2 problems

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The near-extremal level-set profile conjecture for the DGFF
Near-extremal-profile conjecture. There is a constant $c>0$ such that
Conjectureopendiscrete-gaussian-free-field liouville-quantum-gravity logarithmic-correlationsarXiv posted 2 days ago
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Fyodorov–Le Doussal–Rosso conjecture on multifractality and logarithmic correlations
Let a random field satisfy a multifractal formalism, and suppose that its disorder-induced multifractality is subject to natural conditions. Fyodorov–Le Doussal–Rosso conjecture. T…
Conjectureopenlogarithmic-correlations multifractality random-fieldsarXiv posted 2 days ago

The near-extremal level-set profile conjecture for the DGFF