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Transition Probabilities of some Bethe ansatz solvable interacting particle systems on Z
Student-Run Research 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.