Referee responses and bibliography additions - #478
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- Add referee answer file (Report 69) with our responses - Bibliography: add Revuz–Yor, Ledoux–Talagrand, Marion (Ionescu–Tulcea), Douglas et al. (QFT) - Add "An alternative route" subsection (Lévy's construction) and a contributor list; assorted corrections and inline reviewer notes Co-Authored-By: Claude Opus 4.8 (1M context) <noreply@anthropic.com>
RemyDegenne
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Jun 23, 2026
EtienneC30
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Jul 31, 2026
EtienneC30
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Jul 31, 2026
| \begin{itemize} | ||
| \item $B$ has continuous paths, | ||
| \item $B_0 = 0$ almost surely, | ||
| \item $B_0 = 0$ almost surely, {\color{blue} Can't you even guarantee that $B_0 = 0$ everywhere, by taking $x_0 = 0$ in the construction of $Y_t$ on Page 32?} |
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Probably we could but the existence theorem is for a general space where there is not necessarily a 0 so it would be weird to make this a special case in the construction.
EtienneC30
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Jul 31, 2026
…into pfaffelh_referee-revisions
- Define covering number as minimal cardinality of a finite cover (or +inf), finite iff totally bounded; drop wrong bounded-diameter claim - Fix pair reduction application: n = ceil(log2 |C_m|), and property 2 holds for pairs in K, not J^2 - Fill in answers for Report 6a, sections 4.4.3/4.4.4 Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
- Answer for the B_0 = 0 comment: x_0 = 0 alone is not enough, but enlarging the exceptional null set would give B_0 = 0 everywhere; text left as is - Remove the blue referee comment from main.tex - Grammar/typo fixes in the answers, blue color for the Prop 5.3 answer - gitignore referee reports, answers PDF and .claude/ Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
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Revisions to the paper following the referee reports.
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BM_paper/Answers_Report_69.texwith our responses to the reports.biblio.bib): added Revuz–Yor, Ledoux–Talagrand, Marion (Ionescu–Tulcea, arXiv:2506.18616), Douglas et al. (QFT, arXiv:2603.15770).main.tex:(X_t,X_t) → (X_s,X_t),Y_0 → Y_t).🤖 Generated with Claude Code