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Žiga Krajnik: (Integrable) G-invariant Matrix Models in Discrete Space-Time

Date: 5. 5. 2020
Source: Mathematical physics seminar
Thursday 7.5.2020, at 14:00h, via Zoom. Details and meeting ID available on the seminar homepage https://chaos.fmf.uni-lj.si/.
We define and study an integrable G-invariant dynamics of a field subject to a nonlinear constraint on a 1+1 dimensional discrete space-time lattice. The model allows for efficient numerical simulations, which suggest superdiffusion and Kardar-Parisi-Zhang physics in the entire family of models (arXiv:2003.05957). Further, I will present some recent results on extending the model onto other symmetric spaces and more general symmetry groups. Lastly I will discuss a recent surprising observation of conic sections in the correlation tensor of (non)-integrable G-invariant models of Landau-Lifshitz type.