2 problems

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Iommi–Kiwi conjecture on Lyapunov inflections for two-branch maps
Iommi–Kiwi conjecture. The spectrum has at most two Lyapunov inflections.
Conjectureopendynamical-systems lyapunov-spectrum multifractal-analysisarXiv posted 3 days ago
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The two-branch cookie-cutter Lyapunov spectrum inflection-point conjecture
Let $T$ be a cookie-cutter map with two branches, and let its Lyapunov spectrum be the function describing the dimension spectrum of invariant measures by their Lyapunov exponents.…
Conjectureopendynamical-systems lyapunov-spectrumarXiv posted 3 days ago

Iommi–Kiwi conjecture on Lyapunov inflections for two-branch maps