Symmetry of matrix-valued stochastic processes and noncolliding diffusion particle systems M Katori, H Tanemura Journal of mathematical physics 45 (8), 3058-3085, 2004 | 162 | 2004 |
Coherent anomaly method in critical phenomena. I. M Suzuki, M Katori, X Hu Journal of the Physical Society of Japan 56 (9), 3092-3112, 1987 | 158 | 1987 |
Limit distributions of two-dimensional quantum walks K Watabe, N Kobayashi, M Katori, N Konno Physical Review A—Atomic, Molecular, and Optical Physics 77 (6), 062331, 2008 | 120 | 2008 |
Noncolliding Brownian motion and determinantal processes M Katori, H Tanemura Journal of statistical physics 129, 1233-1277, 2007 | 96 | 2007 |
Scaling limit of vicious walks and two-matrix model M Katori, H Tanemura Physical Review E 66 (1), 011105, 2002 | 96 | 2002 |
Coherent anomaly method in critical phenomena. II. Applications to the two-and three-dimensional Ising models M Katori, M Suzuki Journal of the Physical Society of Japan 56 (9), 3113-3125, 1987 | 89 | 1987 |
Coherent-anomaly method in critical phenomena. III. Mean-field transfer-matrix method in the 2D Ising model X Hu, M Katori, M Suzuki Journal of the Physical Society of Japan 56 (11), 3865-3880, 1987 | 73 | 1987 |
Upper bounds for survival probability of the contact process M Katori, N Konno Journal of statistical physics 63, 115-130, 1991 | 71 | 1991 |
Bessel processes, Schramm-Loewner evolution, and the Dyson model M Katori Springer Singapore, 2016 | 68 | 2016 |
Non-equilibrium dynamics of Dyson’s model with an infinite number of particles M Katori, H Tanemura Communications in Mathematical Physics 293 (2), 469-497, 2010 | 68 | 2010 |
Noncolliding squared Bessel processes M Katori, H Tanemura Journal of Statistical Physics 142, 592-615, 2011 | 60 | 2011 |
New method to study critical phenomena—Mean-field finite-size scaling theory M Suzuki, M Katori Journal of the Physical Society of Japan 55 (1), 1-4, 1986 | 60 | 1986 |
Proof of breaking of self-organized criticality in a nonconservative abelian sandpile model T Tsuchiya, M Katori Physical Review E 61 (2), 1183, 2000 | 56 | 2000 |
Wigner formula of rotation matrices and quantum walks T Miyazaki, M Katori, N Konno Physical Review A—Atomic, Molecular, and Optical Physics 76 (1), 012332, 2007 | 55 | 2007 |
Specific-heat anomaly in the Ising antiferromagnet Fe in external magnetic fields HA Katori, K Katsumata, M Katori Physical Review B 54 (14), R9620, 1996 | 53 | 1996 |
Applications of the CAM based on a new decoupling procedure of correlation functions in the one-dimensional contact process N Konno, M Katori Journal of the Physical Society of Japan 59 (5), 1581-1592, 1990 | 53 | 1990 |
Vicious walks with a wall, noncolliding meanders, and chiral and Bogoliubov–de Gennes random matrices M Katori, H Tanemura, T Nagao, N Komatsuda Physical Review E 68 (2), 021112, 2003 | 52 | 2003 |
Coherent-anomaly method in critical phenomena. V. Estimation of the dynamical critical exponent Δ of the two-dimensional kinetic Ising model M Katori, M Suzuki Journal of the Physical Society of Japan 57 (3), 807-817, 1988 | 48 | 1988 |
Functional central limit theorems for vicious walkers M Katori*, H Tanemura Stochastics and Stochastic Reports 75 (6), 369-390, 2003 | 47 | 2003 |
Maximum distributions of bridges of noncolliding Brownian paths N Kobayashi, M Izumi, M Katori Physical Review E—Statistical, Nonlinear, and Soft Matter Physics 78 (5 …, 2008 | 45 | 2008 |