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
Branching annihilating random walks are interacting particle systems that appear as a natural mathematical tool to model the spread of a population competing for spatial resources. The classical methods for proving survival heavily rely on monotonicity properties of the system and are therefore not applicable in this context. We consider a model on the lattice in which particles branch, perform jumps within a certain radius of their parent and are killed whenever they occupy the same site. We study the extinction and survival of the system under different parameter regimes and prove results about the particle density on the survival cluster. Based on joint works with Nina Gantert (TU Munich), Matthias Birkner (University of Mainz), Jiri Cérny (University of Basel) and Pascal Oswald (University of Basel).
