连通自相似集上行走维数的Lipschitz不变性
Lipschitz invariance of walk dimension on connected self-similar sets
摘要：
行走维数是分形分析中的一个重要概念。本文证明了具有Alfors正则测度的连通紧集的行走维数在Lipschitz变换下是不变的。作为应用，我们证明了某些广义Sierpienski垫片不是Lipschitz等价的.
英文摘要：
Walk dimension is an important conception in analysis of fractals. In this paper we prove that the walk dimension of a connected compact set possessing an Alfors regular measure is an invariant under Lipschitz transforms. As an application, we show some generalized Sierpiński gaskets are not Lipschitz equivalent.
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