3 problems

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BCLW's microscopic overlap distribution conjecture for the external field
Consider the overlap with the external field in the spherical spin glass model at microscopic scaling, as in the formula discussed by BCLW. BCLW's conjecture. The formula holds wit…
Conjectureopenoverlap random-matrices spherical-spin-glassarXiv posted 2 days ago
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Parisi measure uniqueness and overlap convergence conjecture
Let $cmu_P$ be a Parisi measure for the mixed even-spin model, defined as a weak limit of probability measures satisfying condition $cmathrm{MIN}(cvarepsilon_n)$ for some sequence…
Conjectureopenoverlap parisi-formula spin-glassesarXiv posted 2 days ago
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Chaos conjecture for mixed even-spin models
Consider two mixed even-spin models with possibly different external parameters, and sample a spin configuration independently from each model's Gibbs measure. Under the coupled Gi…
Conjectureopengibbs-measures overlap spin-glassesarXiv posted 2 days ago

BCLW's microscopic overlap distribution conjecture for the external field