The main issue is the lack of rigor in defining the coverage ball number N(ϵ) for modal paths.
"Are you going to deduct two points? Look here, if a part of the density function ρM(x) of the modal path tends to become discontinuous in certain local regions, then the calculation of N(ϵ) becomes ambiguous due to path segmentation.
Especially if you need to impose further constraints on the scale of ϵ; otherwise, under limits, N(ϵ) may not converge, or there may be cases of multiple coverages, thus preventing the proof of fractal dimension from fully closing."
Qiao Yu casually pointed out the problem in Chen Zhuoyang's proof.
Chen Zhuoyang glanced at it and replied apologetically, "Indeed, I got a bit anxious. If it were a formal exam..."
Halfway through his sentence, Chen Zhuoyang suddenly realized that he would likely be more anxious during a formal exam, and was momentarily speechless.
