論文
2024
Eigenvalue and pseudospectrum processes generated by nonnormal Toepliz matrices with perturbation
Saori Morimoto, Makoto Katori, Tomoyuki Shirai
Accumulated spectrograms for hyperuniform determinantal point processes
Makoto Katori, Pierre Lazag, Tomoyuki Shirai
2023
Switching particle systems for foraging ants showing phase transitions in path selections
(cond-mat.stat-mech/2311.01946)
Physica A: Statistical Mechanics and its Applications (2024) 129798
Ayana Ezoe, Saori Morimoto, Yuya Tanaka, Makoto Katori, Hiraku Nishimori
GICAR Algebras and Dynamics on Determinantal Point Processes: Discrete Orthogonal Polynomial Ensemble Case
Ryosuke sato
Eigenvalues, eigenvector-overlaps, and regularized Fuglede--Kadison determinant of the non-Hermitian matrix-valued Brownian motion
Syota Esaki, Makoto Katori, Satoshi Yabuoku
On an identity of Chaundy and Bullard. III. Basic and elliptic extensions
Natsuko Hoshi, Makoto Katori, Tom H. Koornwinder, Michael J. Schlosser
2022
Local universality of determinantal point processes on Riemannian manifolds
Makoto Katori, Tomoyuki Shirai
On the continuity of half-plane capacity with respect to Caratheodory convergence
Takuya Murayama
Multiplicative Characters and Gaussian Fluctuation Limits
Ryosuke sato
Point Processes and Multiple SLE/GFF Coupling
Makoto Katori
Hyperuniformity of the determinantal point processes associated with the Heisenberg group
Makoto Katori
Zeros of the i.i.d. Gaussian Laurent series on an annulus: weighted Szego kernels and permanental-determinantal point processes
Communications in Mathematical Physics 392 (2022) 1099-1151, Open Access
Makoto Katori, Tomoyuki Shirai
Functional equations solving initial-value problems of complex Burgers-type equations for one-dimensional log-gases
Taiki Endo, Makoto Katori, Noriyoshi Sakuma
Partial Isometries, Duality, and Determinantal Point Processes
Random Matrices: Theory and Applications 11 (2022) 2250025 (70 pages) Open Access
Makoto Katori, Tomoyuki Shirai
2021
Free field approach to the Macdonald process
Shinji Koshida
Three phases of multiple SLE driven by non-colliding Dyson’s Brownian motions
Makoto Katori, Shinji Koshida
Spreading and suppression of infection clusters on the Ginibre continuum percolation clusters
Machiko Katori, Makoto Katori
Continuum percolation and stochastic epidemic models on Poisson and Ginibre point processes
Machiko Katori, Makoto Katori
Functional Equations Solving Initial-Value Problems of Complex Burgers-Type Equations for One-Dimensional Log-Gases
Taiki Endo, Makoto Katori, Noriyoshi Sakuma
The quantum group dual of the first-row subcategory for the generic Virasoro VOA
Shinji Koshida, Kalle Kytola
Free field theory and observables of periodic Macdonald processes
Journal of Combinatorial Theory, Series A. 182 (2021) 105473, 42 pages
Shinji Koshida
Local number variances and hyperuniformity of the Heisenberg family of determinantal point processes
Takato Matsui, Makoto Katori, Tomoyuki Shirai
Multiple backward Schramm--Loewner evolution and coupling with Gaussian free field
Shinji Koshida
Gaussian free fields coupled with multiple SLEs driven by stochastic log-gases
Makoto Katori, Shinji Koshida
Pfaffian Point Processes from Free Fermion Algebras: Perfectness and Conditional Measures
Shinji Koshida
書籍
Elliptic Extensions in Statistical and Stochastic Systems
(Springer, 2023)
Makoto Katori
Bessel Processes, Schramm-Loewner Evolution, and the Dyson Model
(Springer, 2016)
Makoto Katori
記事
ランダムな面からランダムな点と線のダイナミクスへ―ガウス自由場,ダイソン模型,多重SLE
(『数理科学』, 2023年3月 (No.717), pp.44-50, サイエンス社)
香取眞理