Integration with Respect to Linearly Balanced Measures

In applications that imply an iterated process, often it is necessary to define some object used to study limit properties of the process and in many cases self-similarity is one of these properties. This is expressed as a balancing law that has to be respected at different scales. The self-similarity property defines fractals, and in this chapter we will consider measures with a linear balancing property, thus a noticeable example of fractal measures.