In the preface to the second edition of Daniel Stroock's book "Probability Theory: An Analytic View", there is this striking claim (on p. xv)
... I suspect that, for at least a decade, the most important developments in the field will have a strong combinatorial component ...
I have several questions
- What have been the most striking and impressive developments along that line in the past decade?
- Is there an overwhelming agreement in the research community about that statement?
- What are the most promising avenues of exploration?
- Was the progress occurring throughout probability theory and some specific fields such as stochastic processes or statistics or was it confined to areas that were fundamentally combinatorial in nature such as random graph theory?