OpenAI reports positive area entropy for the standard map at large parameters
- Mathematics
The standard sine map of the two-dimensional torus has positive metric entropy with respect to normalized area for every sufficiently large positive parameter.
OpenAI reports positive area entropy for the standard map at large parameters
- Mathematics
The standard sine map of the two-dimensional torus has positive metric entropy with respect to normalized area for every sufficiently large positive parameter.
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Read the background
The standard sine map of the two-dimensional torus has positive metric entropy with respect to normalized area for every sufficiently large positive parameter.
Why it matters
If correct, proves a full parameter tail and therefore answers Sinai’s positive-parameter-measure conjecture.
What counts as progress
Does the standard sine map have positive area entropy for all sufficiently large parameters?
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OpenAI reports positive area entropy for the standard map at large parameters