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- W4300128420 abstract "We introduce multilevel versions of Dyson Brownian motions of arbitrary parameter $beta>0$, generalizing the interlacing reflected Brownian motions of Warren for $beta=2$. Such processes unify $beta$ corners processes and Dyson Brownian motions in a single object. Our approach is based on the approximation by certain multilevel discrete Markov chains of independent interest, which are defined by means of Jack symmetric polynomials. In particular, this approach allows to show that the levels in a multilevel Dyson Brownian motion are intertwined (at least for $betage 1$) and to give the corresponding link explicitly." @default.
- W4300128420 created "2022-10-03" @default.
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- W4300128420 date "2014-01-22" @default.
- W4300128420 modified "2023-10-16" @default.
- W4300128420 title "Multilevel Dyson Brownian motions via Jack polynomials" @default.
- W4300128420 doi "https://doi.org/10.48550/arxiv.1401.5595" @default.
- W4300128420 hasPublicationYear "2014" @default.
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