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論文(2016年〜)

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2022

Makoto Katori
Hyperuniformity of the determinantal point processes associated with the Heisenberg group
(math.PR/2203.09062)
Makoto Katori, Tomoyuki Shirai
Local universality of determinantal point processes on Riemannian manifolds
(math.PR/2203.07595)
Makoto Katori, Tomoyuki Shirai
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
Taiki Endo, Makoto Katori, Noriyoshi Sakuma
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
Makoto Katori, Tomoyuki Shirai,
Partial Isometries, Duality, and Determinantal Point Processes
(math.PR/1903.04945)
Random Matrices: Theory and Applications 11 (2022) 2250025 (70 pages) Open Access

2021

Shinji Koshida,
Free field approach to the Macdonald process
(math.QA/1905.07087)
Journal of Algebraic Combinatorics 54, 223-263 (2021)
Takuya Murayama
On the continuity of half-plane capacity with respect to Caratheodory convergence
(math.CV/2106.12717)
Makoto Katori, 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
Machiko Katori, Makoto Katori
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
Taiki Endo, Makoto Katori, Noriyoshi Sakuma
Complex Burgers-type equations and functional equations for the Cauchy transforms, the R-transforms, and the S-transforms of log-gas measures
(math.PR/2106.00442)
Shinji Koshida, Kalle Kytola
The quantum group dual of the first-row subcategory for the generic Virasoro VOA
(math.QA/2105.13839)
Communications in Mathematical Physics
Shinji Koshida,
Free field theory and observables of periodic Macdonald processes
(math.CO/2001.04607)
Journal of Combinatorial Theory, Series A. 182 (2021) 105473, 42 pages
Takato Matsui, Makoto Katori, Tomoyuki Shirai
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
Shinji Koshida,
Multiple backward Schramm--Loewner evolution and coupling with Gaussian free field
(math.PR/1908.07180)
Lett. Math. Phys. 111 (2021) 30, 41 pages
Makoto Katori, 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
Shinji Koshida,
Pfaffian Point Processes from Free Fermion Algebras: Perfectness and Conditional Measures
(math.PR:2005.02837)
SIGMA 17 (2021), 008, 35 pages