Subadditive Theorems in Time-Dependent Environments

TL;DR

This paper extends Kingman's subadditive ergodic theorem to time-dependent settings, enabling analysis of stochastic processes and PDE solutions in environments that change over time.

Contribution

It introduces time-dependent subadditive theorems, broadening the applicability of ergodic theory to dynamic environments.

Findings

Proved time-dependent versions of Kingman's subadditive ergodic theorem.

Applicable to stochastic processes in evolving environments.

Useful for analyzing PDE propagation in time-varying media.

Abstract

We prove time-dependent versions of Kingman's subadditive ergodic theorem, which can be used to study stochastic processes as well as propagation of solutions to PDE in time-dependent environments.