On the decay rates of determinantal correlation functionals

On the decay rates of determinantal correlation functionals

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Simone Warzel, TU - Munich
Jadwin Hall 343

Determinantal correlation functionals arise as the correlation functions of non-interacting fermions, and also in other determinantal point processes, such as the eigenvalues of random matrices, and the zeros of random polynomials. It is then of interest to know what implication does fast decay of the two-point function have on the decay of the n-point functional. In this talk I will explain how in one-dimensional lattice models exponential decay of the two-point function implies exponential decay of the determinant. The decay is in the symmetrized maximal distance of the particle configurations, and the bounds presented will be uniform in the number of particles. (Joint work with R. Sims).