The annealed TAP complexity is the Legendre transform of a Parisi variational functional constrained by zero overlap mass, with a matching lower bound from Kac-Rice computation.
and Taylor, Jonathan E
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.PR 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
For Gaussian fields with variance loss 1-σ(t) ~ t1^β + t2^β + t1^a t2^a near the corner maximum, when a < β/2 the leading contribution to high excursions shifts from the classical rectangle to side-attached or effectively one-dimensional regions, producing new logarithmic and side-dominated asymptot
citing papers explorer
-
The Legendre structure of the TAP complexity for the Ising spin glass
The annealed TAP complexity is the Legendre transform of a Parisi variational functional constrained by zero overlap mass, with a matching lower bound from Kac-Rice computation.
-
Extremes of Gaussian fields with a product term in the variance
For Gaussian fields with variance loss 1-σ(t) ~ t1^β + t2^β + t1^a t2^a near the corner maximum, when a < β/2 the leading contribution to high excursions shifts from the classical rectangle to side-attached or effectively one-dimensional regions, producing new logarithmic and side-dominated asymptot