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math.DS2021★ 1 cited
On the spectral theory of groups of automorphisms of -adic nilmanifolds
Bachir Bekka, Yves Guivarc'h
Let for prime integers Let be an -adic compact nilmanifold, equipped with the unique translation invariant probability meas…
math.DS2018
Spectral gap property and strong ergodicity for groups of affine transformations of solenoids
Bachir Bekka, Camille Francini
Let X be a solenoid, that is, a compact finite dimensional connected abelian group with normalized Haar measure m, and let G be a countable discrete group acting on X by continuous…