|Location:||MSRI: Simons Auditorium, Online/Virtual|
A Journey From Classical Integrability To The Large Deviations Of The Kardar-Parisi-Zhang Equation
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In this talk, I will revisit the problem of the large deviations of the Kardar-Parisi-Zhang (KPZ) equation in one dimension at short time by introducing a novel approach which combines field theoretical, probabilistic and integrable techniques. My goal will be to expand the program of the weak noise theory, which maps the large deviations onto a non-linear hydrodynamic problem, and to unveil its complete solvability through a connection to the integrability of the Zakharov-Shabat system. I will show that this approach paves the path to understand the large deviations for general initial geometry. This is based on the work Phys. Rev. Lett. 127, 064101, [arXiv:2103.17215] with Pierre Le Doussal.
A Journey from Classical Integrability to the Large Deviations of the Kardar-Parisi-Zhang Equation