Axel Saenz (UVA)
The Plancherel Growth process is a Markov process on Young diagrams. In this talk, I will write a generating function of the transition probabilities of the process and relate this function to theory of KP integrability. This integrability hierarchy gained popularity with Japanese school in the early 80's within the context of Soliton waves and it also had a resurgence in the mid 90's with the intersection numbers of the moduli space of curves. Now, there seems to be an interaction between probabilistic models and integrability which allows for beautiful, interesting, and exact formulas. This is a result in that direction.
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