Continuity of integrated density of states — independent randomness
Continuity of integrated density of states — independent randomness
复制标题
积分态密度的连续性——独立随机性
DOI：
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发表时间：
2006
期刊：
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通讯作者：
M. Krishna
中科院分区：
文献类型：
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作者：
M. Krishna
本文讨论了基于单点分布的随机模型的积分态密度的连续性。我们的结果对具有任意自由部件的独立随机性模型是有效的。特别地，对于ν维晶格上的Anderson模型(具有平稳的、增长的、衰减的随机性)，无论有无周期和概周期背景，我们证明了如果单点分布是一致α-Hölder连续的，0<；α≤1，则态密度也是一致α-Hölder连续的。
In this paper we discuss the continuity properties of the integrated density of states for random models based on that of the single site distribution. Our results are valid for models with independent randomness with arbitrary free parts. In particular in the case of the Anderson type models (with stationary, growing, decaying randomness) on the ν dimensional lattice, with or without periodic and almost periodic backgrounds, we show that if the single site distribution is uniformly α-Hölder continuous, 0 < α ≤ 1, then the density of states is also uniformly α-Hölder continuous.