Speaker: Prof. Yuzhao Wang (University of Birmingham)
Time: 10:00-11:00 January 15, 2024 (Monday)
Place: MCM110
Title: Gibbs measures with genreal traps
Abstract: We will discuss some of the recent progress on the Gibbs measures construction associated with the nonlinear Schrodinger equation with trapping potentials. We identify sharp conditions on normalizability of these measures. ln particular, in the case of subharmonic potentials, we observe a novel critical nonlinearity (below the usual mass-critical exponent) for which the Gibbs measures exhibit a phase transition.
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