Lecture Series: Scaling Dynamics in Aggregation Models
|
Fri, 21/05/2010 10:00 |
Professor Bob Pego (Carnegie Mellon University) |
OxPDE Events  |
Gibson 1st Floor SR |
| 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. | |||