47 citations · 322 across the 54 of their papers we have counts for
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Conditionally monotone independence II: Multiplicative convolutions and infinite divisibility
Takahiro Hasebe
We study the multiplicative convolution for c-monotone independence. This convolution unifies the monotone, Boolean and orthogonal multiplicative convolutions. We characterize conv…
Infinite divisibility for additive conditionally monotone convolutions
Takahiro Hasebe
This paper has been withdrawn.
Conditionally monotone independence I: Independence, additive convolutions and related convolutions
Takahiro Hasebe
We define a product of algebraic probability spaces equipped with two states. This product is called a conditionally monotone product. This product is a new example of independence…
The Monotone Cumulants
Takahiro Hasebe, Hayato Saigo
In the present paper we define the notion of generalized cumulants which gives a universal framework for commutative, free, Boolean, and especially, monotone probability theories.…
Cumulants of a convolution and applications to monotone probability theory
Takahiro Hasebe
The contents are divided into two papers "The Monotone Cumulants" (arXiv:0907.4896) and "Conditionally monotone independence" (arXiv:0907.5473).