Dynamical cocycles with values in the Artin braid group
By considering the way an n-tuple of points in the 2-disk are linked together under iteration of an orientation preserving diffeomorphism, we construct a dynamical cocycle with values in the Artin braid group. We study the asymptotic properties of this cocycle and derive a series of topological inva...
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creator | Gambaudo, Jean-Marc Pécou, Élisabeth E |
description | By considering the way an n-tuple of points in the 2-disk are linked together
under iteration of an orientation preserving diffeomorphism, we construct a
dynamical cocycle with values in the Artin braid group. We study the asymptotic
properties of this cocycle and derive a series of topological invariants for
the diffeomorphism which enjoy rich properties. |
doi_str_mv | 10.48550/arxiv.math/9704230 |
format | Article |
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under iteration of an orientation preserving diffeomorphism, we construct a
dynamical cocycle with values in the Artin braid group. We study the asymptotic
properties of this cocycle and derive a series of topological invariants for
the diffeomorphism which enjoy rich properties.</description><identifier>DOI: 10.48550/arxiv.math/9704230</identifier><language>eng</language><subject>Mathematics - Dynamical Systems</subject><creationdate>1997-04</creationdate><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,780,885</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/math/9704230$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.math/9704230$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Gambaudo, Jean-Marc</creatorcontrib><creatorcontrib>Pécou, Élisabeth E</creatorcontrib><title>Dynamical cocycles with values in the Artin braid group</title><description>By considering the way an n-tuple of points in the 2-disk are linked together
under iteration of an orientation preserving diffeomorphism, we construct a
dynamical cocycle with values in the Artin braid group. We study the asymptotic
properties of this cocycle and derive a series of topological invariants for
the diffeomorphism which enjoy rich properties.</description><subject>Mathematics - Dynamical Systems</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>1997</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotj8tuwjAURL3pAlG-gI37AYEbPwheIloeElI37KPr67ixlAAygZK_xzxWMyONRmcYG-cwUXOtYYrxFq6TFrt6agpQQsKAFd_9AdtA2HA6Uk9Ndeb_oav5FZtL8uHAu7rii9glZyMGx__i8XL6ZB8em3M1euuQ7Vc_--Um2_2ut8vFLsMih0xXDmYzkwslUJHVJrekCeaUogVJIIQnII9SeeesM84mLlIKpDepLIfs6zX7ZC9PMbQY-_LxoXx_kHfYu0Mi</recordid><startdate>19970414</startdate><enddate>19970414</enddate><creator>Gambaudo, Jean-Marc</creator><creator>Pécou, Élisabeth E</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>19970414</creationdate><title>Dynamical cocycles with values in the Artin braid group</title><author>Gambaudo, Jean-Marc ; Pécou, Élisabeth E</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a710-5ed06691242a4cb591bc5c08c2a4b03c022fc0cfa34fddbd9db042c4403f991b3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>1997</creationdate><topic>Mathematics - Dynamical Systems</topic><toplevel>online_resources</toplevel><creatorcontrib>Gambaudo, Jean-Marc</creatorcontrib><creatorcontrib>Pécou, Élisabeth E</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Gambaudo, Jean-Marc</au><au>Pécou, Élisabeth E</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Dynamical cocycles with values in the Artin braid group</atitle><date>1997-04-14</date><risdate>1997</risdate><abstract>By considering the way an n-tuple of points in the 2-disk are linked together
under iteration of an orientation preserving diffeomorphism, we construct a
dynamical cocycle with values in the Artin braid group. We study the asymptotic
properties of this cocycle and derive a series of topological invariants for
the diffeomorphism which enjoy rich properties.</abstract><doi>10.48550/arxiv.math/9704230</doi><oa>free_for_read</oa></addata></record> |
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subjects | Mathematics - Dynamical Systems |
title | Dynamical cocycles with values in the Artin braid group |
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