research_paper_06-10
研究
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論文(2006年〜2010年)
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2010
- Fumihito Sato, Makoto Katori,
- Iterative Schwarz-Christoffel Transformations Driven by Random Walks and Fractal Curves (cond-mat/1004.0183):
- Journal of the Institute of Science and Engineering. Chuo University 16 (2010) 1-20
- Naoki Kobayashi, Kaoru Kohyama, Kouichi Shiozawa,
- Fragmentation of a viscoelastic food by human mastication (cond-mat/1002.0404)
- J. Phys. Soc. Jpn. 79 (2010) 044801/1-4.
- Fumihito Sato, Makoto Katori,
- Dirac equation with ultraviolet cutoff and quantum walk (quant-ph/0910.4811)
- Phys. Rev. A 81 (2010) 012314/1-10.
- Makoto Katori and Hideki Tanemura,
- Non-equilibrium dynamics of Dyson’s model with an infinite number of particles (math.PR/0812.4108)
- Commun. Math. Phys. 293 (2010) 469-497.
2009
- Makoto Katori and Hideki Tanemura,
- Zeros of Airy function and relaxation process (math.PR/0906.3666)
- J. Stat. Phys. 136 (2009) 1177-1204
2008
- Naoki Kobayashi, Minami Izumi and Makoto Katori,
- Maximum distributions of bridges of noncolliding Brownian paths (cond-mat/0808.3635)
- Phys. Rev. E 78 (2008) 051102/1-15
- Kyohei Watabe, Naoki Kobayashi, Makoto Katori and Norio Konno,
- Limit distributions of two-dimensional quantum walks(quant-ph/0802.2749)
- Phys. Rev. A 77 (2008) 062331/1-9 [pdf.file]
- Mitsunori Sato, Naoki Kobayashi, Makoto Katori and Norio Konno,
- Large qudit limit of one-dimensional quantum walks (quant-ph/0802.1997)
- Makoto Katori, Minami Izumi and Naoki Kobayashi,
- Two Bessel Bridges Conditioned Never to Collide, Double Dirichlet Series, and Jacobi Theta Function (math.PR/0711.1710)
- J. Stat. Phys. 131 (2008) 1067-1083
2007
- Makoto Katori and Hideki Tanemura,
- Noncolliding Brownian motion and determinantal processes (math.PR/0705.2460)
- J. Stat. Phys. 129 (2007) 1233-1277 [pdf.file]
- Takahiro Miyazaki, Makoto Katori and Norio Konno,
- Wigner formula of rotation matrices and quantum walks (quant-ph/0611022)
- Phys. Rev. A 76 (2007) 012332/1-14 [pdf.file]
- Makoto Katori and Hideki Tanemura
- Infinite systems of non-colliding generalized meanders and Riemann-Liouville differintegrals (math.PR/0506187)
- Probability Theory and Related Fields 138 (2007) 113-156 [pdf.file]