Strichartz-Tse -Integrability on the Sierpinski Gasket
Energy measures of any two nonconstant harmonic functions on the standard Sierpinski gasket are mutually absolutely continuous. Strichartz and Tse reported numerical evidence that the Radon-Nikodym densities are -integrable for . That range is confirmed: the associated quantities are uniformly bounded for arbitrary ordered pairs of nonconstant harmonic functions.
- Result
- Proved
- Status
- Resolved
- AI contribution
- AI-assisted
- Method
- Argument
- Field
- Fractal analysis
- Posed by
- Robert S. Strichartz, Samuel Tse
- Year posed
- —
- Years open
- —
- Solved
- 2026-07-24
- Model
- GPT-5.6
- Vendor
- OpenAI
- Collaborators
- Konstantinos Tsougkas
- Verification
- Unreviewed
- Publication
- Preprint
- Significance
- 10 / 100
- Disclosed cost
- —
- Wikipedia
- No dedicated article
What the AI did
The acknowledgement says the work was developed with assistance from the model, used to explore ideas and support aspects of the technical development and the writing, with all results and arguments independently verified by the author.
Verification
Single-author arXiv preprint; not yet peer-reviewed.
Source
arXiv:2607.22784 - Lp-Integrability of Radon-Nikodym Densities Between Harmonic Energy Measures