Spectral gap in the group of affine transformations over prime fields

Authors
Lindenstrauss, E 
Varju, PP 

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Type
Article
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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.

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