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Strong Log-Concavity of Chernoff's Density

Is the density of Chernoff's distribution - the law of $\operatorname{argmax}_t \{W(t) - t^2\}$ for two-sided Brownian motion $W$ - strongly log-concave, as conjectured by Balabdaoui and Wellner in 2014?

Exact FrontierDelta

Prior state unknownproved

Scope and record

Occurred: Jul 21, 2026

Delta type: SOURCE CLAIM

Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-discovered. Imported under CC BY 4.0.

Canonical aliases: Strong Log-Concavity of Chernoff's Density · Chernoff log-concavity

Confidence: Not scored

Registry verification: unreviewed · preprint · resolved

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Attribution

VibeMathed
registry · event recorded by

Xianyang Zhang
human · human collaborator

Quan Zhou
human · human collaborator

GPT-5.6 Sol
model · ai model contributor · OpenAI

Lineage and corrections

This event attributed to Quan Zhou

This event attributed to Xianyang Zhang

This event attributed to GPT-5.6 Sol

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Strong Log-Concavity of Chernoff's Density — Mathematical Frontier Network