On Reversible Topological Markov Shifts = 가역성 마르코프 천이공간에 대한 연구

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A reversal system is a topological Markov shift $(X,\sigma)$ with an automorphism of $X$ (called a reversal) intertwining $\sigma$ and $\sigma^{-1}$. Two reversal systems are said to be conjugate if there is a topological conjugacy between their underlying topological Markov shifts that intertwines the reversals. We give an equivalent condition for a topological conjugacy between the underlying shifts of two reversal systems to be a conjugacy between the reversal systems. Also we show that the class of reversal systems satisfies an analogue of the decomposition theorem in the class of topological Markov shifts.
Advisors
Shin, Su-jinresearcher신수진researcher
Description
한국과학기술원 : 수리과학과,
Publisher
한국과학기술원
Issue Date
2008
Identifier
296226/325007  / 020063172
Language
eng
Description

학위논문(석사) - 한국과학기술원 : 수리과학과, 2008.2, [ iii, 16 p. ]

Keywords

reversible; topological Markov shift; reversal system; 가역의; 마르코프 천이공간; reversible; topological Markov shift; reversal system; 가역의; 마르코프 천이공간

URI
http://hdl.handle.net/10203/42179
Link
http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=296226&flag=dissertation
Appears in Collection
MA-Theses_Master(석사논문)
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