Yuki Ueda

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math.PR2026

Scaling limit theorem for mixed free and Boolean convolution powers

Hao-Wei Huang, Noriyoshi Sakuma, Pei-Lun Tseng +1

We prove a scaling limit theorem for a double sequence of probability measures involving additive free convolution $⊞$ and additive Boolean convolution $⊎$ . Let $I^¼$ be…

math.PR2026

Convolution, cumulants and infinitesimal generators in the formal power series ring

Shuhei Tsujie, Yuki Ueda

We extend the notions of finite free convolution and finite free cumulants to the setting of formal power series by introducing their natural analogues, namely $t$ -deformed convolu…