Chafai-Dadoun-Youssef Questions on Logarithmic Energy Monotonicity
Chafai, Dadoun and Youssef asked whether the quadratically penalised logarithmic energy of mean empirical spectral distributions is monotone in the dimension, for Wigner matrices and for matrices with i.i.d. entries. Neither holds: a finite-energy Wigner counterexample and a one-parameter family of Gaussian-regularised Bernoulli entry laws answer both questions negatively.
Exact FrontierDelta
Scope and record
Occurred: Jul 27, 2026
Delta type: SOURCE CLAIM
Assumptions: VibeMathed verification: unreviewed. Publication: preprint. AI contribution: ai-co-developed. Imported under CC BY 4.0.
Canonical aliases: Chafai-Dadoun-Youssef Questions on Logarithmic Energy Monotonicity · Log-energy monotonicity
Confidence: Not scored
Registry verification: unreviewed · preprint · resolved
Attribution
VibeMathed
registry · event recorded by
Theodoros Assiotis
human · human collaborator
ChatGPT Pro 5.5
model · ai model contributor · OpenAI
ChatGPT 5.6 Sol Ultra
model · ai model contributor · OpenAI
Lineage and corrections
This event attributed to Theodoros Assiotis
This event attributed to ChatGPT 5.6 Sol Ultra
This event attributed to ChatGPT Pro 5.5