arXiv subjects

Georgiana Chatzigeorgiou

Publications and source records attributed to Georgiana Chatzigeorgiou.

4 recordsLinked to original sources

arXiv2025

The Gaussian free-field as a stream function: asymptotics of effective diffusivity in infra-red cut-off

We analyze the large-time asymptotics of a passive tracer with drift equal to the curl of the Gaussian free field in two dimensions with ultra-violet cut-off at scale unity. We prove that the mean-squared displacement scales like $t \sqrt{\ln t}$, as predicted in the physics literature and recently almost proved by the work of Cannizzaro, Haunschmidt-Sibitz, and Toninelli (2022), which uses mathematical-physics type analysis in Fock space. Our approach involves studying the effective diffusivity $λ_{L}$ of the process with an infra-red cut-off at scale $L$, and is based on techniques from stochastic homogenization.

math.PR↗

arXiv2021

Locality properties of standard homogenization commutator

In the present work we study how the standard homogenization commutator, a random field that plays a central role in the theory of fluctuations, quantitatively decorrelates on large scales.

math.AP↗

arXiv2021

Regularity for Fully Nonlinear Parabolic Equations with Oblique Boundary Data

We obtain up to a flat boundary regularity results in parabolic Hölder spaces for viscosity solutions of fully nonlinear parabolic equations with oblique boundary conditions.

math.AP↗

arXiv2021

Regularity for the fully nonlinear parabolic thin obstacle problem

We prove $C^{1, α}$ regularity (in the parabolic sense) for the viscosity solution of a boundary obstacle problem with a fully nonlinear parabolic equation in the interior. Following the method which was first introduced for the harmonic case by L. Caffarelli in 1979, we extend the results of I. Athanasopoulos (1982) who studied the linear parabolic case and the results of E. Milakis and L. Silvestre (2008) who treated the fully nonlinear elliptic case.

math.AP↗