Some Results On Hanoi Attractor

The thesis mainly deals with Hanoi attractor. Firstly, we introduce the definition and construction of the Hanoi attractor, then we deal with the equidistant Hanoi attractor K, which is a sepcial case of the Hanoi attractor. On K, we define a local regular Dirichlete form After that, we prove the Morrey-Sobolev inequality and give a construction of volume doubling measure μ on K.