個人簡介
薛玉梅 ,北京航空航天大學數學與系統科學學院教授。
教育背景
1998年4月-2000年3月,日本大阪市立大學,獲理學碩士學位;
2000年4月-2003年3月,日本大阪市立大學,獲理學博士學位;
工作簡歷
2004年5月-2006年6月,清華大學數學系,博士後;
2006年7月-至今,北航數學與系統科學學院,任教;
2012年2月-2013年2月,日本大阪市立大學,訪問學者。。
部分發表論文
[1] Kamae,T and Yu-Mei,X.,Two dimensional word with 2k maximal pattern complexity, Osaka J. Math 41:2(2004), 257-265.
[2] N.Gjini,T. Kamae, B. Tan,Y-M. Xue, Maximal pattern complexity for Toeplitz words, Ergodic Theory and Dynamic Systems 26(2006), 1073-1086.
[3] T. Kamae, H.Rao, B. Tan,Y-M. Xue, Language Structure of Pattern Sturmian Words, Discrete Math 306(2006), 1651-1668.
[4] T. Kamae ,H.Rao,Y-M. Xue, Maximal pattern complexity of two-dimensional words, Theoretical Computer Science 359(2006), 15-27.
[5] H.Rao and Y.M. Xue,Tile Z^2 with translations of one set, Discrete Math. Theor. Comput. Sci. 8(2006), 129--140.
[6] Y-M. Xue and T. Kamae, Partitions by congruent sets and optimal positions, Ergod. Th. & Dynam. Sys. (2011), 31, 613–629.
[7] T. Kamae, H.Rao, B. Tan,Y-M. Xue, Super-stationary set, Subword problem and
the Complexity,Discrete Math 309(2009), 4417-442.
[8] Y-H.Qu, H.Rao, Z-Y.Wen, Y-M. Xue, Maximal pattern complexity of higher dimensioal words,J.combin.Theory ser.A,117:5(2010),489-506.
[9] Y-M. Xue and L-N.Li ,Tile digit sets of integral self-affine tilings,Chinese Journal of Engineering Mathematics, 27:6(2010)1129-1132.
[10] Y-M.Xue and X.Zhang, Discontinuity of dimension on parameters for a class of homogeneous Moran sets, Acta Mathematicae Applicatae Sinaca,34:1(2011),149-153.
[11 ] Xue, Yu-Mei; Kamae, Teturo Maximal pattern complexity, dual system and pattern recognition. Theoret. Comput. Sci. 457 (2012), 166–173.
[12]Xue, YuMei; Kamae, Teturo Hausdorff dimension of Moran sets with increasing spacing. Sci. China Math. 56 (2013), no. 3, 553–560.
[13]Xue, Yu-Mei; Kamae, Teturo Multifractal analysis for a class of homogeneous Moran constructions. Chaos Solitons Fractals 53 (2013), 52–59.
[14]Xue, Yu-Mei; Kamae, Teturo Local time of self-affine sets of Brownian motion type and the jigsaw puzzle problem. J. Math. Anal. Appl. 419 (2014), no. 1, 79–93.
[15]Li, Ya; Xue, Yumei Dynamical behavior of a food chain model with prey toxicity.Appl. Math. Comput. 242 (2014), 551–561.
[16]Kamae, Teturo; Xue, Yu-Mei An easy criterion for randomness. Sankhya A 77(2015), no. 1, 126–152.
[17]Xue, Yu-Mei; Li, La-na Digit sets for self-similar tiles. Acta Math. Appl. Sin. Engl. Ser. 31 (2015), no. 2, 493–498.
[18]Xue, Yu-Mei; Kamae, Teturo Local time of self-affine sets of Brownian motion type—revisited. J. Math. Anal. Appl. 437 (2016), no. 1, 638–644.
[19]Xue, Yu-Mei; Kamae, Teturo Hölder equivalence of homogeneous Moran sets.Publ. Math. Debrecen 89 (2016), no. 1-2, 233–242.
所獲獎勵
評為北航第九屆“我愛我師”十佳優秀教師、獲校研究生教學成果一等獎,本科生教學成果一等獎,二等獎以及校工會先進個人等10多項榮譽。
教學方面
主講課程:數學分析,工科數學分析,遍歷論。
教改:主編工信部”十二五”規劃教材《微積分》;主持和參加省部級、校重大、重點教改等10餘項項目;作為骨幹成員參加編寫北京市精品教材、國家“十二五”規劃教材《工科數學分析》及其系列講座教材;
指導本科生獲馮如杯獲三等獎、美國數學建模特等獎提名獎1組(同年北航唯一1項),1等獎以及二等獎等,發表數篇論文。