2 problems
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Conjecture on the difficulty of resolving the micro distribution
Micro-resolution conjecture. Resolving is at least as difficult as capturing , and may be more difficult because is more oscillatory in velocity.
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Conjecture on the smallness of the micro-density in the MM-L method
Small-micro-density conjecture. When , should be sufficiently small that the convergence rate of the MM-L method is not harmed.