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@article{faucris.117559024,
abstract = {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}.},
author = {Knauf, Andreas},
doi = {10.1512/iumj.2015.64.5655},
faupublication = {yes},
journal = {Indiana University Mathematics Journal},
pages = {1465--1512},
peerreviewed = {Yes},
title = {{The} spectrum of an adelic {Markov} operator},
volume = {64},
year = {2015}
}