Sunshift
| 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 |
Subshifter V0.3 Download
The sturmian subshift associated with is. Exercise: Prove that is a subshift. Morse-Hedlund Theorem: A subshift is infinite iff for every. Curtis-Hedlund-Lyndon Theorem: Let and be subshifts. Any continuous function that is equivariant is of the form for some. A rank‐one subshift with bounded spacer parameter is a minimal dynamical system. A rank‐one subshift with unbounded spacer parameter has exactly one fixed point 1 Z. 2.3 Some basic facts. We identify some specific elements in a rank‐one subshift. A subshift is a closed subset of a full shift AZ which is invariant under the shift action, which is a compact space with the induced topology from AZ. The single shift ˙:= ˙1 is an automorphism on any subshift, and so for any subshift X, (X;˙) is a topological dynamical system.
- 292 likes 26 talking about this. SUBSHIFT is a DJ/Producer from Worcester, England. He experiments with his sound but spends the majority of his time producing a hybrid of Bass and Tech.
- A rank‐one subshift with bounded spacer parameter is a minimal dynamical system. A rank‐one subshift with unbounded spacer parameter has exactly one fixed point 1 Z. 2.3 Some basic facts. We identify some specific elements in a rank‐one subshift.