Galois groups of random polynomials of large degree

Guy Blachar, Emmanuel Breuillard, Gady Kozma

We study random polynomials of the form $R(x)=x^n+{\omega }_{n-1}{x}^{n-1}+\cdots +{\omega }_0$, where ${\omega }_0,\dots ,{\omega }_{n-1}$ are independent, uniformly bounded integer-valued random variables, and $ω_1…