Curvature-Dependent Path Concentration in Stochastic Fast-Slow Systems with Noise on the Slow Variable

Yefan Wu

We study stochastic fast-slow systems in which the noise acts exclusively on the slow variable: $dx=f(x,y)dt$, $dy=\epsilon g(x,y)dt+\ddot{I}ƒh(y)d{W}_t$. While the path-c…