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基礎理工学科について>研究室紹介>竹居正登のページ>論文リスト
Takei, M. and Takeshima, M. (2008). Phase diagram for once-reinforced random walks on trees with exponential weighting scheme, Statistics and Probability Letters, 78, 3000--3007.
(ScienceDirect)
Sugimine, N. and Takei, M. (2007). On the traversable length inside semi-cylinder in 2d supercritical bond percolation, J. Math. Kyoto Univ., 47, 153--167.
(Project Euclid)
Takei, M. (2006). A note on anisotropic first-passage percolation, J. Math. Kyoto Univ., 46, 903--912,
(Project Euclid)
Sugimine, N. and Takei, M. (2006). Remarks on central limit theorems for the number of percolation clusters, Publ. RIMS, 42, 101--116.
(EMS publishing house)
Higuchi, Y. and Takei, M. (2004). Some results on the phase structure of two-dimensional Widom-Rowlinson model, Osaka J. Math., 41, 237--255.
(Project Euclidよりダウンロード可能)
竹居正登,今野紀雄.(2008). 複雑ネットワーク上の確率モデル,日本ロボット学会誌, 26-1, 10--14.
(特集「複雑ネットワークとロボティクス」目次)
竹居正登.(2007). ファーストパッセージパーコレーション入門,第3回生物数学の理論とその応用,数理解析研究所講究録, 1551, 69--74.
(京都大学学術情報リポジトリ 紅(くれなゐ)よりダウンロード可能)
Takei, M. (2007). AB percolation, The COE Seminar on Mathematical Sciences 2005, Seminar on Mathematical Sciences, 36, 49--74, Keio University.
Takei, M. (2005). Limit theorems for percolation, Doctoral dissertation, Kobe University.
(神戸大学附属図書館 デジタルアーカイブよりダウンロード可能)
Higuchi, Y., Takei, M., and Zhang, Y. ; Scaling relations in two-dimensional Ising percolation, in preparation.
Higuchi, Y., Takei, M., and Zhang, Y. ; Basic techniques in two-dimensional critical Ising percolation with investigation of scaling relations, preprint, arXiv:1010.1586
Takei, M. ; Some remarks on supercritical behaviors in first-passage percolation, preprint.
Takei, M. ; Another proof of the martingale convergence theorem, preprint.
Keane, M. and Takei, M. ; Percolation in lattices with large holes, Research Report KSTS/RR-07/006, Department of Mathematics, Faculty of Science and Technology, Keio University.
(慶應義塾大学理工学部数理科学科のサイトよりダウンロード可能)