High-dimensional Gaussian fields with isotropic increments seen through   spin glasses
  We study the free energy of a particle in (arbitrary) high-dimensional Gaussian random potentials with isotropic increments. We prove a computable saddle-point variational representation in terms of a Parisi-type functional for the free energy in the infinite-dimensional limit. The proofs are based on the techniques developed in the course of the rigorous analysis of the Sherrington-Kirkpatrick model with vector spins. 
Anton Klimovsky
math.PR cond-mat.dis-nn math-ph math.MP