32 citations · 185 across the 24 of their papers we have counts for
4 papers · 1 filter
Bi-monotonic independence for pairs of algebras
Yinzheng Gu, Takahiro Hasebe, Paul Skoufranis
In this article, the notion of bi-monotonic independence is introduced as an extension of monotonic independence to the two-faced framework for a family of pairs of algebras in a n…
A Combinatorial Approach to the Opposite Bi-Free Partial -Transform
Paul Skoufranis
In this paper, we present a combinatorial approach to the opposite 2-variable bi-free partial -transforms where the opposite multiplication is used on the right. In addition, ex…
Bi-Boolean independence for pairs of algebras
Yinzheng Gu, Paul Skoufranis
In this paper, the notion of bi-Boolean independence for non-unital pairs of algebras is introduced thereby extending the notion of Boolean independence to pairs of algebras. The n…
Analytic subordination for bi-free convolution
Serban Belinschi, Hari Bercovici, Yinzheng Gu +1
In this paper we study some analytic properties of bi-free additive convolution, both scalar and operator-valued. We show that using properties of Voiculescu's subordination functi…