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High-dimensional Gaussian fields with isotropic increments seen through spin glasses

   
@article{ECP1994,
	author = {Anton Klimovsky},
	title = {High-dimensional Gaussian fields with isotropic increments seen through spin glasses},
	journal = {Electron. Commun. Probab.},
	fjournal = {Electronic Communications in Probability},
	volume = {17},
	year = {2012},
	keywords = {Gaussian random fields; isotropic increments; random energy model; hierarchical replica symmetry breaking; Parisi Ansatz},
	abstract = {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.},
	pages = {no. 17, 1-14},
	issn = {1083-589X},
	doi = {10.1214/ECP.v17-1994},    
        url = {http://ecp.ejpecp.org/article/view/1994}}