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Transition Probabilities of some Bethe ansatz solvable interacting particle systems on Z

Student-Run Applied & Math Seminar

Speaker: Eunghyun Lee, UC Davis
Location: 1147 MSB
Start time: Wed, Feb 16 2011, 12:10PM

We treat Bethe ansatz solvable particle models on Z, which are ASEP, PushASEP, ASAP and AZRP with constant jumping rates. For PushASEP and ASAP to be Bethe ansatz solvable, there are some constraints on the models. The models with N particles are continuous time Markov processes with countable state spaces and we give the solution of the forward equation that each model satisfies.