Yuki UEDA (植田 優基)
Department of Mathematics, Hokkaido University of Education, Lecturer
E-mail: yuki1114.prob ''at'' gmail.com (please replace ''at'' by @)
Research Interests:
Free Probability Theory
Probability Theory (Levy processes, Infinite divisibility, Extreme values and Regular variation)
Operator Theory related to Quantum Physics
List of Papers
D. Funakawa, S. Okumura and Y. Ueda, Spectral energy of Dirac operators for fermion scattering on topological solitons in the nonlinear O(3) sigma-model. arXiv:2405.10549
Y. Kindaichi and Y. Ueda, A note on convergence of densities to free extreme value distributions. arXiv:2405.09156
O. Arizmendi, K. Fujie and Y. Ueda, New combinatorial identity for the set of partitions and limit theorems in finite free probability theory. Accepted for publication in Internat. Math. Res. Not. IMRN (2024) arXiv:2303.01790
T. Hasebe, K. Noba, N. Sakuma and Y. Ueda, On Boolean selfdecomposable distributions. Studia Math. 274 (2024), no.2, 129-151. arXiv:2206.04932
T. Hasebe and Y. Ueda, On the free Lévy measure of the normal distribution. Electron. J. Probab. 28 (2023), 1-19. arXiv:2303.13926
I. Hotta, W. Młotkowski, N. Sakuma and Y. Ueda, On freely quasi-infinitely divisible distributions. ALEA Lat. Amer. J. Probab. Math. Stat. 20 (2023), no.2, 941-971. arXiv:2107.09473
K. Fujie and Y. Ueda, Law of large numbers for roots of finite free multiplicative convolution of polynomials. SIGMA 19 (2023), 004, 11 pages. arXiv:2208.11297
Y. Ueda, Rates of convergence for laws of the spectral maximum of free random variables. Infin. Dimens. Anal. Quantum Probab. Relat. Top. 25, No. 3, 2250019 (2022). arXiv:2105.08258
T. Hasebe, Y. Ueda and J.-C. Wang, Log-unimodality for free positive multiplicative Brownian motion. Colloq. Math. 169 (2022), 209-226. arXiv:2009.13848
Y. Ueda, Limit theorems for classical, freely and Boolean max-infinitely divisible distributions. J. Theoret. Probab. 35 (2022), no.1, 89-114. arXiv:1907.11996
T. Hasebe and Y. Ueda, Homomorphisms relative to additive convolutions and max-convolutions: free, boolean and classical cases. Proc. Amer. Math. Soc. 149 (2021), no.11, 4799-4814. arXiv:2011.10399
B. H. Fukushima-Kimura, A. Sakai, H. Toyokawa and Y. Ueda, Stability of energy landscape for Ising models. Phys. A 583 (2021) No.126208, 15pp. arXiv:2105.00449
T. Hasebe and Y. Ueda, Unimodality for free multiplicative convolution with free normal distributions on the unit circle. J. Operator Theory 85 (2021), no.1, 21-43. arXiv:1903.05327
Y. Ueda, Max-convolution semigroups and extreme values in limit theorems for the free multiplicative convolution. Bernoulli 27 (2021), no.1, 502-531. arXiv:2003.05382
J. Morishita and Y. Ueda, Free infinite divisibility for generalized power distributions with free Poisson term. Probab. Math. Stat. 40 (2020), no.2, 245-267. arXiv:1806.07738
W. Młotkowski, N. Sakuma and Y. Ueda, Free self-decomposability and unimodality of the Fuss–Catalan distributions. J. Stat. Phys. 178 (2020), no.5, 1055-1075. arXiv:1908.07887
Y. Ueda, On tensors of factorizable quantum channels with the completely depolarizing channel. Adv. Oper. Theory 3 (2018), no.4, 807-815. arXiv:1803.10446
T. Hasebe and Y. Ueda, Large time unimodality for classical and free Brownian motions with initial distributions. ALEA Lat. Amer. J. Probab. Math. Stat. 15 (2018), no.1, 353-374. arXiv:1710.08240
Workshops and Seminars
Studies on quantum walks and orthogonal polynomials (Nov. 18-20, 2024)
Non-Commutative Probability and Related Topics 2024 (Oct. 16-18, 2024)
Asahikawa Non-commutative Analysis Seminar (Aug. 20, 2024)
Last update: June 28, 2024