Abstract：In this talk, I will discuss recent progress in mean-field spin glass models. Specifically, I will present a method to prove that the spectral gap of the Dirichlet form associated with Glauber dynamics is of order one at sufficiently high temperatures. Furthermore, I will talk about estimates on two-point functions for the SK model under high-temperature conditions.About the Speaker:C...
AbstractA classical theorem due to Birkhoff states that on a real or a complex symplectic manifold a function near its Morse critical point can be transformed by formal symplectomorphism into a power series in the pairwise sums of squares of the local coordinates, called its "Birkhoff normal form". A result of Sjöstrand says that, given certain conditions, one can compute the eigenvalues of the...
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