47 citations · 322 across the 54 of their papers we have counts for
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Unimodality of the freely selfdecomposable probability laws
Takahiro Hasebe, Steen Thorbjornsen
We show that any freely selfdecomposable probability law is unimodal. This is the free probabilistic analog of Yamazato's result in [Ann. Probab. 6 (1978), 523-531].
On operator-valued monotone independence
Takahiro Hasebe, Hayato Saigo
We investigate operator-valued monotone independence, a noncommutative version of independence for conditional expectation. First we introduce operator-valued monotone cumulants to…
Free infinite divisibility for beta distributions and related ones
Takahiro Hasebe
We prove that many of beta, beta prime, gamma, inverse gamma, Student t- and ultraspherical distributions are freely infinitely divisible, but some of them are not. The latter nega…
On free infinite divisibility for classical Meixner distributions
Marek Bozejko, Takahiro Hasebe
We prove that symmetric Meixner distributions, whose probability densities are proportional to , are freely infinitely divisible for . The case $t=…