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DC Field | Value | Language |
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dc.citation.endPage | 407 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 365 | - |
dc.citation.title | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | - |
dc.citation.volume | 369 | - |
dc.contributor.author | Yun, Aaram | - |
dc.date.accessioned | 2023-12-21T22:47:26Z | - |
dc.date.available | 2023-12-21T22:47:26Z | - |
dc.date.created | 2016-05-05 | - |
dc.date.issued | 2017-01 | - |
dc.description.abstract | In this paper, we construct a discrete Zariski-dense subgroup Gamma of SL(n+1, R) whose limit set on P-n is 'thin', that is, contained in a C-N-smooth curve, for any n >= 3 and N > 0. We achieve this by applying the ping-pong lemma to the action of a specially chosen generating set S on the N-th order jet bundle over P-n. We also show that in a sense this is the best possible result: we show that there does not exist any Zariski-dense subgroup Gamma subset of SL(3, R) whose limit set is contained in a C-2-smooth curve, and there does not exist any Zariski-dense subgroup Gamma subset of SL(n+1, R) whose limit set is contained in a C-infinity-smooth curve.e. |
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dc.identifier.bibliographicCitation | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, v.369, no.1, pp.365 - 407 | - |
dc.identifier.doi | 10.1090/tran/6753 | - |
dc.identifier.issn | 0002-9947 | - |
dc.identifier.scopusid | 2-s2.0-84992047540 | - |
dc.identifier.uri | https://scholarworks.unist.ac.kr/handle/201301/19169 | - |
dc.identifier.url | http://www.ams.org/journals/tran/0000-000-00/S0002-9947-2016-06753-7/ | - |
dc.identifier.wosid | 000388665100012 | - |
dc.language | 영어 | - |
dc.publisher | AMER MATHEMATICAL SOC | - |
dc.title | Discrete subgroups of the special linear group with thin limit sets | - |
dc.type | Article | - |
dc.description.isOpenAccess | FALSE | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.subject.keywordPlus | RANDOM MATRICES | - |
dc.subject.keywordPlus | PRODUCT | - |
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