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math.DS2025
On limit sets for geodesics of meromorphic connections
Dmitry Novikov, Boris Shapiro, Guillaume Tahar
Meromorphic connections on Riemann surfaces originate and are closely related to the classical theory of linear ordinary differential equations with meromorphic coefficients. Limit…
math.DS2024
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…
math.DS2024
Linear first order differential operators and their Hutchinson-invariant sets
Per Alexandersson, Nils Hemmingsson, Dmitry Novikov +2
In this paper, we initiate the study of a new interrelation between linear ordinary differential operators and complex dynamics which we discuss in details in the simplest case of…