%0 Journal Article
%T The Spectrum of an Adelic Markov Operator
%A Andreas Knauf
%J Mathematics
%D 2013
%I arXiv
%X With the help of the representation of SL(2,Z) on the rank two free module over the integer adeles, we define the transition operator of a Markov chain. The real component of its spectrum exhibits a gap, whereas the non-real component forms a circle of radius 1/\sqrt{2}.
%U http://arxiv.org/abs/1305.6410v1