2 problems

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Paternain's real-analytic entropy conjecture for integrable geodesic flows
Let a closed manifold carry a geodesic flow that is analytically integrable, meaning integrable by real-analytic first integrals in the sense used in the source, and let…
Conjectureopengeodesic-flows real-analytic-dynamics topological-entropyarXiv posted 2 days ago
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Triviality conjecture for jointly $T_a$ - and analytic $f$ -invariant sets
Let $T_a$ be the fixed transformation, and let $f$ be a real-analytic function on either the real line or the circle: … Assume that $f$ is not affine. A set is jointly $T_a$ - and…
Conjectureopendynamical-systems invariant-sets real-analytic-dynamicsarXiv posted 2 days ago

Paternain's real-analytic entropy conjecture for integrable geodesic flows