Abstract: We study a type of self-avoiding random motion in Rd. Its properties are dimension dependent. In dimension d = 3 and higher, scale the process diffusively, and in the limit you will see a Brownian motion. In the critical dimension, d = 2, this is no longer the case; in fact, the process scales "super-diffusively", which means it is more difficult to study. Nonetheless, we show that you will still see a Brownian motion at large scales, provided that as we zoom out, we also tune down the strength of self-interaction (so called "weak-coupling"). I'll give an idea as to how we obtain this result. Strangely enough, while this is fundamentally a non-Markovian problem, our techniques are Markovian in nature, and are related to the theory of random walks in random environments. This is joint work with Giuseppe Cannizzaro.