I submitted a resume and was contacted roughly a week later. After the first phone screen, I had three calls with members of the group I would be working with. Most of the questions were about the research area and suitability for the role. Being able to demonstrate breadth as well as depth was important.
The final process was the group interview. The group interview consists of writing a short research note, then a group of analysts ask you about it. The questions can get pretty difficult.