3 papers
math.AP2025
An inductive approach to stochastic estimates for the -equation with correlated coefficient fields
Nicolas Clozeau
We develop an inductive approach to obtain stochastic estimates for singular SPDEs when the coefficient field is correlated with the driving noise. We implement our method, in the…
math.AP2025
Renormalisation of Singular SPDEs with Correlated Coefficients
Nicolas Clozeau, Harprit Singh
We show local well-posedness of the g-PAM and the -equation for on the two-dimensional torus when the coefficient field is random and correlated to the driving…
math.AP2021
Optimal decay of the parabolic semigroup in stochastic homogenization for correlated coefficient fields
Nicolas Clozeau
We study the large scale behavior of elliptic systems with stationary random coefficient that have only slowly decaying correlations. To this aim we analyze the so-called corrector…