论文标题
二维白噪声的安德森汉密尔顿状态的综合密度
Integrated density of states of the Anderson Hamiltonian with two-dimensional white noise
论文作者
论文摘要
我们通过证明与盒子上与安德森·汉密尔顿（Anderson Hamiltonians）相关的Dirichlet Eigenvalue计数措施的融合，构建了安德森·哈密顿（Anderson Hamiltonian）的综合状态密度，并用二维白噪声构建了二维白噪声。我们还确定了状态综合密度的左尾的对数渐近分数。此外，我们将结果应用于平面抛物线模型的瞬间爆炸。
We construct the integrated density of states of the Anderson Hamiltonian with two-dimensional white noise by proving the convergence of the Dirichlet eigenvalue counting measures associated with the Anderson Hamiltonians on the boxes. We also determine the logarithmic asymptotics of the left tail of the integrated density of states. Furthermore, we apply our result to a moment explosion of the parabolic Anderson model in the plane.
