Papers
*Preprint
O. Arizmendi, A. Campbell, K. Fujie, Critical points of random polynomials and finite free cumulants, arXiv:2506.08910 (2025).
K. Fujie, Regularity and Convergence Properties of Finite Free Convolutions, arXiv:2505.15575 (2025).
O. Arizmendi, K. Fujie, D. Perales, Y. Ueda, S-transform in Finite Free Probability, arXiv:2408.09337 (2024).
*Published
B. Collins, K. Fujie, T. Hasebe, F. Leid, N. Sakuma, Fluctuations of eigenvalues of a polynomial on Haar unitary and finite rank matrices, Math Phys Anal Geom 28, 28 (2025), https://doi.org/10.1007/s11040-025-09526-y.
K. Fujie and T. Hasebe, Free probability of type B prime, Trans. Amer. Math. Soc. 378 (2025), 5551-5577, https://doi.org/10.1090/tran/9464, arXiv:2310.14582 (2023).
O. Arizmendi, K. Fujie and Y. Ueda, New combinatorial identity for the set of partitions and limit theorems in finite free probability theory, Int. Math. Res. Not. IMRN (2024) rnae089, https://doi.org/10.1093/imrn/rnae089, arXiv:2303.01790 (2023).
K. Fujie and Y. Ueda, Law of large numbers for roots of finite free multiplicative convolution of polynomials, SIGMA 19 (2023), 004, 11 pages.
K. Fujie and T. Hasebe, The spectra of principal submatrices in rotationally invariant hermitian random matrices and the Markov-Krein correspondence, ALEA Lat. Am. J. Probab. Math. Stat. 19 (2022), 109-123.
Talks
Critical points of random polynomials via finite free cumulants, SIMA2025, CIMAT, September 2025
Regularity for finite free convolutions, CanaDAM2025, May 2025
Probabilidad libre infinitesimal asintótica para matrices aleatorias perturbadas, Seminario de Matrices Aleatorias y Probabilidad No Conmutativa, April 2025
Asymptotic Infinitesimal Free Probability for Perturbed Random Matrices, NCPRL2025, Institute of Statistical Mathematics, March 2025
Principal minor of random matrix, Markov--Krein correspondence, and type B' free probability, SIMA 2024, UADY, November 2024
Free probability of type B', Algebraic aspects of random matrices, CIRM, October 2024
Law of large numbers for finite free multiplicative convolution, SIMA 2022 & First Minimeeting M ́exico-Japan in Probability, CIMAT, September 2022
The spectra of principal submatrices in unitarily invariant hermitian random matrices, Workshop on Non-commutative Probability, RIMS, June 2022
The spectra of principal submatrices in random hermitian matrices, Non-commutative Probability and Related Fields, Nagoya University, November 2021
On random interlacing sequences constructed from the eigenvalues of a random matrix and of its minor, The 15th HU-SNU Joint Symposium on Mathematics (online), November 2021