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Busemann processes in directed polymers and in the Kardar-Parisi-Zhang (KPZ) equation
Probability| Speaker: | Timo Seppalainen, University of Wisconsin |
| Location: | Zoom |
| Start time: | Mon, Jun 3 2024, 11:00AM |
This talk describes the Busemann process of the directed polymer model and in particular its properties and applications in the solvable inverse-gamma polymer. Information of this process can be accessed through an intertwining with an auxiliary stochastic process constructed through a version of the geometric Robinson-Schensted-Knuth (gRSK) correspondence. If time permits, we'll also discuss the Busemann process of the KPZ equation and its connection with the one force-one solution principle.