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math.PR2021
Stationary stochastic Navier-Stokes on the plane at and above criticality
Giuseppe Cannizzaro, Jacek Kiedrowski
In the present paper, we study the fractional incompressible Stochastic Navier-Stokes equation on , formally defined as \[ \partial_t v = -\tfrac12 (-Δ)^θv - λv \cdot…
math.PR2020
The Brownian Castle
Giuseppe Cannizzaro, Martin Hairer
We introduce a -dimensional temperature-dependent model such that the classical ballistic deposition model is recovered as its zero-temperature limit. Its -temperature…
math.PR2019★ 1 cited
2D Anisotropic KPZ at stationarity: scaling, tightness and non triviality
G. Cannizzaro, D. Erhard, P. Schönbauer
In this work we focus on the two-dimensional anisotropic KPZ (aKPZ) equation, which is formally given by \begin{equation*}\partial_t h =\fracν{2}Δh + λ((\partial_1 h)^2 - (\partial…