I hope that you will forgive the shameless self-promotion, but I recently published a paper in Sociological Science (yay open access!) that examined neighborhood racial change in New York, Los Angeles, Chicago, and Houston metropolitan neighborhoods with an amazingly talented colleague, Siri Warkentien.
We find mixed results related to future racial integration. On the negative side we find that recent estimates overestimate the stability of long-term racial integration. Previous studies don't really examine the pace of neighborhood change, which reveals many integrated neighborhoods are in fact resegregating.
On a more positive note, we find that some neighborhoods really do maintain multiethnic segregation over many decades. We call those neighborhoods "quadrivial neighborhoods," which, in Latin, means four roads coming together. These neighborhoods emerged during the 1990s and seem to make up the fastest-growing category of neighborhood in the past couple of decades (though they are not coming about as fast, nor are they as common as some have estimated).
One of the contributions that I hope we make is showing the geography of neighborhood change. Unlike previous studies, we map where different types of neighborhood changes occur. The model assigns the probability of membership to different types of neighborhood change for each neighborhood (which we defined as Census tracts); we then mapped the results. You can look for yourself on the website which we built for the project. These might be helpful if you are teaching about neighborhood change or segregation, particularly in one of the four metro areas that we studied.
The big take-aways? The black "ghetto" -- that area created by malign and benign neglect of black neighborhoods -- has expanded out into the outlying suburban communities (places outside of New York and Chicago that are akin to Ferguson in St. Louis.). Increasing Latino and Asian segregation looks more like a checkerboard. Pockets of increasing Latino population are surrounded by neighborhoods experiencing less or slower racial change. And finally, those quadrivial neighborhoods? Not in central cities where we focus on the diversity of the creative class. Almost all are in the suburbs or, at the very least, outlying neighborhoods in the city.
The moral, as far as I can tell from out study: racial segregation will continue to be a problem; and if you want to live somewhere really racially diverse, start looking in the 'burbs.