论文标题

随机稳定性操作员最大的特征值的ID和渐近性具有衰减的潜力

The IDS and Asymptotic of the Largest Eigenvalue of Random Schrödinger Operators with Decaying Random Potential

论文作者

Dolai, Dhriti Ranjan

论文摘要

在这项工作中,我们为Schrödinger操作员的状态集成密度,其随机电势作用于$ \ ell^2(\ Mathbb {z}^d)$。我们还研究了其有限体积近似值的最大和最小特征值的渐近线

In this work we obtain the integrated density of states for the Schrödinger operators with decaying random potentials acting on $\ell^2(\mathbb{Z}^d)$. We also study the asymptotic of the largest and smallest eigenvalues of its finite volume approximation

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