Large deviation principle for a stochastic heat equation with spatially correlated noise.
The magnetization at high temperature for a p-spin interaction model with external field
This paper is devoted to a detailed and rigorous study of the magnetization at high temperature for a p-spin interaction model with external field, generalizing the Sherrington-Kirkpatrick model. In particular, we prove that (the mean of a spin with respect to the Gibbs measure) converges to an explicitly given random variable, and that ⟨σ₁⟩,...,⟨σₙ⟩ are asymptotically independent.
Taylor expansion of the density in a stochastic heat equation.
Density estimates on a parabolic SPDE.
Asymptotic behavior of the magnetization for the perceptron model
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