Yuqiu Zhao

activity

20132025

most citedCritical edge behavior and the Bessel to Airy transition in the singularly perturbed Laguerre unitary ensemble

53 citations · 108 across the 26 of their papers we have counts for

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Showing 2013Show all

3 papers · 1 filter

math.CA2013★ 7 cited

Asymptotics of Landau constants with optimal error bounds

Yutian Li, Saiyu Liu, Shuaixia Xu +1

We study the asymptotic expansion for the Landau constants $G_{n}$ $π G_{n} \sim ln N + γ + 4 ln 2 + s = 1 \sum \infty \frac{β _{2 s}}{N ^{2 s}}, n \to \infty,$ where $N = n + 3/4$ , $…

math-ph2013★ 53 cited

Critical edge behavior and the Bessel to Airy transition in the singularly perturbed Laguerre unitary ensemble

Shuai-Xia Xu, Dan Dai, Yu-Qiu Zhao

In this paper, we study the singularly perturbed Laguerre unitary ensemble $\frac{1}{Z _{n}} (det M)^{α} e^{- tr V_{t} (M)} d M, α > 0,$ with $V_{t} (x) = x + t / x$ , $x\in (0…

math.CA2013

Uniform Treatment of Darboux's Method and the Heisenberg Polynomials

Sai-Yu Liu, R. Wong, Yu-Qiu Zhao

We show that the set of Heisenberg polynomials furnishes a simple non-trivial example in the uniform treatment of Darboux's method.