3 papers
math.CV2025
Around Fekete's theorem
Norm Levenberg, Mayuresh Londhe
A classical result of Fekete gives necessary conditions on a compact set in the complex plane so that it contains infinitely many sets of conjugate algebraic integers. For such set…
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.DS2024
Ergodicity in the dynamics of holomorphic correspondences
Mayuresh Londhe
This paper studies ergodic properties of certain measures arising in the dynamics of holomorphic correspondences. These measures, in general, are not invariant in the classical sen…