Periodic homogenisation for two dimensional generalised parabolic Anderson model

Key Points

• Effects of periodic homogenisation reveal new dynamics in the generalised parabolic Anderson model, enhancing understanding of spatial randomness.
• Key outcomes from this analysis indicate shifts in behaviour due to varying periodic structures within the model framework.
• Mathematical analysis focused on the interplay between randomness and diffusion in a two-dimensional setting.
• Findings support potential applications in complex systems where periodicity plays a critical role, indicating future research directions.