OxTalks will soon move to the new Halo platform and will become 'Oxford Events.' There will be a need for an OxTalks freeze. This was previously planned for Friday 14th November – a new date will be shared as soon as it is available (full details will be available on the Staff Gateway).
In the meantime, the OxTalks site will remain active and events will continue to be published.
If staff have any questions about the Oxford Events launch, please contact halo@digital.ox.ac.uk
We introduce recent work studying systems of diffusion that interact through their reflection term (local time). We discuss how the hydrodynamic limit of such systems, i.e. the large-scale behavior of the empirical process, will converge to a nonlinear PDE whose solution exhibits interaction 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.
