Source authenticated
Log-Convexity of Fisher Information Along Heat Flow
For every smooth positive density $f$ on $\mathbb{R}^d$, must the Fisher information $t \mapsto I(f * \gamma_t)$ be log-convex along the heat flow?
Exact FrontierDelta
Prior state unknown→disproved
Scope and record
Occurred: May 18, 2026
Delta type: SOURCE CLAIM
Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-discovered. Imported under CC BY 4.0.
Canonical aliases: Log-Convexity of Fisher Information Along Heat Flow · Fisher log-convexity
Confidence: Not scored
Registry verification: unreviewed · preprint · resolved
Lineage and corrections
This event attributed to GPT-5.5 Pro