Elliott Lieb (Princeton University): A "liquid-solid" phase transition in a simple model for swarming

We consider a non-local shape optimization problem, which is motivated
by a simple model for swarming and other self-assembly/aggregation
models, and prove the existence of different phases. A technical key
ingredient, which we establish, is that a strictly subharmonic function
cannot be constant on a set of positive measure. (With Rupert Frank)

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Nov. 9, 2016