They are talking about Latent Dirichlet Allocation which was made by Blei in 2002 ( http://en.wikipedia.org/wiki/Latent_Dirichlet_allocation )
Here is video by him where he explains the basic model as well timeline-related hacks the article talks about - http://video.google.com/videoplay?docid=3077213787166426672#
You can very easily play with LDA yourself with this toolkit - http://mallet.cs.umass.edu/