We study the totally asymmetric simple exclusion process (TASEP) on trees where particles are generated at root. Particles can only jump away from root, and they x to y rate rx,y provided is empty. Starting all empty initial condition, we show that distribution of configuration time t converges an equilibrium. current give conditions transition rates such linear order or there zero current, i.e...

First and foremost, I would like to thank Salim Roukos at IBM’s Thomas J. Watson Research Center and Ronald Rosenfeld at Carnegie Mellon University. The work presented here was conducted while I was a visitor at TJ Watson during the summer and fall of 1993 and it was an extension of my previous work on trigger language models done at TJ Watson the preceding summer. Salim was my supervisor and m...