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math.PR2024
Additive processes on the real line and Loewner chains
Takahiro Hasebe, Ikkei Hotta, Takuya Murayama
This paper investigates additive processes with respect to several different independences in non-commutative probability in terms of the convolution hemigroups of the distribution…
math.PR2019
Limits of radial multiple SLE and a Burgers-Loewner differential equation
Ikkei Hotta, Sebastian Schleißinger
We consider multiple radial SLE as the number of curves tends to infinity. We give conditions that imply the tightness of the associated processes given by the Loewner equation. In…