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A Random Matrix Model for Elliptic Curve $L$-Functions of Finite Conductor
Elliptic Curves Low Lying Zeros n-Level Statistics Random Matrix Theory Jacobi Ensembles Characteristic Polynomial
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2011/9/19
Abstract: We propose a random matrix model for families of elliptic curve L-functions of finite conductor. A repulsion of their critical zeros away from the center of the critical strip was observed b...
Perturbation approach to multifractal dimensions for certain critical random matrix ensembles
multifractal dimensions Perturbation random matrix ensembles
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2011/7/6
Fractal dimensions of eigenfunctions for various critical random matrix ensembles are investigated in perturbation series in the regimes of strong and weak multifractality. In both regimes we obtain e...