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
The multispecies totally asymmetric simple exclusion process (MTASEP) is an interacting particle system defined on a finite one-dimensional integer lattice with periodic boundary conditions. The exact stationary distribution of this Markov process was described by P. Ferrari and J. Martin using multiclass M/M/1 queues. Recently, T. Lam considered a random walk on the alcoves of an affine Weyl group conditioned never to cross the same hyperplane twice. He proved that the limiting direction of this walk exists almost surely, and conjectured a formula for it for \tilde{A}_n. I will describe joint work with S. Linusson, where we solved this conjecture by computing this limiting direction as certain correlations of the MTASEP.
Time permitting, I will describe extensions of our work for the affine Weyl group \tilde{C}_n. This involves the study of correlations in a multispecies exclusion process with open boundaries (i.e., allowing the entry and exit of particles). Here, we have also computed this limiting direction building on existing work of C. Arita, in joint work with E. Aas, S. Linusson and S. Potka.
