1 citations · 1 across the 6 of their papers we have counts for
6 papers
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…
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…
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…
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…
Recurrence in the dynamics of meromorphic correspondences and holomorphic semigroups
Mayuresh Londhe
This paper studies recurrence phenomena in iterative holomorphic dynamics of certain multi-valued maps. In particular, we prove an analogue of the Poincaré recurrence theorem for m…
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…