Nicos Georgiou (University of Sussex)
Title: The totally asymmetric simple exclusion process (TASEP) on Galton-Watson trees
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 to obtain some information about the limiting equilibrium measures. Both answers depend heavily on our choice of jump rates for the particles and different regimes of behaviour will be presented during the talk.
Our results rely on a crucial lemma that estimates the time it takes for the trajectories of the first N particles to decouple in the tree.
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Meeting ID: 970 9325 9428
Passcode: problab