(The) first return time in polygonal billiards = 다각형 당구 변환의 최초 회귀 시간

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We consider a polygonal billiards map T. Let R$_n be the first return time of T to the ball of radius 2$^{-n}$ centered at an initial point. Kac``s lemma is the well known fact which relates to the first return time. In this work, we show, roughly, that (log$_2 R$_n)/n converges to 1 in case of the typical triangle and confirm this by computer simulations. We also find the average of (log$_2 R$_n)/n which is related to L$^1-convergence. We expect that they hold for general polygons.
Advisors
Choe, Geon-Horesearcher최건호researcher
Description
한국과학기술원 : 수학전공,
Publisher
한국과학기술원
Issue Date
2005
Identifier
243529/325007  / 020033578
Language
eng
Description

학위논문(석사) - 한국과학기술원 : 수학전공, 2005.2, [ v, 17 p. ]

Keywords

Sialyltransferase; Galactosyltransferase; polygonal billiardsWnt/b-catenin pathwayosylation; DEAE Chromatography; DEAE 크로마토그래피; 시알산 전이효소; 갈락토오스 전이효소; 다각형 당구 변환t/b-catenin 경로; 2-D HPLCnjugation

URI
http://hdl.handle.net/10203/42119
Link
http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=243529&flag=dissertation
Appears in Collection
MA-Theses_Master(석사논문)
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