{"id":{"repo_id":"siu-theses","oai_identifier":"oai:opensiuc.lib.siu.edu:dissertations-1912"},"canonical_url":"https://search.dev.ndltd.org/etd/siu-theses/oai:opensiuc.lib.siu.edu:dissertations-1912","repository":{"repo_id":"siu-theses","name":"Southern Illinois University","base_url":"https://opensiuc.lib.siu.edu/do/oai/"},"display":{"title":"Renormalization and ∗-product of the Horseshoe maps","abstract":"<p>The aim of this paper is to find the renormalization and star-product of the horseshoe maps. And to prove that the star-product of two horseshoe admissible pairs is a horseshoe admissible pair. Then to find the relationship between the zeta function of the star-product of two L(n, m) admissible pairs and the zeta function of the originals.</p>","abstract_html":"&lt;p&gt;The aim of this paper is to find the renormalization and star-product of the horseshoe maps. And to prove that the star-product of two horseshoe admissible pairs is a horseshoe admissible pair. Then to find the relationship between the zeta function of the star-product of two L(n, m) admissible pairs and the zeta function of the originals.&lt;/p&gt;","abstract_has_math":false,"creators":["Almarri, Barakah Jaber"],"institution":null,"degree_name":"Doctor of Philosophy","degree_level":"Open Access Dissertation","degree_discipline":"Mathematics","degree_department":null,"school":null,"contributors":["Sullivan, Michael"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2014,"date_issued":"2014-08-01T07:00:00Z","date_published":"2014-08-01T07:00:00Z","updated_at":"2026-07-24T04:34:30Z","subjects":[],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://opensiuc.lib.siu.edu/dissertations/909","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Sullivan, Michael"]},{"key":"dc:creator","label":"Author","values":["Almarri, Barakah Jaber"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.available","label":"Dc Date Available","values":["2014-08-01T07:00:00Z"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Mathematics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Open Access Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Doctor of Philosophy"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://opensiuc.lib.siu.edu/dissertations/909"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["<p>The aim of this paper is to find the renormalization and star-product of the horseshoe maps. And to prove that the star-product of two horseshoe admissible pairs is a horseshoe admissible pair. Then to find the relationship between the zeta function of the star-product of two L(n, m) admissible pairs and the zeta function of the originals.</p>"]},{"key":"dc:title","label":"Title","values":["Renormalization and ∗-product of the Horseshoe maps"]}]}],"canonical_facts":{"dc:contributor":["Sullivan, Michael"],"dc:creator":["Almarri, Barakah Jaber"],"dc:date.available":["2014-08-01T07:00:00Z"],"dc:description.abstract":["<p>The aim of this paper is to find the renormalization and star-product of the horseshoe maps. And to prove that the star-product of two horseshoe admissible pairs is a horseshoe admissible pair. Then to find the relationship between the zeta function of the star-product of two L(n, m) admissible pairs and the zeta function of the originals.</p>"],"dc:identifier":["https://opensiuc.lib.siu.edu/dissertations/909"],"dc:title":["Renormalization and ∗-product of the Horseshoe maps"],"thesis:degree_discipline":["Mathematics"],"thesis:degree_level":["Open Access Dissertation"],"thesis:degree_name":["Doctor of Philosophy"]},"updated_at":"2026-07-24T04:34:30Z"}