Sharp Asymptotics for Toeplitz Determinants and Convergence Towards the Gaussian Free Field on Riemann Surfaces

DOI10.1093/imrn/rnr229zbMath1262.60043arXiv1106.4902OpenAlexW2056768327MaRDI QIDQ3143926

Robert J. Berman

Publication date: 6 December 2012

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.4902

zbMATH Keywords

Bergman kernelToeplitzGaussian free fieldMoser-Trudinger type inequalitydeterminantal random point processholomorphic line boundlestrong Szegő-type theorem

Mathematics Subject Classification ID

Large deviations (60F10) Local differential geometry of Hermitian and Kählerian structures (53B35) Point processes (e.g., Poisson, Cox, Hawkes processes) (60G55) Integral representations; canonical kernels (Szeg?, Bergman, etc.) (32A25)

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