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math.PR2025
Optimal local central limit theorems on Wiener chaos
Masahisa Ebina, Ivan Nourdin, Giovanni Peccati
This paper investigates a local central limit theorem for a normalized sequence of random variables belonging to a fixed order Wiener chaos and converging to the standard normal di…
math.PR2024
Large deviations for a spatial average of stochastic heat and wave equations
Masahisa Ebina
We consider the one-dimensional stochastic heat and wave equations driven by Gaussian noises with constant initial conditions. We study the spatial average of the solutions on an i…
math.PR2023
Central limit theorems for stochastic wave equations in high dimensions
Masahisa Ebina
We consider stochastic wave equations in spatial dimensions . We assume that the driving noise is given by a Gaussian noise that is white in time and has some spatial cor…