A differential model for the deformation of the Plancherel growth process. (English summary) Adv. Math. 217 (2008), no. 6, 2625–2663. This paper treats a differential model associated with a q-analogue of the Plancherel growth process. It is well known that, along an almost sure path on the Young graph with respect to the Plancherel measure, a Young diagram of size n rescaled by 1 / √ n is attracted to the limit shape Ω(s) as n → ∞. S. V. Kerov [in Proceedings of the St. Petersburg Mathematical Society, Vol. IV, 111–130
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