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Spectral gap in the group of affine transformations over prime fields

Accepted version
Peer-reviewed

Type

Article

Change log

Authors

Lindenstrauss, E 
Varju, PP 

Abstract

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

Description

Keywords

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

Journal Title

Annales de la Faculte des Sciences de Toulouse

Conference Name

Journal ISSN

0240-2963
2258-7519

Volume Title

25

Publisher

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