Spectral gap in the group of affine transformations over prime fields

Lindenstrauss, E; Varju, PP

Spectral gap in the group of affine transformations over prime fields

Authors

Lindenstrauss, E

Varju, PP

DOI

https://doi.org/10.5802/afst.1518

Files

Accepted version (448.71 KB)

Type

Article

Abstract

We study random walks on the groups $Fpd⋊$ SL $d$ ( $Fp$ ). We estimate the spectral gap in terms of the spectral gap of the projection to the linear part SL $d$ ( $Fp$ ). This problem is motivated by an analogue in the group $Rd⋊$ SO( $d$ ), which have application to smoothness of self-similar measures.

Publication Date

2016-11-01

Online Publication Date

2016-11-13

Acceptance Date

2015-11-24

Keywords

math.GR, math.GR, math.CA, math.CO

Journal Title

Annales de la Faculte des Sciences de Toulouse

Journal ISSN

0240-2963
2258-7519

Volume Title

25

Publisher

University of Toulouse

Rights

http://www.rioxx.net/licenses/all-rights-reserved

Sponsorship

European Research Council (Advanced Research Grant ID: 267259), ISF (grant ID: 983/09), Simons Foundation

Collections

Scholarly Works - Pure Mathematics and Mathematical Statistics
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