Lecture Series: Scaling Dynamics in Aggregation Models

21 May 2010
28 May 2010
Professor Bob Pego
<p>Clustering phenomena occur in numerous areas of science.</p> <p>This series of lectures will discuss:</p> <p>(i) basic kinetic models for clustering- Smoluchowski's coagulation equation, random shock clustering, ballistic aggregation, domain-wall merging;</p> <p>(ii) Criteria for approach to self-similarity- role of regular variation;</p> <p>(iii) The scaling attractor and its measure representation.</p> <p>A particular theme is the use of methods and insights from probability in tandem with dynamical systems theory. In particular there is a</p> <p>close analogy of scaling dynamics with the stable laws of probability and infinite divisibility.</p>