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. ————————— Elia Bisi Assistant Professor (RTT) University of Florence Department of Mathematics & Computer Science Personal homepage Florence Probability group