In the post-inflationary scenario, axion dark matter is produced with O(1) inhomogeneities at very small scales. These collapse into axion miniclusters around matter-radiation equality, which are very small, very dense and have potentially very intersting phenomenology. I will describe our efforts to describe in detail the early seeds of these miniclusters and their collapse, morphology and distribution. I will dwell on several interesting issues like the cosmic string issue, domain walls, the formation of axitons and axion-stars and a plethora of related phenomena, which appear in this exciting scenario.
