Wegner estimate for sparse and other generalized alloy type potentials
Wegner estimate for sparse and other generalized alloy type potentials
复制标题
稀疏和其他广义合金类型势的韦格纳估计
DOI：
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发表时间：
2002
期刊：
影响因子：
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通讯作者：
I. Veselić
中科院分区：
文献类型：
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作者：
W. Kirsch;I. Veselić
我们证明了广义合金型模型在负能量下的Wegner估计（定理8和13）。假设单点电位为非正。随机势不需要相对于从晶格的平移是静止的。实际上，单个单点势所附着的点集只需要满足一定的密度条件。耦合常数的分布被假定为只有在我们证明Wegner估计的能量区域中才有界密度。
We prove a Wegner estimate for generalized alloy type models at negative energies (Theorems 8 and 13). The single site potential is assumed to be non-positive. The random potential does not need to be stationary with respect to translations from a lattice. Actually, the set of points to which the individual single site potentials are attached, needs only to satisfy a certain density condition. The distribution of the coupling constants is assumed to have a bounded density only in the energy region where we prove the Wegner estimate.