Spacings and pair correlations for finite Bernoulli convolutions
Spacings and pair correlations for finite Bernoulli convolutions
We consider finite Bernoulli convolutions with a parameter 1/2 < λ < 1 supported on a discrete point set, generically of size 2N. These sequences are uniformly distributed with respect to the infinite Bernoulli convolution measure νλ, as N → ∞. Numerical evidence suggests that for a generic λ, the …