2405.15212
PACKING TOPOLOGICAL PRESSURE FOR AMENABLE GROUP ACTIONS
Ziqing Ding, Ercai Chen, Xiaoyao Zhou
correctmedium confidence
- Category
- Not specified
- Journal tier
- Strong Field
- Processed
- Sep 28, 2025, 12:56 AM
- arXiv Links
- Abstract ↗PDF ↗
Audit review
The paper proves the variational principle for amenable packing topological pressure with a Billingsley-type inequality and a Frostman-style construction on analytic sets; the candidate’s solution follows the same two-step scheme and matches the paper’s key lemmas and hypotheses, differing only in presentation details.
Referee report (LaTeX)
\textbf{Recommendation:} minor revisions
\textbf{Journal Tier:} strong field
\textbf{Justification:}
The paper cleanly establishes a natural variational principle for packing pressure under amenable group actions, generalizing earlier results and aligning with standard techniques in the area. The arguments are correct and complete. Minor enhancements in exposition (especially the upper-bound construction) would improve readability and utility.