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- W3000849732 abstract "In this paper, we derive explicit expressions for some classes of ⋆-moments of a free unitary Brownian motion compressed by a free projection, using various methods. While the moments of this nonnormal operator are readily derived through analytical or combinatorial methods, we only succeeded to derive its mixed ones after solving a nonlinear partial differential equation (pde) for their generating function. We shall also give some interest in odd alternating moments. In particular, we derive a linear pde for their generating function which we solve when the rank of the projection equals~1/2." @default.
- W3000849732 created "2020-01-30" @default.
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- W3000849732 date "2022-03-15" @default.
- W3000849732 modified "2023-09-26" @default.
- W3000849732 title "On star moments of the compression of the free unitary Brownian motion by a free projection" @default.
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- W3000849732 doi "https://doi.org/10.7900/jot.2020oct06.2319" @default.
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