The large scale geometry of strongly aperiodic subshifts of finite type

Simple item page
dc.contributor.advisorPutman, Thomas Andrewen_US
dc.contributor.committeeMemberCox, Steven Jen_US
dc.contributor.committeeMemberVeech, William Aen_US
dc.creatorCohen, David Bruceen_US
dc.date.accessioned2016-01-07T17:18:55Zen_US
dc.date.available2016-01-07T17:18:55Zen_US
dc.date.created2015-05en_US
dc.date.issued2015-04-22en_US
dc.date.submittedMay 2015en_US
dc.date.updated2016-01-07T17:18:55Zen_US
dc.description.abstractA subshift on a group G is a closed, G-invariant subset of A to the G, for some finite set A. It is said to be of finite type if it is defined by a finite collection of “forbidden patterns” and to be strongly aperiodic if it has no points fixed by a nontrivial element of the group. We show that if G has at least two ends, then there are no strongly aperiodic subshifts of finite type on G (as was previously known for free groups). Additionally, we show that among torsion free, finitely presented groups, the property of having a strongly aperiodic subshift of finite type is invariant under quasi isometry.en_US
dc.format.mimetypeapplication/pdfen_US
dc.identifier.citationCohen, David Bruce. "The large scale geometry of strongly aperiodic subshifts of finite type." (2015) Diss., Rice University. <a href="https://hdl.handle.net/1911/87754">https://hdl.handle.net/1911/87754</a>.en_US
dc.identifier.urihttps://hdl.handle.net/1911/87754en_US
dc.language.isoengen_US
dc.rightsCopyright is held by the author, unless otherwise indicated. Permission to reuse, publish, or reproduce the work beyond the bounds of fair use or other exemptions to copyright law must be obtained from the copyright holder.en_US
dc.subjectgeometric group theoryen_US
dc.subjectsymbolic dynamicsen_US
dc.titleThe large scale geometry of strongly aperiodic subshifts of finite typeen_US
dc.typeThesisen_US
dc.type.materialTexten_US
thesis.degree.departmentMathematicsen_US
thesis.degree.disciplineNatural Sciencesen_US
thesis.degree.grantorRice Universityen_US
thesis.degree.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophyen_US
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
COHEN-DOCUMENT-2015.pdf
Size:
375.27 KB
Format:
Adobe Portable Document Format
Download
License bundle
Now showing 1 - 2 of 2
No Thumbnail Available
Name:
PROQUEST_LICENSE.txt
Size:
5.84 KB
Format:
Plain Text
Description:
Download
No Thumbnail Available
Name:
LICENSE.txt
Size:
2.6 KB
Format:
Plain Text
Description:
Download
Collections
Rice University Theses and Dissertations