Sets of block structure and discrepancy estimates
Some Distribution Properties of 0,1-Sequences.
Some remarks on the discrepancy of the sequence
Some remarks on the distribution of a sequence connected with .
Some upper bounds in the theory of irregularities of distribution
Substitutions and 1/2-discrepancy of nθ + x
Suites dont discrépance est comparable à un logarithme.
Sums of distances between points of a sphere.
Sums of distances to the nearest integer and the discrepancy of digital nets
Sur les discrépances
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 substitution. We also give some applications of these results in connection with the spectral study of substitutive dynamical systems.