Abstract
For the fermion point process on the whole complex plane associated with the exponential kernel \(e^{z\bar{w}}\), we show the central limit theorem for the random variable ξ(D r , the number of points inside the ball D r of radius r, as r → ∞ and we establish the large deviation principle for the random variables {r −2ξ (D r ), r > 0}.
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Shirai, T. Large Deviations for the Fermion Point Process Associated with the Exponential Kernel. J Stat Phys 123, 615–629 (2006). https://doi.org/10.1007/s10955-006-9026-x
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DOI: https://doi.org/10.1007/s10955-006-9026-x