条件自由概率下的多线性函数级数的融合
Multilinear function series in conditionally free probability with amalgamation
摘要:
与自由度和单调独立性的情况一样,当复值状态被正的条件期望取代时,条件自由度的概念是有意义的。在此框架下,本文给出了几个正性结果,一个版本的中心极限定理和一个模拟的条件自由R-变换构造的多线性函数级数。
英文摘要:
As in the cases of freeness and monotonic independence, the notion of conditional freeness is meaningful when complex-valued states are replaced by positive conditional expectations. In this framework, the paper presents several positivity results, a version of the central limit theorem and an analogue of the conditionally free R-transform constructed by means of multilinear function series.
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