Weighted Pluripotential Theory Results of Berman-Boucksom

The main goal of these notes, compiled in 2008-2009, is to present a more-or-less self-contained discussion of some of the recent results and techniques of R. Berman and S. Boucksom in the setting of weighted pluripotential theory. We include some background results on pluripotential theory and weighted pluripotential theory, although many items are stated without proof (references are provided). Although slightly dated and certainly not error-free, we hope someone finds them helpful.