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math.PR2021
On freely quasi-infinitely divisible distributions
Ikkei Hotta, Wojciech Młotkowski, Noriyoshi Sakuma +1
Inspired by the notion of quasi-infinite divisibility (QID), we introduce and study the class of freely quasi-infinitely divisible (FQID) distributions on , i.e. distri…
math.PR2021
Functional Equations Solving Initial-Value Problems of Complex Burgers-Type Equations for One-Dimensional Log-Gases
Taiki Endo, Makoto Katori, Noriyoshi Sakuma
We study the hydrodynamic limits of three kinds of one-dimensional stochastic log-gases known as Dyson's Brownian motion model, its chiral version, and the Bru-Wishart process stud…