2 papers
math.PR2025
Spatial fluctuation for stochastic heat equation with Hölder coefficients
Carl Mueller, Fei Pu
In this paper, we establish associativity, spatial ergodicity and a central limit theorem for certain nonnegative solutions to the stochastic heat equation $\partial_t u=\frac12\pa…
math.PR2025
Macroscopic Hausdorff dimension of the level sets of the Airy processes
Sudeshna Bhattacharjee, Fei Pu
We study the Macroscopic Hausdorff dimension of the upper and lower level sets of the Airy processes, following the general method developed in Khoshnevisan et al. \cite{KKX17}. Fo…