For restrictive tight maps including Chacon, a universal exceptional set J exists with |J ∩ [0,n]| ≤ (log n)^{h(n)} for any diverging h, shown sharp for some maps via return-time recursions, with applications to other weakly mixing systems.
Singular continuous spectrum and quantitative rates of wea k mixing
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Size of exceptional sets in weakly mixing systems
For restrictive tight maps including Chacon, a universal exceptional set J exists with |J ∩ [0,n]| ≤ (log n)^{h(n)} for any diverging h, shown sharp for some maps via return-time recursions, with applications to other weakly mixing systems.