Unimodality of the freely selfdecomposable probability laws

Abstract

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].

17 pages; Accepted version

References in corpus (1)

• Supports, regularity, and $⊞$-infinite divisibility for measures of the form $({\mu }^{⊞p}{)}^{\uplus q}$

Cited by in corpus (6)

• Classical Scale Mixtures of Boolean Stable Laws
• Large time unimodality for classical and free Brownian motions with initial distributions
• Free self-decomposability and unimodality of the Fuss-Catalan distributions
• The normal distribution is freely selfdecomposable
• Unimodality of Boolean and monotone stable distributions
• On free Generalized Inverse Gaussian distributions