Research keywords (5)：
Free probability theory
, Finite free probability theory
, Probability theory
, Infinitely divisible distributions
, Limit theorems
Research theme for competitive and other funds (3)：
2022 - 2027 自由確率論における極限定理の研究とそのランダム行列への応用
2024 - 2024 Studies on quantum walks and orthogonal polynomials
2019 - 2023 Limit theorems for diffusions, Levy processes and their variants with their applications
Papers (18)：
Daiju Funakawa, Satoshi Okumura, Yuki Ueda. Spectral energy of Dirac operators for fermion scattering on topological solitons in the nonlinear O(3) sigma-model. arXiv:2405.10549. 2024
Yamato Kindaichi, Yuki Ueda. A note on convergence of densities to free extreme value distributions. arXiv:2405.09156. 2024
Octavio Arizmendi, Katsunori Fujie, Yuki Ueda. New combinatorial identity for the set of partitions and limit theorems in finite free probability theory. International Mathematics Research Notices (in press). 2024
Takahiro Hasebe, Kei Noba, Noriyoshi Sakuma, Yuki Ueda. On boolean selfdecomposable distributions. Studia Mathematica. 2024. 274. 2. 129-151
Takahiro Hasebe, Yuki Ueda. On the free Lévy measure of the normal distribution. Electronic Journal of Probability. 2023. 28. 1-19
Yuki Ueda, Takahiro Hasebe. Asymptotic behaviors of the free Levy measure of the normal distribution. The Institute of Statistical Mathematics Cooperative Research Report. 2024. 472. 42-48
Yuki Ueda. Relation between stable laws and extreme values. The Institute of Statistical Mathematics Cooperative Research Report 445 (2021) 33-37. 2021
Yuki Ueda. On free extreme value distributions. RIMS Kôkyûroku 2177. 2021
Yuki Ueda. Extreme value distribution in non-commutative probability theory. The Institute of Statistical Mathematics cooperative research report 433 (2020) 70-84. 2020
Takahiro Hasebe, Yuki Ueda. Unimodality for classical and free Brownian motions with initial distributions. RIMS Kôkyûroku. 2019. 2123. 47-50
