Clustering phenomena occur in numerous areas of science. This series of lectures will discuss:
(i) basic kinetic models for clustering- Smoluchowski's coagulation equation, random shock clustering, ballistic aggregation, domain-wall merging;
(ii) Criteria for approach to self-similarity- role of regular variation;
(iii) The scaling attractor and its measure representation. A particular theme is the use of methods and insights from probability in tandem with dynamical systems theory. In particular there is a
close analogy of scaling dynamics with the stable laws of probability and infinite divisibility.
- OxPDE Events