Gaussian Limit for Determinantal Random Point Fields
Alexander Borisovich Soshnikov
Abstract
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Alexander Borisovich Soshnikov
Abstract
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We prove that, under fairly general conditions, a properly rescaled determinantal random point field converges to a generalized Gaussian random process.
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We prove that, under fairly general conditions, a properly rescaled determinantal random point field converges to a generalized Gaussian random process.
Key concepts: Mathematics, Determinantal point process, Point process, Random field, Gaussian random field, Gaussian, Gaussian free field, Limit (mathematics)