2 papers
math.PR2025
KPZ-type equation from growth driven by a non-Markovian diffusion
Amir Dembo, Kevin Yang
We study a stochastic PDE model for an evolving set that resembles a continuum version of origin-excited or reinforced random walk…
math.PR2024
A flow-type scaling limit for random growth with memory
Amir Dembo, Kevin Yang
We study a stochastic Laplacian growth model, where a set grows according to a reflecting Brownian motion in stopped at le…