Browse

On sofic-like shifts and flips

Cited 0 time in Web of Science Cited 0 time in Scopus
Authors
최혜경
Advisor
김영원
Major
자연과학대학 수리과학부
Issue Date
2015-08
Publisher
서울대학교 대학원
Keywords
sofic shiftflipcoded systemalmost sofic shift
Description
학위논문 (박사)-- 서울대학교 대학원 : 수리과학부, 2015. 8. 김영원.
Abstract
We study generalizations of the notion of sofic shifts and the existence of flips for a shift space.
Coded systems and almost sofic shifts generalize sofic shifts in terms of density of periodic points and entropies, respectively.
An irreducible sofic shift is both coded and almost sofic.
We investigate which properties of irreducible sofic shifts are extended to coded systems and almost sofic shifts.


We also study which shift-flip systems have infinitely many non-conjugate flips.
We prove that if an infinite synchronized system has a flip,
then there are countably many non-conjugate flips.
However, this property can not be extended to coded systems.
We construct a coded system which has only two non-conjugate flips.
Language
English
URI
https://hdl.handle.net/10371/121293
Files in This Item:
Appears in Collections:
College of Natural Sciences (자연과학대학)Dept. of Mathematical Sciences (수리과학부)Theses (Ph.D. / Sc.D._수리과학부)
  • mendeley

Items in S-Space are protected by copyright, with all rights reserved, unless otherwise indicated.

Browse