12 citations · 26 across the 15 of their papers we have counts for
Showing 2020Show all
3 papers · 1 filter
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…
cond-mat.stat-mech2020★ 1 cited
Logarithmic superdiffusivity of the 2-dimensional anisotropic KPZ equation
Giuseppe Cannizzaro, Dirk Erhard, Fabio Toninelli
We study an anisotropic variant of the two-dimensional Kardar-Parisi-Zhang equation, that is relevant to describe growth of vicinal surfaces and has Gaussian, logarithmically rough…
math.PR2020★ 9 cited
The stationary AKPZ equation: logarithmic superdiffusivity
Giuseppe Cannizzaro, Dirk Erhard, Fabio Toninelli
We study the two-dimensional Anisotropic KPZ equation (AKPZ) formally given by \begin{equation*} \partial_t H=\frac12ΔH+λ((\partial_1 H)^2-(\partial_2 H)^2)+ξ\,, \end{equation*} wh…