In general I think most of the price appreciation occurs at the tail end of the gentrification process. In other words, a few people buy in, the neighborhood improves, prices creep up, then more people move in and are willing to deal with the lack of retail and crime, and prices creep up some more as older residents sell out. But then when things start to get really nice, the prices take off and people start bidding wars. So you're better off buying into already gentrifying neighborhoods.