4 papers
The distribution of spacings of real-valued lacunary sequences modulo one
Sneha Chaubey, Nadav Yesha
Let be a lacunary sequence of positive real numbers. Rudnick and Technau showed that for almost all , the pair correlation of $\…
Gap statistics and higher correlations for geometric progressions modulo one
Christoph Aistleitner, Simon Baker, Niclas Technau +1
Koksma's equidistribution theorem from 1935 states that for Lebesgue almost every , the fractional parts of the geometric progression are equidistributed mo…
On the correlations of mod 1
Niclas Technau, Nadav Yesha
A well known result in the theory of uniform distribution modulo one (which goes back to Fejér and Csillag) states that the fractional parts of the sequence $(n^α)_{n\ge1…
Small scale equidistribution for a point scatterer on the torus
Nadav Yesha
We study the small scale distribution of the eigenfunctions of a point scatterer (the Laplacian perturbed by a delta potential) on two- and three-dimensional flat tori. In two dime…