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Spectral gap in the group of affine transformations over prime fields

dc.creatorLindenstrauss, E
dc.creatorVarju, Peter Pal
dc.date.accessioned2015-11-24
dc.date.accessioned2018-11-24T23:26:58Z
dc.date.available2016-12-05T10:33:34Z
dc.date.available2018-11-24T23:26:58Z
dc.date.issued2016-11-01
dc.identifierhttps://www.repository.cam.ac.uk/handle/1810/261424
dc.identifier.urihttp://repository.aust.edu.ng/xmlui/handle/123456789/3924
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.languageen
dc.publisherUniversity of Toulouse
dc.publisherAnnales de la Faculte des Sciences de Toulouse
dc.publisherhttp://afst.cedram.org/item?id=AFST_2016_6_25_5_969_0
dc.titleSpectral gap in the group of affine transformations over prime fields
dc.typeArticle


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