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• W2087680667 abstract "We investigate the asymptotic behavior of the Selberg-like integral $$ frac1{N!}int_{[0,1]^N}x_1^pprod_{i<j}(x_i-x_j)^2prod_ix_i^{a-1}(1-x_i)^{b-1}dx_i$$, as $Ntoinfty$ for different scalings of the parameters $a$ and $b$ with $N$. Integrals of this type arise in the random matrix theory of electronic scattering in chaotic cavities supporting $N$ channels in the two attached leads. Making use of Newton's interpolation formula, we show that an asymptotic limit exists and we compute it explicitly." @default.
• W2087680667 created "2016-06-24" @default.
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• W2087680667 date "2010-12-01" @default.
• W2087680667 modified "2023-09-30" @default.
• W2087680667 title "Asymptotics of Selberg-like integrals: The unitary case and Newton's interpolation formula" @default.
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• W2087680667 doi "https://doi.org/10.1063/1.3514535" @default.
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