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SUMMARY:Interacting reflected diffusions and their hydrodynamic limits - C
 layton Barnes (Université de Neuchâtel)
DTSTART;VALUE=DATE-TIME:20190617T120000
DTEND;VALUE=DATE-TIME:20190617T130000
UID:https://talks.ox.ac.uk/talks/id/5181ee6a-7b0a-4284-bd9e-3b63e635d3d4/
DESCRIPTION:We introduce recent work studying systems of diffusion that in
 teract through their reflection term (local time). We discuss how the hydr
 odynamic limit of such systems\, i.e. the large-scale behavior of the empi
 rical process\, will converge to a nonlinear PDE whose solution exhibits i
 nteraction with the past values at the boundary. If time allows\, we will 
 discuss aspects of the proofs and how the uniqueness of such PDEs follows 
 from a stochastic representation.\nSpeakers:\nClayton Barnes (Université 
 de Neuchâtel)
LOCATION:Mathematical Institute\, Woodstock Road OX2 6GG
TZID:Europe/London
URL:https://talks.ox.ac.uk/talks/id/5181ee6a-7b0a-4284-bd9e-3b63e635d3d4/
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ACTION:display
DESCRIPTION:Talk:Interacting reflected diffusions and their hydrodynamic l
 imits - Clayton Barnes (Université de Neuchâtel)
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