Properties of an asymmetric annihilation process (Prof. Volker Strehl)

Description

In recent work the physicists A. Ayyer and K. Mallik (C.E.A. Saclay) introduced a model for an asymmetric exclusion process (like the famous TASEP model) which in addition to previous studies includes the possibility for pairwise annihilation of particles. They investigated combinatorial and stochastic properties of this model in detail, but a major problem remained unresolved: computing the eigenvalues of this process -- but they came up with an intriguing conjecture. A proof of this conjecture (and a far more general statement) will be outlined in this talk. In addition, a generalized version of the partition function and the transfer matrices for this process will be presented, as well as a conjecture about rational functions related to shifted Young tableaux. It should be mentioned that although the proof of the eigenvalue conjecture is now completely ``classical'', its discovery was guided by heavy assistance of computer algebra. Part of this work was done in collaboration with A. Ayyer.

Period	16 Jun 2010
Event type	Guest talk
Location	AustriaShow on map