# On central limit theorems for power variations of the solution to the stochastic heat equation

## TL;DR

This paper proves a central limit theorem for power variations of solutions to the stochastic heat equation observed discretely, extending previous theoretical results in stochastic analysis.

## Contribution

It generalizes existing central limit theorems for power variations of the stochastic heat equation to broader settings.

## Key findings

- Established a central limit theorem for discretely observed solutions
- Extended previous results to more general conditions
- Provided theoretical foundations for statistical analysis of stochastic heat equations

## Abstract

We consider the stochastic heat equation whose solution is observed discretely in space and time. An asymptotic analysis of power variations is presented including the proof of a central limit theorem. It generalizes the theory from arXiv:1710.03519 in several directions.