Log-unimodality for free positive multiplicative Brownian motion

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چکیده

We prove that the marginal law $\sigma _{t}\mathrel {\scriptstyle {\boxtimes }}\nu $ of free positive multiplicative Brow\-nian motion is log-unimodal for all $t \gt 0$ if $\nu a multiplicatively symmetric distribution, and

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ژورنال

عنوان ژورنال: Colloquium Mathematicum

سال: 2022

ISSN: ['0010-1354', '1730-6302']

DOI: https://doi.org/10.4064/cm8413-6-2021