Date
Tue, 14 Jul 2020
Time
15:30 - 16:30
Speaker
Tamara Grava
Organisation
University of Bristol
We consider the Fermi-Pasta-Ulam-Tsingou (FPUT) chain composed by N particles  on the line  and endowed the phase space with the Gibbs measure at temperature 1/beta. We prove that the   integrals of motion of the Toda chain  are adiabatic invariants for the FPTU chain for times of order beta. Further we prove that certain combination of the harmonic energies are adiabatic invariants  of the FPUT chain  on the same time scale, while they are adiabatic invariants for Toda chain for all times. Joint work with A. Maspero, G. Mazzuca and A. Ponno.
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