4 papers
An inverse problem in Pólya--Schur theory. II. Exactly solvable operators and complex dynamics
Per Alexandersson, Nils Hemmingsson, Boris Shapiro
This paper, being the sequel of [An inverse problem in Polya-Schur theory. I. Non-genegerate and degenerate operators], studies a class of linear ordinary differential operators wi…
Conformal measures of (anti)holomorphic correspondences
Nils Hemmingsson, Xiaoran Li, Zhiqiang Li
In this paper, we study the existence and properties of conformal measures on limit sets of (anti)holomorphic correspondences. We show that if the critical exponent satisfies $1\le…
On boundary points of minimal continuously Hutchinson invariant sets
Per Alexandersson, Nils Hemmingsson, Dmitry Novikov +2
A linear differential operator with polynomial coefficients defines a continuous family of Hutchinson operators when acting on the space of positive power…
Equidistribution of iterations of holomorphic correspondences and Hutchinson invariant sets
Nils Hemmingsson
In this paper, we analyze a certain family of holomorphic correspondences on and prove their equidistribution properties. In particular, for…