Adamczewski Boris
Symbolic discrepancy and self-similar dynamics.
We consider subshifts arising from primitive substitutions, which are known
to be uniquely ergodic dynamical systems. In order to precise this point, we
introduce a symbolic notion of discrepancy. We show how the distribution
of such a subshift is in part ruled by the spectrum of the incidence matrices
associated with the underlying substitutions. We also give some applications
of these results in connection with the spectral study of substitutive
dynamical systems and with the arithmetical properties of some toral
translations.
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