SubShift
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- A subshift is a pair (X;˙) where X is a closed and ˙-invariant subset of some AZ. To conserve notation, we will often refer to the subshift (X;˙) as simply X. A subshift Xis transitive if there exists x2Xsuch that X= O(x), the closure of the orbit O(x) = f˙n(x): n2Zg. We call such a point x2Xa transitive point. If X = O(x) for every x2X, then.
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Django download mac. Subshift shift file.srt 1000 2000 This will shift the first subtitle with 1 second and the last with 2 seconds, it will distribute the delays in between in a linear fashion.
By a minimal 0–1 subshift we mean a pair (X, S), where S denotes the left shift on C={0, 1}z and X is a minimal compact S-invariant subset of C. Developing some of the methods of Williams [2] of obtaining not uniquely ergodic minimal subshifts we construct such a subshift, for which the set of all ergodic measures is noncompact for the weak* topology. In other words, the Choquet simplex of all invariant measures of the subshift is not a Bauer simplex.
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Subshifter
| dc.contributor.author | Sattler, Elizabeth | |
| dc.description.abstract | In this thesis, a subfractal is the subset of points in the attractor of an iterated functionsystem in which every point in the subfractal is associated with an allowable word from a subshifton the underlying symbolic space. In the case in which (1) the subshift is a subshift of nitetype with an irreducible adjacency matrix, (2) the iterated function system satis es the open setcondition, and (3) contractive bounds exist for each map in the iterated function system, we ndbounds for both the Hausdor and box dimensions of the subfractal, where the bounds depend bothon the adjacency matrix and the contractive bounds on the maps. We extend this result to so csubshifts, a more general subshift than a subshift of nite type, and to allow the adjacency matrixto be reducible. The structure of a subfractal naturally de nes a measure on Rn. For an iteratedfunction system which satis es the open set condition and in which the maps are similitudes, we construct an invariant measure supported on a subfractal induced by a subshift of nite type. Forthis speci c measure, we calculate the local dimension for almost every point, and hence calculate the Hausdor dimension for the measure. | en_US |
| dc.publisher | North Dakota State University | en_US |
| dc.rights | NDSU Policy 190.6.2 | |
| dc.title | Subfractals Induced by Subshifts | en_US |
| dc.type | text/dissertation | en_US |
| dc.type | movingimage/video | en_US |
| dc.date.accessioned | 2016-06-06T13:52:08Z | |
| dc.date.available | 2016-06-06T13:52:08Z | |
| dc.date.issued | 2016 | |
| dc.identifier.uri | http://hdl.handle.net/10365/25660 | |
| dc.description.sponsorship | ND-EPSCoR | |
| dc.rights.uri | https://www.ndsu.edu/fileadmin/policy/190.pdf | |
| ndsu.degree | Doctor of Philosophy (PhD) | |
| ndsu.college | College of Science and Mathematics | |
| ndsu.department | Mathematics | |
| ndsu.program | Mathematics | |
| ndsu.advisor | Çömez, Doğan |