Suppose we have a probability distribution that is supported on the fat Cantor set. For details on the fat Cantor sets see here.
A have a few questions about these distributions.
- Is there a good reference that treats these distributions in a systematic way.
- Does such a distribution have a density?
I am very fascinated by this sets would really like to start reading about them. However, need a good starting place. I am particularly, interested in applications to probability theory.