| 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. |
