Wednesday, June 20, 2018 - 1:30pm - 2:30pm
Johannes Zimmer (University of Bath)
We study particle systems and analyse their fluctuations. These fluctuations can be described by stochastic differential equations or variational formulations related to large deviations. The link between finite systems and their many-particle limit will be analysed in this formulation, and this scaling limit will be compared to classic ones.
Wednesday, June 5, 2013 - 3:30pm - 4:00pm
David Uminsky (University of San Francisco)
We present an overview of recent results on localized pattern formation in non-local PDEs that arise in swarming and self-assembly models. Much work has been done in one dimension but two dimensions and higher has been more challenging. We present a mathematical framwork which predicts the rich array of localized patterns which have been observed in two and three dimensions. In particular we compute the non-local, linear stability analysis for particles which bifurcate away from radially symmetric states such as rings and spheres.
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