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05 04 IM noticia noticiaok Seminário Brasileiro de Probabilidade 1Título: Hydrodynamic equations for the classical Toda lattice
Palestrante: Herbert Spohn, Technical University of Munich.

Data: 07/04/2021
Horário: 13:00h
Local: Transmissão online

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ID da reunião: 958 0581 3232

Resumo: The Toda lattice is one of the most famous integrable system of classical mechanics. For N lattice sites there are N+1 conserved quantities. We are interested in the hydrodynamic scale, which means to start with suitably adjusted random initial data. In my talk I will outline the general structure and the resulting hydrodynamic Euler type equations. An unexpected connection to the repulsive log gas in one dimension is discussed.