Dear Colleagues,

We are pleased to invite you to the following SPASS seminar (jointly organised by UniPi, SNS, UniFi and UniSi):

Speaker: Nicos Georgiou (University of Sussex)

Title: The totally asymmetric simple exclusion process (TASEP) on Galton-Watson trees

Date and time: Wed 25th March at 14:00

Place: Room 107, Centro Didattico Morgagni, University of Florence

Join online: meet.google.com/esm-ijgd-wai

On behalf of the organisers,
Elia Bisi

*********************

Abstract:

We define a totally asymmetric simple exclusion process on trees, where the particles enter the tree from a reservoir attached to the root. Particles can only jump following edges on the tree and only if they are jumping away from the root, to a non-occupied vertex.

We are interested in two different aspects of this particle system. First we want to investigate the current of particles across a given generation at a specific time, when we start from an initially empty initial condition. Second, we would like some current estimates along a ray. Both answers depend heavily on our choice of jump rates for the particles and different regimes of behaviour will be presented during the talk.