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math.CA2019
Recurrent Trajectories and Finite Critical Trajectories of Quadratic Differentials on the Riemann Sphere
Faouzi Thabet
In this paper, the focus will be on both the existence and non-existence respectively of finite critical trajectories and recurrent trajectories of a quadratic differential on the…
math.CA2019
Lemniscates as Trajectories of Quadratic Differentials (I)
Faouzi Thabet
In this note, we study polynomial and rational lemniscates as trajectories of related quadratic differentials. Many classic results can be then proved easily...