Return to Colloquia & Seminar listing

### The asymmetric exclusion process on the half line with general open boundaries

**Algebra & Discrete Mathematics**

Speaker: | Jan de Gier, University of Melbourne |

Related Webpage: | https://blogs.unimelb.edu.au/jan-de-gier/ |

Location: | 2112 MSB |

Start time: | Tue, May 28 2024, 11:00AM |

I will present the derivation of an explicit expression for the transition probability of the ASEP on the half line with general, non-particle-conserving open boundaries. Using a vertex model approach we derive contour integral expressions for these transition probabilities, with particular emphasis on the empty-to-empty transition, which is the simplest while retaining all non-trivial features of the generic non-diagonal boundaries. Our formalism also provides a new Cauchy identity for boundary symmetric functions.