Directed polymers in random media and multifractal fields

Abstract : In this thesis, we study certain asymptotic properties of a model of directed polymer in random media. More precisely, we study the link between the partition function and the polymer measure when the size of the system goes to infinity. We also construct multifractal fields that satisfy certain statistical properties of the velocity field of a turbulent flow.
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Submitted on : Monday, November 27, 2006 - 11:31:11 AM
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Vincent Vargas. Directed polymers in random media and multifractal fields. Mathematics [math]. Université Paris-Diderot - Paris VII, 2006. English. ⟨tel-00116641⟩

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