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Some progress on universality of the open KPZ equation
Probability| 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.
Zoom https://ucdavis.zoom.us/j/97521935064?pwd=NmxjQ0tqTnlCVXZiQmVLWFdGQ3JzQT09