論文(2001-2005)

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論文(2001年〜2005年)

[ 1985年〜1990年 ] [ 1991年〜1995年 ] [ 1996年〜2000年 ] [ 2001年〜2005年 ]

[ 2006年〜2010年 ] [ 2011年〜2015年 ] [ 2016年〜2020年 ] [ 2021年〜 ]

2005

Makoto Katori
Non-colliding system of Brownian particles as Pfaffian process (math.PR/0506186)
RIMS Kokyuroku 1422 (2005) 12-25
Makoto Katori, Soichi Fujino, Norio Konno
Quantum walks and orbital states of a Weyl particle (quant-ph/0503142)
Phys.Rev. A72 (2005) 012316 [pdf.file]
Makoto Katori, Hideki Tanemura
Nonintersecting Paths, Noncolliding Diffusion Processes and Representation Theory (math.PR/0501218)
RIMS Kokyuroku 1438 (2005) 83-102

2004

Makoto Katori, Hideki Tanemura
Symmetry of matrix-valued stochastic processes and noncolliding diffusion particle systems (math-ph/0402061)
J. Math. Phys. 45 (2004) 3058-3085
Makoto Katori, Taro Nagao, Hideki Tanemura
Infinite systems of non-colliding Brownian particles (math.PR/0301143)
Advanced Studies in Pure Mathematics 39 ``Stochastic Analysis on Large Scale Interacting Systems", pp. 283-306 (Mathematical Society of Japan, 2004).
Makoto Katori, Norio Konno, Aidan Sudbury, and Hideki Tanemura
Dualities for the Domany-Kinzel model
J. Theor. Probab. 17 (2004) 131-144.

2003

Makoto Katori, Hideki Tanemura
Noncolliding Brownian motions and Harish-Chandra formula (math.PR/0306386)
Elect. Comm. in Probab. 8 (2003) 112-121
Makoto Katori, Hideki Tanemura, Taro Nagao, Naoaki Komatsuda
Vicious walk with a wall, noncolliding meanders, and chiral and Bogoliubov-deGennes random matrices (cond-mat/0303573)
Phys. Rev. E 68 (2003) 021112 [pdf.file]
Taro Nagao, Makoto Katori, Hideki Tanemura
Dynamical Correlations among Vicious Random Walkers (cond-mat/0202068)
Phys. Lett. A307 (2003) 29
Makoto Katori, Naoaki Komatsuda
Moments of vicious walkers and M"obius graph expansions (cond-mat/0212500)
Phys. Rev. E 67 (2003) 051110 [pdf.file]
Makoto Katori, Hideki Tanemura
Functional central limit theorems for vicious walkers (math.PR/0203286)
Stoch. Stoch. Rep. 75 (2003) 369-390
John Cardy, Makoto Katori
Families of Vicious Walkers (cond-mat/0208228)
J. Phys. A, 36, 609, 2003.

2002

Makoto Katori, Hideki Tanemura
Scaling limit of vicious walks and two-matrix model (cond-mat/0203549)
Phys. Rev. E 66 (2002) 011105
Makoto Katori, Norio Konno, and Hideki Tanemura
Limit theorems for the nonattractive Domany-Kinzel model,
Ann. Probab. 30 (2002) 933-947.
Takayuki Mizuno, Makoto Katori, Hideki Takayasu, and Misako Takayasu
Statistical laws in the income of Japanese companies (cond-mat/0308365)
in Empirical Science of Financial Fluctuations: The Advent of Econophysics,
edited by H. Takayasu, pp. 321-330, Springer-Verlag Tokyo (2002).

2001

Makoto Katori and Norio Inui
Trajectories of two friendly walkers,
Transactions of the Materials Research Society of Japan,
26 [1] (2001) 405-407.
Norio Inui and Makoto Katori
Analysis of trajectories of random walkers on spatio-temporal plane,
Transactions of the Materials Research Society of Japan,
26 [1] (2001) 409-412.
Toshiro Takamatsu and Makoto Katori
On the Drossel-Schwabl limit in a forest fire model,
Transactions of the Materials Research Society of Japan,
26 [1] (2001) 401-404.[pdf.file]
Toshiro Takamatsu and Makoto Katori
Analysis of canopy-gap structures of forests by thermal equilibrium correlation equations,
Transactions of the Materials Research Society of Japan,
26 [1] (2001) 397-400.[pdf.file]
Norio Konno, Aidan Sudbury, Hideki Tanemura, and Makoto Katori
Dualities for discrete-time stochastic models in one dimension
Transactions of the Materials Research Society of Japan,
26 [1] (2001) 381-384.
Norio Konno, Shunichi Hayashi, Aidan Sudbury, Hideki Tanemura, and Makoto Katori
Bounds on the critical values of the one-dimensional diffusion contact process,
Transactions of the Materials Research Society of Japan,
26 [1] (2001) 385-388.
Shouki Kogure, Masahiro Sekine, Makoto Katori and Norio Konno
Dependence on direction for spatial distributions for pivotal bonds on percolation,
Transactions of the Materials Research Society of Japan,
26 [1] (2001) 369-372.
Norio Inui, Makoto Katori, and Faqir M. Bhatti
Low-density series expansion for the Domany-Kinzel model,
J. Phys. Soc. Japan 70 (2001) 359-366.
Norio Inui and Makoto Katori
Statistical properties of trajectories of friendly walkers on spatio-temporal plane,
J. Phys. Soc. Japan 70 (2001) 78-85.
Norio Inui and Makoto Katori
Fermi partition functions of friendly walkers and pair connectedness of directed percolation,
J. Phys. Soc. Japan 70 (2001) 1-4.