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- Self-repelling fractional Brownian motion : a generalized Edwards model for chain polymersPublication . Bornales, Jinky; Oliveira, Maria João; Streit, LudwigWe present an extension of the Edwards model for conformations of individual chain molecules in solvents in terms of fractional Brownian motion, and discuss the excluded volume effect on the end-to-end length of such trajectories or molecules.
- Fractional Brownian polymers : some first resultsPublication . Bornales, Jinky; Eleutério, Samuel; Oliveira, Maria João; Streit, LudwigRecently the Edwards model for chain polymers in good solvents has been extended to include fractional Brownian motion trajectories as a description of polymer conformations. This raises in particular the question of the corresponding Flory formula for the end-to-end length of those molecules. A generalized Flory formula has been proposed, and there are some first results of numerical validations.
- Chaos decomposition and gap renormalization of brownian self-intersection local timesPublication . Bornales, Jinky; Oliveira, Maria João; Streit, LudwigWe study the chaos decomposition of self-intersection local times and their regularization, with a particular view towards Varadhan's renormalization for the planar Edwards model.