In the zero-temperature Edwards-Anderson model, the spectral measure of the two-point spin correlation assigns exponentially small mass to all edge sets whose size is at most (1+ε) times the distance, so the spectral sample is strictly larger than a shortest path with high probability.
A relation between disorder chaos and incongruent states in spin glasses on z\^ d z d
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.PR 1years
2025 1verdicts
REJECT 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
Spectral properties of the zero temperature Edwards-Anderson model
In the zero-temperature Edwards-Anderson model, the spectral measure of the two-point spin correlation assigns exponentially small mass to all edge sets whose size is at most (1+ε) times the distance, so the spectral sample is strictly larger than a shortest path with high probability.