47 citations · 322 across the 54 of their papers we have counts for
55 papers
On the free Lévy measure of the normal distribution
Takahiro Hasebe, Yuki Ueda
Belinschi et al. [Adv. Math., 226 (2011), 3677--3698] proved that the normal distribution is freely infinitely divisible. This paper establishes a certain monotonicity, real analyt…
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…
Loewner Theory for Bernstein functions II: applications to inhomogeneous continuous-state branching processes
Pavel Gumenyuk, Takahiro Hasebe, José-Luis Pérez
This paper continues the research project launched in [Constr. Approx. (2025) https://doi.org/10.1007/s00365-023-09675-9] and aimed at studying time-inhomogeneous one-dimensional b…
On Boolean selfdecomposable distributions
Takahiro Hasebe, Kei Noba, Noriyoshi Sakuma +1
This paper introduces the class of selfdecomposable distributions concerning Boolean convolution. A general regularity property of Boolean selfdecomposable distributions is establi…
Loewner Theory for Bernstein functions I: evolution families and differential equations
Pavel Gumenyuk, Takahiro Hasebe, José-Luis Pérez
One-parameter semigroups of holomorphic functions appear naturally in various applications of Complex Analysis, and in particular, in the theory of (temporally) homogeneous Markov…
Cyclic independence: Boolean and monotone
Octavio Arizmendi, Takahiro Hasebe, Franz Lehner
The present paper introduces a modified version of cyclic-monotone independence which originally arose in the context of random matrices, and also introduces its natural analogy ca…