There are mainly two approaches to the multifractal analysis of measures. The first one,which is used in applications and in studying problems arising from dynamical systems,uses a hierarchy of boxes. The second one,w...There are mainly two approaches to the multifractal analysis of measures. The first one,which is used in applications and in studying problems arising from dynamical systems,uses a hierarchy of boxes. The second one,which is more satisfactory from the viewpoint of geometric measure theory,uses more intrinsic concepts. This article is an account of a work by J.Barral,F.Ben Nasr,and J.Peyriére [3] which provides a bridge between these two theories.展开更多
文摘There are mainly two approaches to the multifractal analysis of measures. The first one,which is used in applications and in studying problems arising from dynamical systems,uses a hierarchy of boxes. The second one,which is more satisfactory from the viewpoint of geometric measure theory,uses more intrinsic concepts. This article is an account of a work by J.Barral,F.Ben Nasr,and J.Peyriére [3] which provides a bridge between these two theories.
