Variational Approach to Interfaces in Random Media: Negative Variances and Replica Symmetry Breaking

We give a new proof of a uniform version of the Yau-Tian-Donaldson conjecture for Fano manifolds with finite automorphism group, and of the semistable case of the conjecture..

For directed polymers in a random environment, we know that in general β 2 < β (c) for the mean field model of the tree [3, 9], and the purpose of this paper is to answer

The object of this work is to give a new method for proving Sinai’s theorem; this method is sufficiently general to be easily adapted to prove a similar local limit theorem in

Ignoring the line tension, y, the ground state conformation of a polymer that has no end attached to a fixed point will be completely curled up between the two neighboring nodes, I

N°1 1IN EXPANSION FOR MANIFOLDS IN RANDOM MEDIA 89 trie third term is trie quenched random potential with a Gaussian distribution and mean zero.. Its averaged

The RG flow and fixed point structure changes significantly upon introducing an energetically favorable, replica asymmetric perturbation Ago > 0 in trie low-temperature phase

In this paper, we propose a novel generative model for the blogosphere based on the random walk process that simultaneously considers both the topological and temporal properties

Provided it is a good approximation to the exact probability distribution, its normalization will be close to one, and correcting for the exact normalization will have