3 papers
math.NT2026
Arithmetic probability measures
Mayuresh Londhe
We consider probability measures on compact subsets of the complex plane arising as limiting distributions of Galois conjugates of certain algebraic integers. These measures are ch…
math.CV2025
Equidistribution of the conjugates of algebraic units
Norm Levenberg, Mayuresh Londhe
We prove an equidistribution result for the zeros of polynomials with integer coefficients and simple zeros. Specifically, we show that the normalized zero measures associated with…
math.CV2020
Dynamics of polynomial semigroups: measures, potentials, and external fields
Mayuresh Londhe
In this paper, we give a description of a natural invariant measure associated with a finitely generated polynomial semigroup (which we shall call the Dinh--Sibony measure) in term…