Minimality and the Rauzy - Veech algorithm for interval exchange transformations with flips
Oriented interval exchange transformations (i.e.t.s) admitting infinite orbit of the Rauzy-Veech operator are minimal. In this paper, we analyse what happens for non-oriented i.e.t.s. In particular, we prove an analogous result for i.e.t.s with flips (Theorem A). We also show that the behaviour of i...
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| Veröffentlicht in: | Dynamical systems (London, England) England), 2013-12, Vol.28 (4), p.539-550 |
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| creator | Hernandez, Carlos Angosto Lopez, Gabriel Soler |
| description | Oriented interval exchange transformations (i.e.t.s) admitting infinite orbit of the Rauzy-Veech operator are minimal. In this paper, we analyse what happens for non-oriented i.e.t.s. In particular, we prove an analogous result for i.e.t.s with flips (Theorem A). We also show that the behaviour of i.e.t.s with flips is different to the one of oriented i.e.t.s, see Proposition 11. |
| doi_str_mv | 10.1080/14689367.2013.824950 |
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We also show that the behaviour of i.e.t.s with flips is different to the one of oriented i.e.t.s, see Proposition 11.</description><subject>Algorithms</subject><subject>Dynamical systems</subject><subject>flip</subject><subject>interval exchange transformation</subject><subject>Intervals</subject><subject>Keane-condition</subject><subject>minimality</subject><subject>Operators</subject><subject>orbit</subject><subject>Orbits</subject><subject>Primary 37E05</subject><subject>Rauzy-Veech algorithm</subject><subject>Secondary 37Bxx</subject><subject>Theorems</subject><subject>Transformations</subject><issn>1468-9367</issn><issn>1468-9375</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2013</creationdate><recordtype>article</recordtype><recordid>eNp9kM1OxCAUhYnRxHH0DVywdNMRCi2wMsb4l4wxMerGBWEonWJoGYFxrE9vx6pLV_fm3nNO8h0AjjGaYcTRKaYlF6RksxxhMuM5FQXaAZPtOROEFbt_e8n2wUGMrwhhRjGbgJc729lWOZt6qLoKpsbAB7X-7GEGn43RDVRu6YNNTQtrH6DtkgnvykHzoRvVLQ1MQXVxeLUqWd9FuBm0sHZ2FQ_BXq1cNEc_cwqeri4fL26y-f317cX5PNOEopQZgepKkEIIYTjHguRGGaYX1OCSMEVLrCnVJF-QkitdMaW5poQrwtACM16TKTgZc1fBv61NTLK1URvnVGf8OsqBnRaCkwINUjpKdfAxBlPLVRjwQy8xktsu5W-XctulHLscbGejzXbfpBsfXCWT6p0P9cCvbZTk34Qv2cR7ow</recordid><startdate>20131201</startdate><enddate>20131201</enddate><creator>Hernandez, Carlos Angosto</creator><creator>Lopez, Gabriel Soler</creator><general>Taylor & Francis Group</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JQ2</scope><scope>KR7</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope></search><sort><creationdate>20131201</creationdate><title>Minimality and the Rauzy - Veech algorithm for interval exchange transformations with flips</title><author>Hernandez, Carlos Angosto ; Lopez, Gabriel Soler</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c340t-e90fd935999e881932eae7cb4e1637a461c44c32b368acd7ac8c438a370b178f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2013</creationdate><topic>Algorithms</topic><topic>Dynamical systems</topic><topic>flip</topic><topic>interval exchange transformation</topic><topic>Intervals</topic><topic>Keane-condition</topic><topic>minimality</topic><topic>Operators</topic><topic>orbit</topic><topic>Orbits</topic><topic>Primary 37E05</topic><topic>Rauzy-Veech algorithm</topic><topic>Secondary 37Bxx</topic><topic>Theorems</topic><topic>Transformations</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Hernandez, Carlos Angosto</creatorcontrib><creatorcontrib>Lopez, Gabriel Soler</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>Dynamical systems (London, England)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Hernandez, Carlos Angosto</au><au>Lopez, Gabriel Soler</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Minimality and the Rauzy - Veech algorithm for interval exchange transformations with flips</atitle><jtitle>Dynamical systems (London, England)</jtitle><date>2013-12-01</date><risdate>2013</risdate><volume>28</volume><issue>4</issue><spage>539</spage><epage>550</epage><pages>539-550</pages><issn>1468-9367</issn><eissn>1468-9375</eissn><abstract>Oriented interval exchange transformations (i.e.t.s) admitting infinite orbit of the Rauzy-Veech operator are minimal. In this paper, we analyse what happens for non-oriented i.e.t.s. In particular, we prove an analogous result for i.e.t.s with flips (Theorem A). We also show that the behaviour of i.e.t.s with flips is different to the one of oriented i.e.t.s, see Proposition 11.</abstract><pub>Taylor & Francis Group</pub><doi>10.1080/14689367.2013.824950</doi><tpages>12</tpages></addata></record> |
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| subjects | Algorithms Dynamical systems flip interval exchange transformation Intervals Keane-condition minimality Operators orbit Orbits Primary 37E05 Rauzy-Veech algorithm Secondary 37Bxx Theorems Transformations |
| title | Minimality and the Rauzy - Veech algorithm for interval exchange transformations with flips |
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