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Spectral gap in the group of affine transformations over prime fields

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cam.issuedOnline2016-11-13
dc.contributor.authorLindenstrauss, E
dc.contributor.authorVarju, PP
dc.date.accessioned2016-12-05T10:33:34Z
dc.date.available2016-12-05T10:33:34Z
dc.date.issued2016-11-01
dc.description.abstractWe study random walks on the groups $\Bbb F^d_p \rtimes$ SL$_d$($\Bbb F_p$). We estimate the spectral gap in terms of the spectral gap of the projection to the linear part SL$_d$($\Bbb F_p$). This problem is motivated by an analogue in the group $\Bbb R^d \rtimes$ SO($d$), which have application to smoothness of self-similar measures.
dc.description.sponsorshipEuropean Research Council (Advanced Research Grant ID: 267259), ISF (grant ID: 983/09), Simons Foundation
dc.identifier.doi10.17863/CAM.6612
dc.identifier.eissn2258-7519
dc.identifier.issn0240-2963
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/261424
dc.language.isoeng
dc.publisherUniversity of Toulouse
dc.publisher.urlhttp://afst.cedram.org/item?id=AFST_2016_6_25_5_969_0
dc.subjectmath.GR
dc.subjectmath.GR
dc.subjectmath.CA
dc.subjectmath.CO
dc.titleSpectral gap in the group of affine transformations over prime fields
dc.typeArticle
dcterms.dateAccepted2015-11-24
prism.endingPage993
prism.issueIdentifier5
prism.publicationDate2016
prism.publicationNameAnnales de la Faculte des Sciences de Toulouse
prism.startingPage969
prism.volume25
rioxxterms.licenseref.startdate2016-11-01
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserved
rioxxterms.typeJournal Article/Review
rioxxterms.versionAM
rioxxterms.versionofrecord10.5802/afst.1518

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