J. Yi

most citedFractal Geometry of the Valleys of the Parabolic Anderson Equation

3 citations · 3 across the 2 of their papers we have counts for

collaborators

3 papers

math.PR2021★ 3 cited

Fractal Geometry of the Valleys of the Parabolic Anderson Equation

Promit Ghosal, Jaeyun Yi

We study the macroscopic fractal properties of the deep valleys of the solution of the $(1 + 1)$ -dimensional parabolic Anderson equation $${\partial \over \partial t}u(t,x) =\frac{1}…

math.PR2021

Macroscopic multi-fractality of Gaussian random fields and linear SPDEs with colored noise

Jaeyun Yi

We consider the linear stochastic heat and wave equations with generalized Gaussian noise that is white in time and spatially correlated. Under the assumption that the homogeneous…

math.PR2020

Limit theorems for time-dependent averages of nonlinear stochastic heat equations

Kunwoo Kim, Jaeyun Yi

We study limit theorems for time-dependent averages of the form $X_{t} := \frac{1}{2 L ( t )} \int_{- L (t)}^{L (t)} u (t, x) d x$ , as $t \to \infty$ , where $L (t) = exp (λ t)$ and $u (t, x)$ is th…