Some progress on universality of the open KPZ equationProbability
|Speaker:||Kevin Yang, Harvard|
|Location:||2112 MSB; Zoom https://ucdavis.zoom.us/j/97521935064|
|Start time:||Fri, Oct 13 2023, 1:10PM|
The open KPZ equation is a conjecturally universal model for the fluctuating current in many interacting particle systems that are coupled to external reservoirs. Proving this is largely obstructed by a lack of understanding invariant measures. We will discuss some recent and ongoing progress, focusing on exclusion processes with non-simple jumps and nonlinear reservoir interactions. The method is based on local hydrodynamical principles, avoiding the invariant measure problem entirely.