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math.CV2023
Nonlinear resolvents and decreasing Loewner chains
Ikkei Hotta, Sebastian Schleißinger, Toshiyuki Sugawa
In this article we prove that nonlinear resolvents of infinitesimal generators on bounded and convex subdomains of $\C^n$ are decreasing Loewner chains. Furthermore, we consider th…
math.PR2023
Topology and convergence on the space of measure-valued functions
Takahiro Hasebe, Ikkei Hotta, Takuya Murayama
In these notes, uniform convergence on compacta is studied on the space of functions taking values in the set of finite Borel measures. Related limit theorems, including Lévy's con…