4 citations · 17 across the 18 of their papers we have counts for
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Conjugacies of geodesic flows in affine cylinders and tori
Xavier Buff, Guillaume Tahar
Affine cylinders (genus zero surfaces with two singularities) and affine tori (genus one surfaces without singularities) are among the simplest examples of surfaces endowed with a…
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…
Horizon saddle connections and Morse-Smale dynamics of dilation surfaces
Guillaume Tahar
Dilation surfaces are generalizations of translation surfaces where the transition maps of the atlas are translations and homotheties with a positive ratio. In contrast with transl…
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…