论文标题
C $β$ e合奏的极端景观
The extremal landscape for the C$β$E ensemble
论文作者
论文摘要
我们考虑了C $β$ e合奏的特征多项式的对数的极端。我们证明了居中的最大值（实际和虚构部分）朝着牙龈变量和另一个独立变量的总和的分布分布的融合，我们将其表征为“衍生品Martingale”的总质量。我们还提供了极端点附近景观的描述。
We consider the extremes of the logarithm of the characteristic polynomial of matrices from the C$β$E ensemble. We prove convergence in distribution of the centered maxima (of the real and imaginary parts) towards the sum of a Gumbel variable and another independent variable, which we characterize as the total mass of a "derivative martingale". We also provide a description of the landscape near extrema points.
