  This survey is an in-depth development of the theoretical aspects of the
method of Evolving Sets, a method which has been used in several of my papers.
It is fairly esoteric as to a large degree it stems from my efforts to
ascertain whether Evolving sets is provably stronger than other isoperimetric
methods (answer: yes, with qualifications). For an introduction to the method
please see Chapter 4 of my book "Mathematical aspects of mixing times in Markov
chains" with Prasad Tetali, or the paper "Evolving sets, mixing and heat kernel
bounds" by Morris and Peres.
