Lipschitz invariance of walk dimension on connected self-similar sets
  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 Sierpi\'nski gaskets are not Lipschitz equivalent. 
Hui Rao, Qingsong Gu
math.DS