Positive Metric Entropy for the Standard Map at Large Parameters
Source: github.com/openai/math/tree/main/preprints/Positive-Metric-…
We prove that the standard sine map of the two-dimensional torus has positive metric entropy with respect to normalized area for every sufficiently large positive parameter. This gives a full parameter tail, and hence answers Sinai's positive-parameter-measure conjecture affirmatively.
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Positive entropy for Standard Map by Open AI - Quantum Calculusquantumcalculus.orgOliver Knill
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