3 papers
math.PR2021
Sums of random polynomials with differing degrees
Isabelle Kraus, Marcus Michelen, Sean O'Rourke
Let and be probability measures in the complex plane, and let and be independent random polynomials of degree , whose roots are chosen independently from and…
math.NT2017
On spectral sets of integers
Dorin Ervin Dutkay, Isabelle Kraus
Based on tiles and on the Coven-Meyerowitz property, we present some examples and some general constructions of spectral subsets of integers.
math.NT2016
Scaling of spectra of Cantor-type measures and some number theoretic considerations
Dorin Ervin Dutkay, Isabelle Kraus
We investigate some relations between number theory and spectral measures related to the harmonic analysis of a Cantor set. Specifically, we explore ways to determine when an odd n…