Resumen
We consider finite Bernoulli convolutions with a parameter 1/2 < ? < 1 supported on a discrete point set, generically of size 2N. These sequences are uniformly distributed with respect to the infinite Bernoulli convolution measure ??, as N ? 8. Numerical evidence suggests that for a generic ?, the distribution of spacings between appropriately rescaled points is Poissonian. We obtain some partial results in this direction; for instance, we show that, on average, the pair correlations do not exhibit attraction or repulsion in the limit. On the other hand, for certain algebraic ? the behaviour is totally different.