Our favorite demographer Joel Kotkin checks in with an article for New Geography concerning suburbanization. In a word, he finds it is continuing.
Kotkin uses a more sophisticated methodology which looks at neighborhood density, and finds that Americans continue to move from more dense neighborhoods to less dense neighborhoods, regardless of whether or not they are located within the limits of the core city.
There is, however, growth within the most dense urban neighborhoods, reflecting some modest gentrification of the highest density urban settings. Kotkin's point, I believe, is that this "reurbanization" has been over-emphasized in the literature.
*The French do not, along with other Europeans.
