For high-dimensional superpositions of random plane waves, the authors derive annealed complexity formulas and a Parisi-type variational principle for the mean ground-state energy, with replica-symmetric, one-step, and full replica-symmetry-broken phases.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
cond-mat.dis-nn 1years
2024 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Superposition of plane waves in high spatial dimensions: from landscape complexity to the deepest minimum value
For high-dimensional superpositions of random plane waves, the authors derive annealed complexity formulas and a Parisi-type variational principle for the mean ground-state energy, with replica-symmetric, one-step, and full replica-symmetry-broken phases.