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 (19)：
Octavio Arizmendi, Katsunori Fujie, Daniel Perales, Yuki Ueda. $S$-transform in Finite Free Probability. arXiv:2408.09337. 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 2024, Issue 14 (2024), 10524-10558. 2024
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
Takahiro Hasebe, Kei Noba, Noriyoshi Sakuma, Yuki Ueda. On boolean selfdecomposable distributions. Studia Mathematica. 2024. 274. 2. 129-151
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
感じる数学 : ガリレイからポアンカレまで = Tangible math (7章協力)
共立出版 2022 ISBN:9784320114784
Lectures and oral presentations (82)：
Limit theorems for empirical root distributions of polynomials and free probability
(Studies on quantum walks and orthogonal polynomials 2024)
The limiting behavior of empirical root distributions of polynomials and application to free probability
(Non-Commutative Probability and Related Topics 2024 2024)
The limiting behavior of empirical root distributions of polynomials and free probability
(2024 Open Japanese-German Conference on Stochastic Analysis, Hokkaido University 2024)
予想の科学
(道新文化センター講座, 道新文化センター札幌教室 2024)
Free convolution: general case (2) proof and examples
(山口大学オンライン連続講演会 (最終回) 2024)
