpoints from interval-splitting to nonlinear C^{1+ε} contractions and proves Lebesgue equidistribution under nonlattice and thermodynamic regularity assumptions.