Am Donnerstag, 19. November 2015, um 16:30 Uhr spricht
im Hörsaal A027 über das Thema
Interacting diffusions in the Kardar-Parisi-Zhang universality class
Zusammenfassung: The (one-dimensional) KPZ equation is a stochastic PDE describing the motion of growing fronts, generated when a stable phase is in contact with a metastable one. While the equation has been around since 1986, only recently we start to better understand its mathematical structure. In particular, the KPZ equation is a beautiful example for an integrable stochastic system. There are many other models which, either expected, numerically supported, or proved, have the same statistical properties as the KPZ equation when both are viewed on large space-time scales. I will review the case of interacting diffusions. One can think of them as a collection of one-dimensional diffusions, where diffusion with label j interacts with its left neighbour, j?1, and right neighbour, j+1. In general, these models are expected to be in the KPZ universality class. But for a very particular choice of the interaction the model turns out to be integrable and thus allows for a deeper analysis.
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