2002The Annals of ProbabilityOpen access

Gaussian Limit for Determinantal Random Point Fields

Alexander Borisovich Soshnikov

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Abstract

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.

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OpenAlex reports 155 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

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)

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