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- W4302321458 abstract "We define higher order infinitesimal noncommutative probability space and infinitesimal non-crossing cumulant functionals. In this framework, we generalize to higher order the notion of infinitesimal freeness, via a vanishing of mixed cumulants condition. We also introduce and study some non-crossing partitions related to this notion. Finally, as an application, we show how to compute the successive derivatives of the free convolution of two time-indexed families of distributions from their individual derivatives." @default.
- W4302321458 created "2022-10-06" @default.
- W4302321458 creator A5057448525 @default.
- W4302321458 date "2010-09-13" @default.
- W4302321458 modified "2023-09-29" @default.
- W4302321458 title "Higher order infinitesimal freeness" @default.
- W4302321458 doi "https://doi.org/10.48550/arxiv.1009.2389" @default.
- W4302321458 hasPublicationYear "2010" @default.
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