We consider precise deviations for discrete ensembles. For β = 2 case, we first establish an asymptotic formula of the Christoffel–Darboux kernel of the discrete orthogonal polynomials on an infinite regular lattice with weight e(-NV(x)). Then we use the asymptotic formula to get the precise deviations of the extreme value for corresponding ensemble.
机构:
School of Mathematical Science, Capital Normal UniversitySchool of Mathematical Science, Capital Normal University
雷良贞
马宇韬
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机构:
School of Mathematical Sciences & Laboratory of Mathematics and Complex Systems of Ministry of Education, Beijing Normal UniversitySchool of Mathematical Science, Capital Normal University
机构:
Hubei Univ arts & Sci, Sch Math & Comp Sci, Xiangyang 441053, Peoples R ChinaHubei Univ arts & Sci, Sch Math & Comp Sci, Xiangyang 441053, Peoples R China