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A quantitative central limit theorem for Poisson horospheres in high dimensions - MaRDI portal

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A quantitative central limit theorem for Poisson horospheres in high dimensions

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Publication:6509438

arXiv2303.17827MaRDI QIDQ6509438

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Abstract: Consider a stationary Poisson process of horospheres in a d-dimensional hyperbolic space. In the focus of this note is the total surface area these random horospheres induce in a sequence of balls of growing radius R. The main result is a quantitative, non-standard central limit theorem for these random variables as the radius R of the balls and the space dimension d tend to infinity simultaneously.





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