劉妍岩

劉妍岩,教授,武漢大學理學博士,主要研究方向機率論與數理統計、分形幾何。目前主持國家自然科學基金(青年)《變尺度隨機分形結構的理論及套用》一項。先後到香港中文大學、德國Greifswald 大學訪問。1997年參加的研究項目《軟體可靠性專家系統》(第5完成人)獲國家教委科技進步三等獎。

基本信息

主講課程

高等數學、機率論與數理統計、數理統計、多元統計分析、統計計算與統計軟體等。

代表論文

(with Wen Zhi-Ying, Wu Jun)Generalized random recursive constructions and geometric properties of random fractals, to appear in Math. Nachr.

(with Zhang Xiao Qun) The regulity of random graph directed self-similar sets, Acta Math. Sci.(English Ed.) Vol.23, No.4, 2003.

(with Wu Jun) Dimensions for random self-conformal sets, Math. Nachr. Vol. 250, 71-81, 2003.

(with Wu Jun) Some exceptional sets in Engel expansions, Nonlinearity, Vol 16, No.2, 559-566, 2003.

A Dimesional result for random self- similar sets,Proc. Amer. Math. Soc. Vol.130, 2125-2131, 2002.

A central limit theorem of Branching process with mixing interactions, Wuhan Univ. J. Natur. Sci., Vol.7,No.3, 253-378 Set.2002.

A function whose graph is of dimension 1 and has locally an infinite one-dimensional Hausdorff measure, C. R. Acad. Sci. Paris, Ser'ie 1, 19-23,2001.

The individual behaviors of long-time-dependent walk, J.Math.(China)21(2), 133-136,2001.

(with Wu Jun) Hausdorff dimensions in Engel expansions, Acta. Arith.Vol.99, No.1, 79-83, 2001.

The Hausdorff dimension of graph quasi-every one dimensional Brownian path, J. Wuhan Univ.(Natural Science Edition),Vol.43, No.5,581-586, Oct.1997.

(with Wu Jun) Convergence of set valued function under conditional expectation, Banach Theory and its Applications, 194-196,1996.

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