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	On cutting sequences of the L-shaped translation surface tiled by three squares
	Wu ShengJian ; Zhong YuMin
	2015
关键词	translation surfaces affine automorphisms cutting sequences STURMIAN SEQUENCES REGULAR OCTAGON
英文摘要	We consider a symbolic coding of bi-infinite non periodic geodesics on the L-shaped translation surface tiled by three squares. Each bi-infinite non periodic geodesic is associated with a cutting sequence corresponding to the sequence of labeled saddle connections hit. We prove that there is a relationship between the cutting sequences and the actions of some affine automorphisms of the translation surface. We also get an explicit formula to determine the direction of a bi-infinite non periodic geodesic by using the corresponding cutting sequence.; National Natural Science Foundation of China [11371035]; SCI(E); 中国科学引文数据库(CSCD); ARTICLE; wusj@math.pku.edu.cn; zhongym@pku.edu.cn; 6; 1311-1326; 58
语种	英语
出处	SCI ; CSCD ; 知网
出版者	SCIENCE CHINA-MATHEMATICS
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/414900]
专题	数学科学学院
推荐引用方式 GB/T 7714	Wu ShengJian,Zhong YuMin. On cutting sequences of the L-shaped translation surface tiled by three squares. 2015-01-01.

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