論文・書籍

Publications

論文

2024

Eigenvalue and pseudospectrum processes generated by nonnormal Toepliz matrices with perturbation

(math-ph/2401.08129)

Saori Morimoto, Makoto Katori, Tomoyuki Shirai

Accumulated spectrograms for hyperuniform determinantal point processes

(math.PR/2403.16325)

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

(math.OA/2309.01117)

Ryosuke sato

Eigenvalues, eigenvector-overlaps, and regularized Fuglede--Kadison determinant of the non-Hermitian matrix-valued Brownian motion

(math.PR/2306.00300)

Syota Esaki, Makoto Katori, Satoshi Yabuoku

On an identity of Chaundy and Bullard. III. Basic and elliptic extensions

(math.CO/2304.10003)

Natsuko Hoshi, Makoto Katori, Tom H. Koornwinder, Michael J. Schlosser

2022

Local universality of determinantal point processes on Riemannian manifolds

(math.PR/2203.07595), 

Proc. Japan Acad. Ser. A Math. Sci. 98 (2022) 95-100

Makoto Katori, Tomoyuki Shirai

Takuya Murayama

Multiplicative Characters and Gaussian Fluctuation Limits

(math.RT/2210.06024)

Ryosuke sato

Point Processes and Multiple SLE/GFF Coupling

(math.PR/2207.14362) 

Makoto Katori

Hyperuniformity of the determinantal point processes associated with the Heisenberg group

(math.PR/2203.09062)

RIMS Kokyuroku 2235 (2022) 12-29

Makoto Katori

Zeros of the i.i.d. Gaussian Laurent series on an annulus: weighted Szego kernels and permanental-determinantal point processes

(math.PR/2008.04177)

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

(math.PR/2106.00442)

SIGMA 18 (2022), 049, 22 pages

Taiki Endo, Makoto Katori, Noriyoshi Sakuma

Makoto Katori, Tomoyuki Shirai

2021

Shinji Koshida

Three phases of multiple SLE driven by non-colliding Dyson’s Brownian motions

(math.PR/2011.10291)

J. Phys. A: Math. Theor. 54 (2021) 325002, 19 pages

Makoto Katori, Shinji Koshida

Spreading and suppression of infection clusters on the Ginibre continuum percolation clusters

(cond-mat.stat-mech/2105.04142)

Machiko Katori, Makoto Katori

Continuum percolation and stochastic epidemic models on Poisson and Ginibre point processes

(cond-mat.stat-mech/2103.08461)

Physica A 581 (2021) 126191, 14 pages

Machiko Katori, Makoto Katori

Functional Equations Solving Initial-Value Problems of Complex Burgers-Type Equations for One-Dimensional Log-Gases

(math.PR/2106.00442)

Taiki Endo, Makoto Katori, Noriyoshi Sakuma

The quantum group dual of the first-row subcategory for the generic Virasoro VOA

(math.QA/2105.13839)

Communications in Mathematical Physics

Shinji Koshida, Kalle Kytola

Free field theory and observables of periodic Macdonald processes

(math.CO/2001.04607)

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

(math.PR/2012.10585)

J. Phys. A: Math. Theor. 54 (2021) 165201, 22 pages

Takato Matsui, Makoto Katori, Tomoyuki Shirai

Multiple backward Schramm--Loewner evolution and coupling with Gaussian free field

(math.PR/1908.07180)

Lett. Math. Phys. 111 (2021) 30, 41 pages

Shinji Koshida

Gaussian free fields coupled with multiple SLEs driven by stochastic log-gases

(math.PR/2001.03079)

Advanced Studies in Pure Mathematics 87 (2021) 315-340

Makoto Katori, Shinji Koshida

Pfaffian Point Processes from Free Fermion Algebras: Perfectness and Conditional Measures

(math.PR:2005.02837)

SIGMA 17 (2021), 008, 35 pages

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