ASYMPTOTICS OF THE PARTITION FUNCTION FOR RANDOM

Abstract. We study the partition function from random matrix theory using a well known connection to orthogonal polynomials, and a recently developed ...

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Abstract. We study the partition function from random matrix theory using a well known connection to orthogonal polynomials, and a recently developed Riemann-Hilbert approach to the computation of detailed asymptotics for these orthogonal polynomials

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Jan 10, 2018 - Since ⌊/21⌋ = 4, p(21) = 21 + S2(21) +. S3(21) + S4(21). S2(21) = ∑ i(21 - 3 - 2(i - 1)) = ∑ i(18 - 2(i - 1)) = 18 + 2 · 16 + 3 · 14+. + ... + 8 · 4+9 · 2 ...

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compact since the instantons can move apart in R4. The strategy [24] to calculate the bulk contribution to the L2-index, is to calculate the boundary contribution using a ...... theory way, we can proceed to reap the benefits. First of all, since the