Spectral gap in the group of affine transformations over prime fields
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Authors
Lindenstrauss, E
Varju, Peter
Publication Date
2016-11-01Journal Title
Annales de la Faculte des Sciences de Toulouse
ISSN
0240-2963
Publisher
University of Toulouse
Volume
25
Issue
5
Pages
969-993
Language
English
Type
Article
This Version
AM
Metadata
Show full item recordCitation
Lindenstrauss, E., & Varju, P. (2016). Spectral gap in the group of affine transformations over prime fields. Annales de la Faculte des Sciences de Toulouse, 25 (5), 969-993. https://doi.org/10.5802/afst.1518
Abstract
We 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.
Sponsorship
European Research Council (Advanced Research Grant ID: 267259), ISF (grant ID: 983/09), Simons Foundation
Identifiers
External DOI: https://doi.org/10.5802/afst.1518
This record's URL: https://www.repository.cam.ac.uk/handle/1810/261424
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