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math.PR2015★ 14 cited
Free probability for purely discrete eigenvalues of random matrices
Benoit Collins, Takahiro Hasebe, Noriyoshi Sakuma
In this paper, we study random matrix models which are obtained as a non-commutative polynomial in random matrix variables of two kinds: (a) a first kind which have a discrete spec…
math.PR2015★ 1 cited
Unimodality for free Lévy processes
Takahiro Hasebe, Noriyoshi Sakuma
We will prove that: (1) A symmetric free Lévy process is unimodal if and only if its free Lévy measure is unimodal; (2) Every free Lévy process with boundedly supported Lévy measur…