Courbes de Brody : dimension moyenne et distribution des valeurs

Abstract : This thesis focuses on properties of Brody curves which originated on questions about mean dimension. We present therefore a point of view opposite to the setting on which they were first applied, the hyperbolicity of complex varieties, where these curves are expected to be rare. In this setting, we show that the space of Brody curves on a Hopf surface has zero mean dimension, while that of curves avoiding a small number of hyperplanes in $P^n$ have a positive one. In a second time, we'll study the value distribution theory for Brody curves, determining further constraints on their behaviour implied by their particular structure.
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Bernardo Freitas Paulo da Costa. Courbes de Brody : dimension moyenne et distribution des valeurs. Mathématiques générales [math.GM]. Université Paris Sud - Paris XI, 2012. Français. ⟨NNT : 2012PA112106⟩. ⟨tel-00724444⟩

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