{"id":{"repo_id":"uiuc","oai_identifier":"oai:www.ideals.illinois.edu:2142/25280"},"canonical_url":"https://search.dev.ndltd.org/etd/uiuc/oai:www.ideals.illinois.edu:2142/25280","repository":{"repo_id":"uiuc","name":"University of Illinois - Urbana-Champaign","base_url":"https://www.ideals.illinois.edu/oai-pmh"},"display":{"title":"The Billiard problem","abstract":"Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-06-06T14:31:27Z No. of bitstreams: 1 1985_friedman.pdf: 2886336 bytes, checksum: acbf489631db3b034fef2d07a0005622 (MD5)","abstract_html":"Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-06-06T14:31:27Z No. of bitstreams: 1 1985_friedman.pdf: 2886336 bytes, checksum: acbf489631db3b034fef2d07a0005622 (MD5)","abstract_has_math":false,"creators":["Friedman, Barry Alan"],"institution":null,"degree_name":"Ph.D.","degree_level":"Dissertation","degree_discipline":"Physics","degree_department":null,"school":null,"contributors":["Oono, Yoshitsugu"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2011,"date_issued":"2011-06-06T14:31:27Z","date_published":"2011-06-06T14:31:27Z","updated_at":"2026-07-22T22:25:24Z","subjects":["billiard problem","statistical behavior","Kolmogorov-Sinai entropy","ergodic properties"],"languages":["en"],"rights":["1985 Barry Alan Friedman"],"rights_urls":[],"identifier_entries":[{"key":"dc:identifier","label":"Identifier","values":["864919"],"render_values":[{"text":"864919","href":null,"code":true}]}]},"links":{"outbound_url":"http://hdl.handle.net/2142/25280","outbound_label":"Handle","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Oono, Yoshitsugu"]},{"key":"dc:creator","label":"Author","values":["Friedman, Barry Alan"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date","label":"Dc Date","values":["2011-06-06T14:31:27Z","10000-01-01","1985"]},{"key":"dc:type","label":"Dc Type","values":["Dissertation / Thesis","text","other"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Physics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Dissertation"]},{"key":"thesis:degree_name","label":"Degree Name","values":["Ph.D."]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["billiard problem","statistical behavior","Kolmogorov-Sinai entropy","ergodic properties"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["en"]},{"key":"dc:rights","label":"Dc Rights","values":["1985 Barry Alan Friedman"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["864919","http://hdl.handle.net/2142/25280"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description","label":"Description","values":["Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-06-06T14:31:27Z No. of bitstreams: 1 1985_friedman.pdf: 2886336 bytes, checksum: acbf489631db3b034fef2d07a0005622 (MD5)","Made available in DSpace on 2011-06-06T14:31:27Z (GMT). No. of bitstreams: 1 1985_friedman.pdf: 2886336 bytes, checksum: acbf489631db3b034fef2d07a0005622 (MD5) Previous issue date: 1985","Restriction data tranferred 2014-07-01T11:09:24-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-06-06T14:31:27Z Item is restricted indefinitely.","Thesis","U of I Only"]},{"key":"dc:title","label":"Title","values":["The Billiard problem"]}]}],"canonical_facts":{"dc:contributor":["Oono, Yoshitsugu"],"dc:creator":["Friedman, Barry Alan"],"dc:date":["2011-06-06T14:31:27Z","10000-01-01","1985"],"dc:description":["Submitted by Carolyn Mead (cmead2@illinois.edu) on 2011-06-06T14:31:27Z No. of bitstreams: 1 1985_friedman.pdf: 2886336 bytes, checksum: acbf489631db3b034fef2d07a0005622 (MD5)","Made available in DSpace on 2011-06-06T14:31:27Z (GMT). No. of bitstreams: 1 1985_friedman.pdf: 2886336 bytes, checksum: acbf489631db3b034fef2d07a0005622 (MD5) Previous issue date: 1985","Restriction data tranferred 2014-07-01T11:09:24-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: Thesis","Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Carolyn Mead (cmead2@illinois.edu) on 2011-06-06T14:31:27Z Item is restricted indefinitely.","Thesis","U of I Only"],"dc:identifier":["864919","http://hdl.handle.net/2142/25280"],"dc:language":["en"],"dc:rights":["1985 Barry Alan Friedman"],"dc:subject":["billiard problem","statistical behavior","Kolmogorov-Sinai entropy","ergodic properties"],"dc:title":["The Billiard problem"],"dc:type":["Dissertation / Thesis","text","other"],"thesis:degree_discipline":["Physics"],"thesis:degree_level":["Dissertation"],"thesis:degree_name":["Ph.D."]},"updated_at":"2026-07-22T22:25:24Z"}