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Mathematical Physics Seminar

A 'liquid-solid' phase transition in a simple model for swarming

Location:  Hill 705
Date & time: Thursday, 08 September 2016 at 12:00PM - 12:11PM

Elliott Lieb , Princeton University: 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 keyingredient, 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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Department of Mathematics

Department of Mathematics
Rutgers University
Hill Center - Busch Campus
110 Frelinghuysen Road
Piscataway, NJ 08854-8019, USA

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