Min Chen

activity

20142017

most citedPerturbed Hankel determinant, correlation functions and Painlevé equations

17 citations · 17 across the 5 of their papers we have counts for

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Showing 2017Show all

3 papers · 1 filter

nlin.SI2017

Hankel determinants for a perturbed Laguerre weight and Painleve V equation

Min Chen, Yang Chen, Engui Fan

In this paper, we study Hankel determinants generated from a perturbed Laguerre weight function, Under the double scaling scheme, we give the uniform asymptotic approximations of H…

math-ph2017

Single-use MIMO system, Painlevé transcendents and double scaling

Hongmei Chen, Min Chen, Gordon Blower +1

In this paper we study a particular Painlevé V (denoted $P_{V}$ ) that arises from Multi-Input-Multi-Output (MIMO) wireless communication systems. Such a $P_{V}$ appears through…

math-ph2017

Critical edge behavior in the perturbed Laguerre ensemble and the Painleve V transcendent

Min Chen, Yang Chen, Engui Fan

In this paper, we consider the perturbed Laguerre unitary ensemble described by the weight function of $w (x, t) = (x + t)^{λ} x^{α} e^{- x}$ with $x \geq 0, t > 0, α > 0, α + λ + 1 > 0.$ The Deif…