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Some progress on universality of the open KPZ equation


Speaker: Kevin Yang, Harvard
Location: 2112 MSB; Zoom
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.