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SUMMARY:Transport Metrics for Vlasov Hierarchies - Martin Burger\, WWU Mü
 nster
DTSTART:20171030T150000Z
DTEND:20171030T160000Z
UID:TALK94321@talks.cam.ac.uk
CONTACT:Ariane Trescases
DESCRIPTION:Strong progress has been made in the geometric understanding o
 f macroscopic evolution equations for \nprobability densities in the last 
 decades\, which often lead to gradient structures in transport metrics. \n
 Since frequently microscopic evolution laws can be formulated in a similar
  way\, it is a natural question \nhow to proceed from the microscopic to t
 he macroscopic structures. Strong progress has been made recently \ne.g. v
 ia large deviation functionals\, but we want instead take a standard route
  in statistical mechanics \nand consider equation hierarchies for marginal
 s and define a (at this point formal) gradient flow structure \non them. W
 e discuss the transport problems and corresponding mean-field limits from 
 fluid dynamic and \nKantorovich type perspectives. Moreover\, we comment o
 n possible implications on higher-order closures of \nthe hierarchy. Final
 ly we discuss similar problems for stochastic interacting particle systems
  on lattices and\nthe corresponding macroscopic limits.
LOCATION:CMS\, MR13
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