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Some Rigorous Results about Semiflexible Polymers I. Free and Confined Polymers O. Hryniv and Y. Velenik Stoch. Proc. Appl. 119, 3081-3100 (2009). We introduce a class of models of semiflexible polymers. The latter are characterised by a strong rigidity, the correlation length associated to the gradient-gradient correlations, called the persistence length, being of the same order as the polymer length. We determine the macroscopic scaling limit, from which we deduce bounds on the free energy of a polymer confined inside a narrow tube. Key words: Semiflexible polymers, persistence length, pinning, functional CLT, confinement. Files: PDF file, Published version, bibtex