Titlebook: Random Polymers; École d’Été de Proba Frank Hollander Book 2009 Springer-Verlag Berlin Heidelberg 2009 Ergodic theory.Martingale.large devi

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Book 2009emical phenomena. The focus in this monograph is on the mathematical description of some of these phenomena, with particular emphasis on phase transitions as a function of interaction parameters, associated critical behavior and space-time scaling. Topics include: self-repellent polymers, self-attra

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Soft Polymers in Low Dimensionpter 3 will show that the soft polymer has . behavior in . = 1. The proof uses a Markovian representation of the local times of onedimensional SRW (a powerful technique that is useful also for other models), in combination with large deviation theory, variational calculus and spectral calculus. In C

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Elastic Polymershe difference between the times at which the self-intersection occurs. This model is called the .. Interestingly, it will turn out that this model has diffusive behavior in any . 1 as soon as the decay is sufficiently fast, namely, the critical dimension for diffusive behavior is . than . = 4 and de

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Polymer Collapse a negative energy is associated with contacts between any two monomers that are not connected to each other within the polymer chain. This is a model of a .: when the polymer does not like to make contact with a solvent it is immersed in, it tries to make contact with itself in order to push out th

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